From afc0ba37eb21de0e0b97418840eb7b1528e5df56 Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Thu, 30 Jun 2022 15:07:04 -0500 Subject: [PATCH 01/22] start of adding nondimensional section. --- source/tutorials/fdlf.rst | 177 +++++++++++++++++++++++++++++++------- 1 file changed, 144 insertions(+), 33 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 030af5b..894323f 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -176,52 +176,52 @@ The next step is to specify the intial conditions. This can be done in the subro .. code-block:: fortran - subroutine useric(ix,iy,iz,ieg) - implicit none - include 'SIZE' - include 'TOTAL' - include 'NEKUSE' + subroutine useric(ix,iy,iz,eg) + c implicit none + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' - integer ix,iy,ix,ieg + integer ix,iy,ix,eg - um = uparam(2) - Tin = uparam(4) + um = uparam(2) + Tin = uparam(4) - ux = um - uy = 0.0 - uz = 0.0 - temp = Tin + ux = um + uy = 0.0 + uz = 0.0 + temp = Tin - return - end + return + end The inlet temperature and mean velocity are called from the list of user defined parameters in the ``.par`` file. The boundary conditions can be setup in subroutine ``userbc`` as follows: .. code-block:: fortran - subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions - implicit none - include 'SIZE' - include 'TOTAL' - include 'NEKUSE' + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions + c implicit none + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' - integer ix,iy,iz,iside,eg + integer ix,iy,iz,iside,eg - H = uparam(1) !channel height - um = uparam(2) !mean velocity - qpp = uparam(3) !heat flux - Tin = uparam(4) !mean inlet temperature - con = cpfld(2,1) !thermal conductivity - term = qpp*H/(2*con) + H = uparam(1) !channel height + um = uparam(2) !mean velocity + qpp = uparam(3) !heat flux + Tin = uparam(4) !mean inlet temperature + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) - ux = um*3./2.*(1-4.*(y/H)**2) - uy = 0.0 - uz = 0.0 - temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin - flux = qpp + ux = um*3./2.*(1-4.*(y/H)**2) + uy = 0.0 + uz = 0.0 + temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin + flux = qpp - return - end + return + end The channel height, mean velocity, heat flux, and mean inlet temperature are all called from the list of user defined parameters in the ``.par`` file as well. @@ -396,3 +396,114 @@ Plots of the velocity and temperature varying along the y-axis as evaluated by N Nek5000 temperature solutions plotted against analytical solutions. +........................ +Nondimensionalizing the case +........................ + +This case can also be ran nondimensionally in Nek5000 to yield the same results. + +First, the length scale needs to be determined to nondimensionalize the fluid domain. +The length scale can be found by calculating the hydraulic diameter. + +.. math:: + D_H = \frac{4A_{xs}}{P_w}= \frac{4 \Delta z H}{2 \Delta z} = 2H + +The dimensions of the channel can now both be nondimensionalized using the hydraulic diameter. + +.. math:: + x_{max}^*=\frac{x_{max}}{D_H}=\frac{H/2}{2H}=\frac{1}{4} + y_{max}^*=\frac{y_{max}}{D_H}=\frac{L}{2H}=\frac{0.2}{0.02}=10 + +These are the new values used in genbox to generate the nondimensional domain in ``fdlf.box``. +.. code-block:: none + + -2 spatial dimension (will create box.re2) + 2 number of fields + # + # comments: periodic laminar flow + # + #======================================================== + # + Box fdlf + -50 -5 Nelx Nely + 0.0 0.25 1.0 x0 x1 ratio + 0.0 10 0.7 y0 y1 ratio + v ,O ,SYM,W Velocity BC's: (cbx0, cbx1, cby0, cby1) + t ,O ,I ,f Temperature BC's: (cbx0, cbx1, cby0, cby1) + + +The next file that needs to be modified is the ``fdlf.par`` file. +The user parameters can be removed from the par file as they won't be needed anymore to run the case nondimensionally and instead they will be adjusted for in the ``fdlf.usr`` file later. + +.. code-block:: ini + + # + # nek parameter file + # + [GENERAL] + dt = 1.0e-3 + numsteps = 10000 + writeInterval = 2000 + + [VELOCITY] + density = 1 + viscosity = -600 + + [TEMPERATURE] + rhoCp = 1 + conductivity = -480 + + +Both ``rho`` and ``rhoCp`` become 1 and ``viscosity`` is set to -600 to define the Reynolds number while ``conductivity`` is set to -480 to define the Peclet number. +The time step size was also increased because the case took longer to develop and the CFL was low enough to support the increase in step size. + +The last file that needs to be modified to nondimensionalize the case is the ``fdlf.usr`` file. +The inlet conditions are nondimensionalized as shown and the resulting values are defined in ``useric``. + +.. math:: + u_m^* = u_m/u_m = 1 + T_{in}^* = \frac{T_{in}-T_{in}}{\Delta T_{ref}} = 0 + +.. code-block:: fortran + + subroutine useric(ix,iy,iz,eg) + c implicit none + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer ix,iy,ix,eg + + ux = 1.0 + uy = 0.0 + uz = 0.0 + temp = 0.0 + + return + end + +In ``userbc`` the heat flux is simply set equal to 1 and the equations for velocity and temperature are replaced with their respective nondimensional forms. + +.. code-block:: fortran + + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions + c implicit none + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer ix,iy,iz,iside,eg + + qpp = 1 !heat flux + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) + + ux = 3./2.*(1-16*y**2) + uy = 0.0 + uz = 0.0 + temp = (1/(4*con))*(12.*y**2-32.*y**4-39./280.) + flux = qpp + + return + end + From 7c409b3231e0046e3b58c6968e4ceb23492992b7 Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Thu, 30 Jun 2022 15:18:55 -0500 Subject: [PATCH 02/22] fixing genbox script --- source/tutorials/fdlf.rst | 1 + 1 file changed, 1 insertion(+) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 894323f..cb1512a 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -415,6 +415,7 @@ The dimensions of the channel can now both be nondimensionalized using the hydra y_{max}^*=\frac{y_{max}}{D_H}=\frac{L}{2H}=\frac{0.2}{0.02}=10 These are the new values used in genbox to generate the nondimensional domain in ``fdlf.box``. + .. code-block:: none -2 spatial dimension (will create box.re2) From a1aac91e20dbc9281f1b645e7f82c7f4a6371aea Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Thu, 30 Jun 2022 15:45:02 -0500 Subject: [PATCH 03/22] added plots --- source/tutorials/fdlf.rst | 21 +++++++++++++++++- .../fdlf/temperature_lineplot_nondim.png | Bin 0 -> 59489 bytes .../fdlf/velocity_lineplot_nondim.png | Bin 0 -> 58858 bytes 3 files changed, 20 insertions(+), 1 deletion(-) create mode 100644 source/tutorials/fdlf/temperature_lineplot_nondim.png create mode 100644 source/tutorials/fdlf/velocity_lineplot_nondim.png diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index cb1512a..bb960c4 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -507,4 +507,23 @@ In ``userbc`` the heat flux is simply set equal to 1 and the equations for veloc return end - + +The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. +The results from running the cases nondimensionally compared to the dimensional case and analytical solution are shown below in :numref:`fig:velocity_lineplot_nondim` and :numref:`fig:temperature_lineplot_nondim`. + +.. _fig:velocity_lineplot_nondim: + +.. figure:: fdlf/velocity_lineplot_nondim.png + :align: center + :figclass: align-center + + Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions. + +.. _fig:temperature_lineplot_nondim: + +.. figure:: fdlf/temperature_lineplot_nondim.png + :align: center + :figclass: align-center + + Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions. + diff --git a/source/tutorials/fdlf/temperature_lineplot_nondim.png b/source/tutorials/fdlf/temperature_lineplot_nondim.png new file mode 100644 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Y))o8e&C)qUUWn4$vP1j6ruC`+1;$Viga7~l literal 0 HcmV?d00001 From 77d63991d764066a427ad701d54dbcb187c8a48b Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Thu, 30 Jun 2022 15:48:45 -0500 Subject: [PATCH 04/22] trying to fix plots --- source/tutorials/fdlf.rst | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index bb960c4..3259736 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -511,10 +511,11 @@ In ``userbc`` the heat flux is simply set equal to 1 and the equations for veloc The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. The results from running the cases nondimensionally compared to the dimensional case and analytical solution are shown below in :numref:`fig:velocity_lineplot_nondim` and :numref:`fig:temperature_lineplot_nondim`. + .. _fig:velocity_lineplot_nondim: .. figure:: fdlf/velocity_lineplot_nondim.png - :align: center + :align: center :figclass: align-center Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions. @@ -522,8 +523,9 @@ The results from running the cases nondimensionally compared to the dimensional .. _fig:temperature_lineplot_nondim: .. figure:: fdlf/temperature_lineplot_nondim.png - :align: center + :align: center :figclass: align-center Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions. + From 5f61823e13bcc4250a70e9be324a9d9de787297d Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 6 Jul 2022 08:52:53 -0500 Subject: [PATCH 05/22] fixed plot --- 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z!l!+duNNn8l&wbJzDw!3%>KDHM#&vwB7CB&V{oSi4kNLvngwtopP#uC@2<3j)0k|Q zJ-MI6ZQ^hUyi(n%!{aNvGx(%Uu0weUag0bY;0Ga7DLoDa%mA|(4IL`#A^M-D_#h1DlfeZ<^Vsi zNJV2Jv7E$PG=)T=)o2UOp+$??J7OBO}vUT;H#f&ku6ojEf<(Q{ZOId6sQH)S8N8L3x6pba0~ORn*%VL$ z196sOqie0+;K3JjzjqkF2SwFm{K`JH3o#wB;!Wqb^hO2}X0nJT;+)fUzB{XEPzBe$8VI^I9q65DzhB=$0~)$W z6OgkNz|UDNI>L04P|PA7Yzn2mQ(crS%2on<+RT1k}B zRAGocg2+)I%_a3<&!&_wnqlYo?p|GoZ=*#MddTiXh7qP5VzLnV z7oJ=%Vg3R;7IH<_=p(36VpO^al|P7G*oE_~DdaVGS+U3q6`?Fc20D zXP0{O*FyAFurERuDHX;}ETjamGOqtmNCbC){X5L8E^Cb(jB$q~Gx0Nap|S75<+Z nC2@)Wv3lUY`mf|hxn_!oKmC~6<~0*PrKuBV8byv@vhDu>2YFcc From efad2701cf26dc50c322eedd5e96e56d1a90ed1b Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Fri, 15 Jul 2022 16:45:36 -0500 Subject: [PATCH 06/22] updating plots and fixing nondimensional tutorial --- source/tutorials/fdlf.rst | 62 ++++++++++++------ .../fdlf/temperature_lineplot_nondim.png | Bin 58270 -> 58120 bytes .../temperature_lineplot_nondim_wrong.png | Bin 0 -> 48584 bytes .../fdlf/velocity_lineplot_nondim_wrong.png | Bin 0 -> 49662 bytes 4 files changed, 43 insertions(+), 19 deletions(-) create mode 100644 source/tutorials/fdlf/temperature_lineplot_nondim_wrong.png create mode 100644 source/tutorials/fdlf/velocity_lineplot_nondim_wrong.png diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 3259736..f4191ba 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -414,26 +414,10 @@ The dimensions of the channel can now both be nondimensionalized using the hydra x_{max}^*=\frac{x_{max}}{D_H}=\frac{H/2}{2H}=\frac{1}{4} y_{max}^*=\frac{y_{max}}{D_H}=\frac{L}{2H}=\frac{0.2}{0.02}=10 -These are the new values used in genbox to generate the nondimensional domain in ``fdlf.box``. - -.. code-block:: none - - -2 spatial dimension (will create box.re2) - 2 number of fields - # - # comments: periodic laminar flow - # - #======================================================== - # - Box fdlf - -50 -5 Nelx Nely - 0.0 0.25 1.0 x0 x1 ratio - 0.0 10 0.7 y0 y1 ratio - v ,O ,SYM,W Velocity BC's: (cbx0, cbx1, cby0, cby1) - t ,O ,I ,f Temperature BC's: (cbx0, cbx1, cby0, cby1) +These changes to the fluid domain can be done in ``usrdat2`` in the ``fdlf.usr`` which modifeies the mesh domain. -The next file that needs to be modified is the ``fdlf.par`` file. +The first file that needs to be modified is the ``fdlf.par`` file. The user parameters can be removed from the par file as they won't be needed anymore to run the case nondimensionally and instead they will be adjusted for in the ``fdlf.usr`` file later. .. code-block:: ini @@ -442,7 +426,7 @@ The user parameters can be removed from the par file as they won't be needed any # nek parameter file # [GENERAL] - dt = 1.0e-3 + dt = 2.0e-3 numsteps = 10000 writeInterval = 2000 @@ -508,6 +492,28 @@ In ``userbc`` the heat flux is simply set equal to 1 and the equations for veloc return end +The last change needed to be made is in ``usrdat2`` to nondimensionalize the domain. + +.. code-block:: fortran + + subroutine usrdat2() ! This routine to modify mesh coordinates + + c implicit none + + include 'SIZE' + include 'TOTAL' + + Dh = 0.02 !m + + n = lx1*ly1*lz1*nelv + + call cmult(xm1,1/Dh,n) + call cmult(ym1,1/Dh,n) + + return + end + +This edit multiplies all of the :math:`x` and :math:`y` coordinates in the domain by :math:`1/Dh`. The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. The results from running the cases nondimensionally compared to the dimensional case and analytical solution are shown below in :numref:`fig:velocity_lineplot_nondim` and :numref:`fig:temperature_lineplot_nondim`. @@ -528,4 +534,22 @@ The results from running the cases nondimensionally compared to the dimensional Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions. +It's important to note that the nondimensional results need to be scaled for an accurate comparison to the dimensional results otherwise it will look like the data doesn't match as shown below in :numref:`fig:velocity_lineplot_nondim_wrong` and :numref:`fig:temperature_lineplot_nondim_wrong`. + + +.. _fig:velocity_lineplot_nondim_wrong: + +.. figure:: fdlf/velocity_lineplot_nondim_wrong.png + :align: center + :figclass: align-center + + Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions without scaling. + +.. _fig:temperature_lineplot_nondim_wrong: + +.. figure:: fdlf/temperature_lineplot_nondim_wrong.png + :align: center + :figclass: align-center + + Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions without scaling. diff --git a/source/tutorials/fdlf/temperature_lineplot_nondim.png b/source/tutorials/fdlf/temperature_lineplot_nondim.png index 71a1a8e8c5ccb52dfb12d8d8990ced8100a6be5e..df193bfb164adb664068991b827745c743fb8823 100644 GIT binary patch literal 58120 zcmeFZbyQXD*EYHo6$^P(Fldz!B$QAZL=iVgNJ^t9-6_3I6qMMch=6n>NT1VzwiCNan3(yeB+!y&Nz(c8KP{~y4M|ZUh}%Hxn3(N$WR=nIgDW#1@87u zWeg*mfdA8Y;J4XV;JRq^#7h@i6m3_M?nYa zdk!krMh?#R?H*y4_Z@63tQ{;&A22yRva>g}w<y!hM;O$;83IMwo}^zkkkcZD-7r zH|u>G!D+?$BIH4Ec;pWh1cm~OK0vr65v7ng3ziIf!@;r}fsBz-Z2 z*}L`}g|x>7kNS`03PC19jjXt{*{=faBC?l;Hny{~(sZwSH?Fzoi_I0h?^*5M+%D>$ z@9ZxhDr(+z_2N`dYv+JbW0=83^0*_U@34Iiq(ARG!5>54;1B)tV-Nb~@}9lI=ueDQ 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zAc6FL3XV=q=kowPPIT!aQ3U$jyQDq+$X2iS3Q82HErARnWCymd;lG%jAcV~-_<5mG zmxYL-d5@+F=`wJj;+hGFI=veTa2umhQ7s!&t0ZzV05O$ivMx8T* z02vA8s1%V%j*YROk}`=9FuVa39*IRNrZkFzO9=-nV(HsrNFzb8bQp4sC0~5X_=@d_ zWV4YX^epZxyGi9pPPITq_CPsJ$lgw(zeelTqH)5E?CLzW3SJ>0+7`_ zxtY3VfG`|R6JH13pQ^^b!CaAsviHQ@1zy*VQM_uv zWtL)&U{Ej4i4LOz?GHF3FD=XF`&g)ps(|+p1jV2dijl^u_6z#-%CAUL$mfBCDcG#$ zwV>R024l(+*3Wy?6Ipq+<;c&KIZ`!+5QHC?Wg9dy9eGk%EXt{tcuoNqsX!bQ@!f50p4r^SWv$S@n0E02dmA4D4 zK|S`U5M_)|MFmmYgxQR@{uPgeexw;Y{wMUP6ZMX3IWt Date: Fri, 15 Jul 2022 16:50:24 -0500 Subject: [PATCH 07/22] removing useless line in userbc --- source/tutorials/fdlf.rst | 1 - 1 file changed, 1 deletion(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index f4191ba..b2b9d84 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -481,7 +481,6 @@ In ``userbc`` the heat flux is simply set equal to 1 and the equations for veloc qpp = 1 !heat flux con = cpfld(2,1) !thermal conductivity - term = qpp*H/(2*con) ux = 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zAc6FL3XV=q=kowPPIT!aQ3U$jyQDq+$X2iS3Q82HErARnWCymd;lG%jAcV~-_<5mG zmxYL-d5@+F=`wJj;+hGFI=veTa2umhQ7s!&t0ZzV05O$ivMx8T* z02vA8s1%V%j*YROk}`=9FuVa39*IRNrZkFzO9=-nV(HsrNFzb8bQp4sC0~5X_=@d_ zWV4YX^epZxyGi9pPPITq_CPsJ$lgw(zeelTqH)5E?CLzW3SJ>0+7`_ zxtY3VfG`|R6JH13pQ^^b!CaAsviHQ@1zy*VQM_uv zWtL)&U{Ej4i4LOz?GHF3FD=XF`&g)ps(|+p1jV2dijl^u_6z#-%CAUL$mfBCDcG#$ zwV>R024l(+*3Wy?6Ipq+<;c&KIZ`!+5QHC?Wg9dy9eGk%EXt{tcuoNqsX!bQ@!f50p4r^SWv$S@n0E02dmA4D4 zK|S`U5M_)|MFmmYgxQR@{uPgeexw;Y{wMUP6ZMX3IWt Date: Mon, 18 Jul 2022 11:35:47 -0500 Subject: [PATCH 09/22] reordered nondimensional section --- source/tutorials/fdlf.rst | 38 ++++++++++++++++++++++++-------------- 1 file changed, 24 insertions(+), 14 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index b2b9d84..7fb22b1 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -514,41 +514,51 @@ The last change needed to be made is in ``usrdat2`` to nondimensionalize the dom This edit multiplies all of the :math:`x` and :math:`y` coordinates in the domain by :math:`1/Dh`. The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. -The results from running the cases nondimensionally compared to the dimensional case and analytical solution are shown below in :numref:`fig:velocity_lineplot_nondim` and :numref:`fig:temperature_lineplot_nondim`. +The results from running the case can be seen below. +It's important to note that the nondimensional results need to be scaled for an accurate comparison to the dimensional results. The two separate scales before adjusting the nondimensional results are shown below in :numref:`fig:velocity_lineplot_nondim_unscaled` and :numref:`fig:temperature_lineplot_nondim_unscaled`. -.. _fig:velocity_lineplot_nondim: +.. _fig:velocity_lineplot_nondim_unscaled: -.. figure:: fdlf/velocity_lineplot_nondim.png +.. figure:: fdlf/velocity_lineplot_nondim_unscaled.png :align: center :figclass: align-center - Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions. + Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions without scaling. -.. _fig:temperature_lineplot_nondim: +.. _fig:temperature_lineplot_nondim_unscaled: -.. figure:: fdlf/temperature_lineplot_nondim.png +.. figure:: fdlf/temperature_lineplot_nondim_unscaled.png :align: center :figclass: align-center - Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions. + Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions without scaling. -It's important to note that the nondimensional results need to be scaled for an accurate comparison to the dimensional results otherwise it will look like the data doesn't match as shown below in :numref:`fig:velocity_lineplot_nondim_wrong` and :numref:`fig:temperature_lineplot_nondim_wrong`. +The nondimensional results can be scaled to match the dimensional results by redimensionalizing the sults using the relationship between the dimensional and nondimensional variables defined above: +.. math:: + x^*=\frac{x}{D_H}=\frac{x}{2H} \xrightarrow x=x^* * 2H=0.2x + y^*=\frac{y}{D_H}=\frac{y}{2H} \xrightarrow y=y^* * 2H=0.2y + \vec{u}^* = \vec{u}/u_m \xrightarrow \vec{u} = \vec{u}^* * u_m =0.5 \vec{u} + T^* = \frac{T-T_{in}}{\Delta T_{ref}} \xrightarrow T = T^* * \Delta T_{ref} + T_{in} + +The scaled nondimensional results can be seen below in :numref:`fig:velocity_lineplot_nondim` and :numref:`fig:temperature_lineplot_nondim`. -.. _fig:velocity_lineplot_nondim_wrong: + +.. _fig:velocity_lineplot_nondim: -.. figure:: fdlf/velocity_lineplot_nondim_wrong.png +.. figure:: fdlf/velocity_lineplot_nondim.png :align: center :figclass: align-center - Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions without scaling. + Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions. -.. _fig:temperature_lineplot_nondim_wrong: +.. _fig:temperature_lineplot_nondim: -.. figure:: fdlf/temperature_lineplot_nondim_wrong.png +.. figure:: fdlf/temperature_lineplot_nondim.png :align: center :figclass: align-center - Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions without scaling. + Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions. + From e2e1d571181ee5ab71bc134ea0da6207e7f2351f Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Mon, 18 Jul 2022 11:42:27 -0500 Subject: [PATCH 10/22] resizing plots and fixing grammatical errors --- source/tutorials/fdlf.rst | 3 ++- .../tutorials/fdlf/temperature_lineplot.png | Bin 35449 -> 29109 bytes .../fdlf/temperature_lineplot_nondim.png | Bin 38523 -> 32285 bytes .../temperature_lineplot_nondim_unscaled.png | Bin 40843 -> 28402 bytes source/tutorials/fdlf/velocity_lineplot.png | Bin 36503 -> 29953 bytes .../fdlf/velocity_lineplot_nondim.png | Bin 39767 -> 33274 bytes .../velocity_lineplot_nondim_unscaled.png | Bin 43247 -> 30421 bytes 7 files changed, 2 insertions(+), 1 deletion(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 7fb22b1..0d7cb0e 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -515,6 +515,7 @@ The last change needed to be made is in ``usrdat2`` to nondimensionalize the dom This edit multiplies all of the :math:`x` and :math:`y` coordinates in the domain by :math:`1/Dh`. The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. The results from running the case can be seen below. + It's important to note that the nondimensional results need to be scaled for an accurate comparison to the dimensional results. The two separate scales before adjusting the nondimensional results are shown below in :numref:`fig:velocity_lineplot_nondim_unscaled` and :numref:`fig:temperature_lineplot_nondim_unscaled`. @@ -534,7 +535,7 @@ It's important to note that the nondimensional results need to be scaled for an Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions without scaling. -The nondimensional results can be scaled to match the dimensional results by redimensionalizing the sults using the relationship between the dimensional and nondimensional variables defined above: +The nondimensional results can be scaled to match the dimensional results by dimensionalizing the results using the relationship between the dimensional and nondimensional variables defined previously: .. math:: x^*=\frac{x}{D_H}=\frac{x}{2H} \xrightarrow x=x^* * 2H=0.2x diff --git a/source/tutorials/fdlf/temperature_lineplot.png b/source/tutorials/fdlf/temperature_lineplot.png index 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z+a=eH$Z621>t*6`ZGhD@pzj>JxjNR-yP;)qIPSTTonif$hI2FMugQ|~B*A1Qp&!(? zfK0P(vhZDkdE!fpNav&-Uozn5@n0Wa)M33NVgsPi0fMpOwJf{r3~S%F%`eX4fgz(v zrY5^4=Do~cX9<>pUe(S>Zx{^vvNu4KV6fhtzW#ERbAA(_BlG0{NCivjfkrp`XKY>Et@&u8hLe`2-Tt={>MU;U<9s+I(JKu@R%=?in7aAt_MGZzN#ABS=@~=^%m0jOiN4GL$Yu?6ra{q z%Gczkxw@uZ!CcPEq1Y%vT}qnPeliQq(SXgArvGG@B7S0jXgtBAu*M^=Hwen3{-lJh zOvu-RmN=xLINTKO;AwcK4kalmsi~2YfbDxN1$raSZk0#bso4Bbue`i`jG5DjToSJt4M7u;`IrvdR1-99;|88i=Q)mOd$<~uf z2(b$*(Th+C30QZy{?jJN*d?4A<&%fFU2ruXmzMdcdiOKHonDuCiZ z_+iM-%3PC{brH+M`w(MJ^p~5+P5tJIljB)by^vK=PB=zjK2|IlLR_8eSBYYI?4g8h=8 z?ttI5@c7o*jd;@}DcPa`y~@|?n$lFG7={`y?Ro~P&jW+s?uZ+TLD^v8*KgV(rnKef07vAu4ueny7=(s_eliq1OR F{vVb!#@qk^ From 4332bfb8a02346f2a768ea6a77e6e63ebbbe6aef Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 20 Jul 2022 10:05:25 -0500 Subject: [PATCH 14/22] added Re and Pe equations and case files --- source/tutorials/fdlf.rst | 193 ++++------------- source/tutorials/fdlf/NDfdlf.par | 15 ++ source/tutorials/fdlf/NDfdlf.usr | 348 +++++++++++++++++++++++++++++++ source/tutorials/fdlf/fdlf.box | 13 ++ source/tutorials/fdlf/fdlf.ma2 | Bin 0 -> 5136 bytes source/tutorials/fdlf/fdlf.par | 20 ++ source/tutorials/fdlf/fdlf.re2 | Bin 0 -> 32188 bytes source/tutorials/fdlf/fdlf.usr | 173 +++++++++++++++ 8 files changed, 609 insertions(+), 153 deletions(-) create mode 100644 source/tutorials/fdlf/NDfdlf.par create mode 100644 source/tutorials/fdlf/NDfdlf.usr create mode 100644 source/tutorials/fdlf/fdlf.box create mode 100644 source/tutorials/fdlf/fdlf.ma2 create mode 100644 source/tutorials/fdlf/fdlf.par create mode 100644 source/tutorials/fdlf/fdlf.re2 create mode 100644 source/tutorials/fdlf/fdlf.usr diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 0d7cb0e..a2194c4 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -123,28 +123,8 @@ Control parameters The control parameters for any case are given in the ``.par`` file. For this case, create a new file called ``fdlf.par`` with the following: -.. code-block:: ini - - # - # nek parameter file - # - [GENERAL] - dt = 1.0e-4 - numsteps = 10000 - writeInterval = 2000 - - userParam01 = 0.01 #channel height [m] - userParam02 = 0.5 #mean velocity [m/s] - userParam03 = 300.0 #heat flux [W/m^2] - userParam04 = 10 #inlet temperature [C] - - [VELOCITY] - density = 1.2 #kg/m3 - viscosity = 0.00002 #kg/m-s - - [TEMPERATURE] - rhoCp = 1200.0 #J/m3-K - conductivity = 0.025 #W/m-K +.. literalinclude:: fdlf/fdlf.par + :language: ini For this case the properties evaluated are for air at ~20 C. Note that ``rhoCp`` is the product of density and specific heat. @@ -174,54 +154,17 @@ Initial & boundary conditions The next step is to specify the intial conditions. This can be done in the subroutine ``useric`` as follows: -.. code-block:: fortran - - subroutine useric(ix,iy,iz,eg) - c implicit none - include 'SIZE' - include 'TOTAL' - include 'NEKUSE' - - integer ix,iy,ix,eg - - um = uparam(2) - Tin = uparam(4) - - ux = um - uy = 0.0 - uz = 0.0 - temp = Tin - - return - end +.. literalinclude:: fdlf/fdlf.usr + :language: fortran + :line: 102-126 + :emphasis-lines: 112-117,119,122,123 The inlet temperature and mean velocity are called from the list of user defined parameters in the ``.par`` file. The boundary conditions can be setup in subroutine ``userbc`` as follows: -.. code-block:: fortran - - subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions - c implicit none - include 'SIZE' - include 'TOTAL' - include 'NEKUSE' - - integer ix,iy,iz,iside,eg - - H = uparam(1) !channel height - um = uparam(2) !mean velocity - qpp = uparam(3) !heat flux - Tin = uparam(4) !mean inlet temperature - con = cpfld(2,1) !thermal conductivity - term = qpp*H/(2*con) - - ux = um*3./2.*(1-4.*(y/H)**2) - uy = 0.0 - uz = 0.0 - temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin - flux = qpp - - return - end +.. literalinclude:: fdlf/fdlf.usr + :language: fortran + :lines: 77-100 + :emphasis-lines: 91,92,94,97 The channel height, mean velocity, heat flux, and mean inlet temperature are all called from the list of user defined parameters in the ``.par`` file as well. @@ -291,22 +234,9 @@ It is recommended to copy a template of the ``SIZE`` file from the core director Then, adjust the following parameters in the BASIC section -.. code-block:: fortran - - ... - - ! BASIC - parameter (ldim=2) - parameter (lx1=8) - parameter (lxd=12) - parameter (lx2=lx1-0) - - parameter (lelg=250) - parameter (lpmin=1) - parameter (lelt=lelg/lpmin + 3) - parameter (ldimt=1) - - ... +.. literalinclude:: fdlf/SIZE + :language: fortran + :lines: 10-21 For this tutorial we have set our polynomial order to be :math:`N=7` which is defined in the ``SIZE`` file as ``lx1=8`` which indicates that there are 8 points in each spatial dimension of every element. The number of dimensions is specified using ``ldim`` and the number of global elements used is specified using ``lelg``. @@ -314,6 +244,13 @@ For this tutorial we have set our polynomial order to be :math:`N=7` which is de Compilation ........................ +As a check the following files should be listed in your case directory: + * :download:`fdlf.usr ` + * :download:`fdlf.par ` + * :download:`fdlf.re2 ` + * :download:`fdlf.ma2 ` + * :download:`SIZE ` + With the ``fdlf.usr`` and ``SIZE`` files created, we are now ready to compile: .. code-block:: none @@ -419,25 +356,19 @@ These changes to the fluid domain can be done in ``usrdat2`` in the ``fdlf.usr`` The first file that needs to be modified is the ``fdlf.par`` file. The user parameters can be removed from the par file as they won't be needed anymore to run the case nondimensionally and instead they will be adjusted for in the ``fdlf.usr`` file later. +Before editing the ``fdlf.par`` file the Reynold's number and Peclet number need to be calculated in order to define the case nondimensionally. +The Reynold's number is calculated as shown :ref:`here _https://nek5000.github.io/NekDoc/theory.html#non-dimensional-navier-stokes` and for this case can be calculated as follows: -.. code-block:: ini - - # - # nek parameter file - # - [GENERAL] - dt = 2.0e-3 - numsteps = 10000 - writeInterval = 2000 +.. math:: + Re = \frac{\rho u_m D_h}{\mu} = \frac{(1.2 \ kg/m^3)(0.5 \ m/s)(0.02 \ m)}{0.00002 \ kg/m-s} = 600 - [VELOCITY] - density = 1 - viscosity = -600 +The Peclet number is calculated as shown :ref:`here _https://nek5000.github.io/NekDoc/theory.html#non-dimensional-energy-passive-scalar-equation`: - [TEMPERATURE] - rhoCp = 1 - conductivity = -480 +.. math:: + Pe = \frac{\rho u_m D_h c_p}{k} = {(1.2 \ kg/m^3)(0.5 \ m/s)(0.02 \ m)(1000 \ J/kg-K)}{0.025 \ W/m-K} = 480 +.. literalinclude:: fdlf/NDfdlf.par + :language: ini Both ``rho`` and ``rhoCp`` become 1 and ``viscosity`` is set to -600 to define the Reynolds number while ``conductivity`` is set to -480 to define the Peclet number. The time step size was also increased because the case took longer to develop and the CFL was low enough to support the increase in step size. @@ -449,68 +380,24 @@ The inlet conditions are nondimensionalized as shown and the resulting values ar u_m^* = u_m/u_m = 1 T_{in}^* = \frac{T_{in}-T_{in}}{\Delta T_{ref}} = 0 -.. code-block:: fortran - - subroutine useric(ix,iy,iz,eg) - c implicit none - include 'SIZE' - include 'TOTAL' - include 'NEKUSE' - - integer ix,iy,ix,eg - - ux = 1.0 - uy = 0.0 - uz = 0.0 - temp = 0.0 - - return - end +.. literalinclude:: fdlf/NDfdlf.usr + :language: fortran + :lines: 96-112 + :emphasis-lines: 106 In ``userbc`` the heat flux is simply set equal to 1 and the equations for velocity and temperature are replaced with their respective nondimensional forms. -.. code-block:: fortran +.. literalinclude:: fdlf/NDfdlf.usr + :language: fortran + :lines: 77-94 + :emphasis-lines: 87,90,91 - subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions - c implicit none - include 'SIZE' - include 'TOTAL' - include 'NEKUSE' - - integer ix,iy,iz,iside,eg - - qpp = 1 !heat flux - con = cpfld(2,1) !thermal conductivity - - ux = 3./2.*(1-16*y**2) - uy = 0.0 - uz = 0.0 - temp = (1/(4*con))*(12.*y**2-32.*y**4-39./280.) - flux = qpp - - return - end The last change needed to be made is in ``usrdat2`` to nondimensionalize the domain. -.. code-block:: fortran - - subroutine usrdat2() ! This routine to modify mesh coordinates - - c implicit none - - include 'SIZE' - include 'TOTAL' - - Dh = 0.02 !m - - n = lx1*ly1*lz1*nelv - - call cmult(xm1,1/Dh,n) - call cmult(ym1,1/Dh,n) - - return - end +.. literalinclude:: fdlf/NDfdlf.usr + :language: fortran + :lines: 155-170 This edit multiplies all of the :math:`x` and :math:`y` coordinates in the domain by :math:`1/Dh`. The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. diff --git a/source/tutorials/fdlf/NDfdlf.par b/source/tutorials/fdlf/NDfdlf.par new file mode 100644 index 0000000..73e8889 --- /dev/null +++ b/source/tutorials/fdlf/NDfdlf.par @@ -0,0 +1,15 @@ +# +# nek parameter file +# +[GENERAL] +dt = 2.0e-3 +numsteps = 10000 +writeInterval = 2000 + +[VELOCITY] +density = 1 #kg/m3 +viscosity = -600 #kg/m-s + +[TEMPERATURE] +rhoCp = 1 #J/m3-K +conductivity = -480 #W/m-K diff --git a/source/tutorials/fdlf/NDfdlf.usr b/source/tutorials/fdlf/NDfdlf.usr new file mode 100644 index 0000000..a3b6e24 --- /dev/null +++ b/source/tutorials/fdlf/NDfdlf.usr @@ -0,0 +1,348 @@ +c----------------------------------------------------------------------- +c nek5000 user-file template +c +c user specified routines: +c - uservp : variable properties +c - userf : local acceleration term for fluid +c - userq : local source term for scalars +c - userbc : boundary conditions +c - useric : initial conditions +c - userchk : general purpose routine for checking errors etc. +c - userqtl : thermal divergence for lowMach number flows +c - usrdat : modify element vertices +c - usrdat2 : modify mesh coordinates +c - usrdat3 : general purpose routine for initialization +c +c----------------------------------------------------------------------- + subroutine uservp(ix,iy,iz,eg) ! set variable properties + +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer e +c e = gllel(eg) + + udiff = 0.0 + utrans = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userf(ix,iy,iz,eg) ! set acceleration term +c +c Note: this is an acceleration term, NOT a force! +c Thus, ffx will subsequently be multiplied by rho(x,t). +c +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer e +c e = gllel(eg) + + ffx = 0.0 + ffy = 0.0 + ffz = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userq(ix,iy,iz,eg) ! set source term + +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer e +c e = gllel(eg) + + qvol = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions +c implicit none + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer ix,iy,iz,iside,eg + + H = uparam(1) !channel height + um = uparam(2) !mean velocity + qpp = 1 !heat flux + Tin = uparam(4) !mean inlet temperature + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) + + ux = 3./2.*(1-16*y**2) + uy = 0.0 + uz = 0.0 + temp = (1/(4*cpfld(2,1)))*(12.*y**2-32.*y**4-39./280.) + flux = 1 + + return + end +c----------------------------------------------------------------------- + subroutine useric(ix,iy,iz,ieg) ! set up initial conditions + +c implicit none + + integer ix,iy,iz,ieg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + ux = 1 + uy = 0.0 + uz = 0.0 + temp = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userchk() + + implicit none + + include 'SIZE' + include 'TOTAL' + + real xmax,xmin,ymax,ymin,zmax,zmin + real ptA(3),ptB(3) + + if(istep.eq.nsteps) then + call domain_size(xmin,xmax,ymin,ymax,zmin,zmax) + ptA(1) = xmin + 0.5*(xmax-xmin) + ptA(2) = ymax + ptA(3) = 0.5*(zmin+zmax) + ptB(1) = ptA(1) + ptB(2) = ymin + ptB(3) = ptA(3) + call lineplot(ptA,ptB,250) + endif + + return + end +c----------------------------------------------------------------------- + subroutine userqtl ! Set thermal divergence + + call userqtl_scig + + return + end +c----------------------------------------------------------------------- + subroutine usrdat() ! This routine to modify element vertices + +c implicit none + + include 'SIZE' + include 'TOTAL' + + return + end +c----------------------------------------------------------------------- + subroutine usrdat2() ! This routine to modify mesh coordinates + +c implicit none + + include 'SIZE' + include 'TOTAL' + + Dh = 0.02 !m + + n = lx1*ly1*lz1*nelv + + call cmult(xm1,1/Dh,n) + call cmult(ym1,1/Dh,n) + + return + end +c----------------------------------------------------------------------- + subroutine usrdat3() + +c implicit none + + include 'SIZE' + include 'TOTAL' + + return + end +c----------------------------------------------------------------------- + subroutine lineplot(pt1,pt2,lpts) + implicit none + include 'SIZE' + include 'TOTAL' + + real pt1(ldim),pt2(ldim) + integer npts,lpts,iplot,ls + + character*141 fname + character*10 ftail + character*14 afmt + character*10 rfmt + integer intp_h,i,j,nt,nfld + save intp_h + logical ifset,ifdo + real dx,pts(lhis,3) + real fwrk(lx1*ly1*lz1*lelt,ldim+1+ldimt) + real fpts(lhis*(ldim+1+ldimt)) + real uout(lhis),vout(lhis),wout(lhis) + real prout(lhis),tout(lhis,ldimt) + character*4 outname(ldim+1+ldimt) + + real rwrk(lhis,ldim+1) + integer iwrk(lhis,3) + save rwrk,iwrk + + save ifdo,ifset + data ifdo /.true./ + data ifset /.true./ + + save iplot + data iplot /1/ + + if(.not.ifdo) return + + nt=lx1*ly1*lz1*nelt + + npts=max(lpts,2) + if(npts.gt.lhis) then + if(nio.eq.0) write(*,*) + & "Error in lineplot, recompile with lhis in SIZE >= ",npts + ifdo=.false. + return + endif + + call rzero(pts,npts*ndim) + do j=1,ndim + pts(1,j)=pt1(j) + dx=(pt2(j)-pt1(j))/(real(npts-1)) + do i=2,npts + pts(i,j)=pts(i-1,j)+dx + enddo + enddo + + if(ifset)then + ifset=.false. + call interp_setup(intp_h,0.0,0,nelt) + endif + + nfld=0 + if(ifvo) then + write(outname(1),'(a4)')"VELX" + write(outname(2),'(a4)')"VELY" + call copy(fwrk(1,1),vx,nt) + call copy(fwrk(1,2),vy,nt) + nfld=2 + endif + if(if3d.and.ifvo)then + nfld=nfld+1 + write(outname(nfld),'(a4)')"VELZ" + call copy(fwrk(1,nfld),vz,nt) + endif + if(ifpo) then + nfld=nfld+1 + write(outname(nfld),'(a4)')"PRES" + call copy(fwrk(1,nfld),pr,nt) + endif + if(ifheat) then + if(ifto) then + nfld=nfld+1 + write(outname(nfld),'(a4)')"TEMP" + call copy(fwrk(1,nfld),t,nt) + endif + do i=1,ldimt-1 + if(ifpsco(i)) then + nfld=nfld+1 + write(outname(nfld),'(a2,i2)')"PS",i + call copy(fwrk(1,nfld),t(1,1,1,1,i+1),nt) + endif + enddo + endif + + if(nfld.gt.0) then + + if(nid.ne.0) npts=0 + + call blank(fname,141) + call blank(ftail,9) + if(iplot.lt.10) then + write(ftail,'(a,i1,a)') ".0000",iplot,".dat" + elseif(iplot.lt.100) then + write(ftail,'(a,i2,a)') ".000",iplot,".dat" + elseif(iplot.lt.1000) then + write(ftail,'(a,i3,a)') ".00",iplot,".dat" + elseif(iplot.lt.10000) then + write(ftail,'(a,i4,a)') ".0",iplot,".dat" + else + write(ftail,'(a,i5,a)') ".",iplot,".dat" + endif + fname=trim(session)//ftail + + if(nio.eq.0) then + write(*,*)' Writing line plot data to file ',fname + if(if3d)then + write(*,'(7x,3es15.6)')pt1(1),pt1(2),pt1(ldim) + write(*,'(7x,3es15.6)')pt2(1),pt2(2),pt2(ldim) + else + write(*,'(7x,2es15.6)')pt1(1),pt1(2) + write(*,'(7x,2es15.6)')pt2(1),pt2(2) + endif + write(*,*) + endif + + call interp_nfld(fpts,fwrk,nfld,pts(1,1),pts(1,2),pts(1,3),npts + & ,iwrk,rwrk,lhis,.true.,intp_h) + + call blank(afmt,14) + call blank(rfmt,10) + if(if3d) then + write(afmt,'(a1,i2,a11)')"(",nfld+3,"a16,es16.8)" + write(rfmt,'(a1,i2,a7)')"(",nfld+3,"es16.8)" + else + write(afmt,'(a1,i2,a11)')"(",nfld+2,"a16,es16.8)" + write(rfmt,'(a1,i2,a7)')"(",nfld+2,"es16.8)" + endif + + if(nio.eq.0) then + open(unit=10,file=fname,status='unknown',form='formatted') + if(if3d) then + write(10,afmt)"X","Y","Z",(outname(i),i=1,nfld),time + else + write(10,afmt)"X","Y",(outname(i),i=1,nfld),time + endif + do i=1,npts + if(if3d) then + write(10,rfmt)pts(i,1),pts(i,2),pts(i,3) + & ,(fpts(i+j),j=0,(npts*nfld-1),npts) + else + write(10,rfmt)pts(i,1),pts(i,2) + & ,(fpts(i+j),j=0,(npts*nfld-1),npts) + endif + enddo + endif + + close(10) + + iplot=iplot+1 + endif + + return + end +c----------------------------------------------------------------------- diff --git a/source/tutorials/fdlf/fdlf.box b/source/tutorials/fdlf/fdlf.box new file mode 100644 index 0000000..5e1b6c9 --- /dev/null +++ b/source/tutorials/fdlf/fdlf.box @@ -0,0 +1,13 @@ +-2 spatial dimension (will create box.re2) +2 number of fields +# +# comments: periodic laminar flow +# +#======================================================== +# +Box fdlf +-50 -5 Nelx Nely +0.0 0.2 1.0 x0 x1 ratio +0.0 0.005 0.7 y0 y1 ratio +v ,O ,SYM,W Velocity BC's: (cbx0, cbx1, cby0, cby1) +t ,O ,I ,f Temperature BC's: (cbx0, cbx1, cby0, cby1) diff --git a/source/tutorials/fdlf/fdlf.ma2 b/source/tutorials/fdlf/fdlf.ma2 new file mode 100644 index 0000000000000000000000000000000000000000..7c43911df33b4adb73bbd65a700e7c81cc07fbc6 GIT binary patch literal 5136 zcmZ|Pb(9u#7Kd?=66ur@hEzhB83b`v1O*Y178G4!SOZbQ0u&7F?iK^FyVf-}#C2C) z8*6njFm}zgyPrqDKlL9u=Q;QN+%so*>rVHDm6cT$LKNERb}OG{roTc^25J9znZyf*!)_xYOPPb=o9*w-09EaPnmP$o=jc4_D?%qi^uwV z9?pt;F!h_+>F)fD?#4VU?jE-+JKUVdx&<8?cZ@qQ4`8R)Cf$G*veWhA`piY_bT_8% 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conditions +c - userchk : general purpose routine for checking errors etc. +c - userqtl : thermal divergence for lowMach number flows +c - usrdat : modify element vertices +c - usrdat2 : modify mesh coordinates +c - usrdat3 : general purpose routine for initialization +c +c----------------------------------------------------------------------- + subroutine uservp(ix,iy,iz,eg) ! set variable properties + +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer e +c e = gllel(eg) + + udiff = 0.0 + utrans = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userf(ix,iy,iz,eg) ! set acceleration term +c +c Note: this is an acceleration term, NOT a force! +c Thus, ffx will subsequently be multiplied by rho(x,t). +c +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer e +c e = gllel(eg) + + ffx = 0.0 + ffy = 0.0 + ffz = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userq(ix,iy,iz,eg) ! set source term + +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer e +c e = gllel(eg) + + qvol = 0.0 + + return + end +c----------------------------------------------------------------------- + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions +c +c NOTE ::: This subroutine MAY NOT be called by every process +c +c implicit none + + integer ix,iy,iz,iside,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + +c if (cbc(iside,gllel(eg),ifield).eq.'v01') + + um = uparam(2) + Tin = uparam(4) + + ux = um + uy = 0.0 + uz = 0.0 + temp = Tin + + return + end +c----------------------------------------------------------------------- + subroutine useric(ix,iy,iz,eg) ! set up initial conditions + +c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + H = uparam(1) !channel height + um = uparam(2) !mean velocity + qpp = uparam(3) !heat flux + Tin = uparam(4) !mean inlet temperature + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) + + ux = um*3./2.*(1-4.*(y/H)**2) + uy = 0.0 + uz = 0.0 + temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin + flux = qpp + + return + end +c----------------------------------------------------------------------- + subroutine userchk() + +c implicit none + + include 'SIZE' + include 'TOTAL' + + return + end +c----------------------------------------------------------------------- + subroutine userqtl ! Set thermal divergence + + call userqtl_scig + + return + end +c----------------------------------------------------------------------- + subroutine usrdat() ! This routine to modify element vertices + +c implicit none + + include 'SIZE' + include 'TOTAL' + + return + end +c----------------------------------------------------------------------- + subroutine usrdat2() ! This routine to modify mesh coordinates + +c implicit none + + include 'SIZE' + include 'TOTAL' + + return + end +c----------------------------------------------------------------------- + subroutine usrdat3() + +c implicit none + + include 'SIZE' + include 'TOTAL' + + return + end From 88da97d9e9582df7c130d054df2e26d624d8cc8c Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 20 Jul 2022 10:12:19 -0500 Subject: [PATCH 15/22] resizing figures --- source/tutorials/fdlf.rst | 12 +++++++++--- 1 file changed, 9 insertions(+), 3 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index a2194c4..35a92ae 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -322,6 +322,7 @@ Plots of the velocity and temperature varying along the y-axis as evaluated by N .. figure:: fdlf/velocity_lineplot.png :align: center :figclass: align-center + :scale: 50 % Nek5000 velocity solutions plotted against analytical solutions. @@ -330,6 +331,7 @@ Plots of the velocity and temperature varying along the y-axis as evaluated by N .. figure:: fdlf/temperature_lineplot.png :align: center :figclass: align-center + :scale: 50 % Nek5000 temperature solutions plotted against analytical solutions. @@ -367,12 +369,12 @@ The Peclet number is calculated as shown :ref:`here _https://nek5000.github.io/N .. math:: Pe = \frac{\rho u_m D_h c_p}{k} = {(1.2 \ kg/m^3)(0.5 \ m/s)(0.02 \ m)(1000 \ J/kg-K)}{0.025 \ W/m-K} = 480 -.. literalinclude:: fdlf/NDfdlf.par - :language: ini - Both ``rho`` and ``rhoCp`` become 1 and ``viscosity`` is set to -600 to define the Reynolds number while ``conductivity`` is set to -480 to define the Peclet number. The time step size was also increased because the case took longer to develop and the CFL was low enough to support the increase in step size. +.. literalinclude:: fdlf/NDfdlf.par + :language: ini + The last file that needs to be modified to nondimensionalize the case is the ``fdlf.usr`` file. The inlet conditions are nondimensionalized as shown and the resulting values are defined in ``useric``. @@ -411,6 +413,7 @@ It's important to note that the nondimensional results need to be scaled for an .. figure:: fdlf/velocity_lineplot_nondim_unscaled.png :align: center :figclass: align-center + :scale: 50 % Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions without scaling. @@ -419,6 +422,7 @@ It's important to note that the nondimensional results need to be scaled for an .. figure:: fdlf/temperature_lineplot_nondim_unscaled.png :align: center :figclass: align-center + :scale: 50 % Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions without scaling. @@ -438,6 +442,7 @@ The scaled nondimensional results can be seen below in :numref:`fig:velocity_lin .. figure:: fdlf/velocity_lineplot_nondim.png :align: center :figclass: align-center + :scale: 50 % Nondimensional and dimensional Nek5000 velocity solutions plotted against analytical solutions. @@ -446,6 +451,7 @@ The scaled nondimensional results can be seen below in :numref:`fig:velocity_lin .. figure:: fdlf/temperature_lineplot_nondim.png :align: center :figclass: align-center + :scale: 50 % Nondimensional and dimensional Nek5000 temperature solutions plotted against analytical solutions. From eebe548a305b46bd414d3f54d84c4107ec09f98d Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 20 Jul 2022 10:24:48 -0500 Subject: [PATCH 16/22] removing lines that are not needed --- source/tutorials/fdlf/NDfdlf.usr | 7 +------ 1 file changed, 1 insertion(+), 6 deletions(-) diff --git a/source/tutorials/fdlf/NDfdlf.usr b/source/tutorials/fdlf/NDfdlf.usr index a3b6e24..c3f757f 100644 --- a/source/tutorials/fdlf/NDfdlf.usr +++ b/source/tutorials/fdlf/NDfdlf.usr @@ -82,17 +82,12 @@ c implicit none integer ix,iy,iz,iside,eg - H = uparam(1) !channel height - um = uparam(2) !mean velocity - qpp = 1 !heat flux - Tin = uparam(4) !mean inlet temperature con = cpfld(2,1) !thermal conductivity - term = qpp*H/(2*con) ux = 3./2.*(1-16*y**2) uy = 0.0 uz = 0.0 - temp = (1/(4*cpfld(2,1)))*(12.*y**2-32.*y**4-39./280.) + temp = (1/(4*con))*(12.*y**2-32.*y**4-39./280.) flux = 1 return From eff522b7e30f9ca69c26ff0b35a8a5859ed2ff49 Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 20 Jul 2022 10:54:56 -0500 Subject: [PATCH 17/22] removing lineplot lines --- source/tutorials/fdlf.rst | 2 +- source/tutorials/fdlf/NDfdlf.usr | 179 +------------------------------ 2 files changed, 3 insertions(+), 178 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 35a92ae..747c13a 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -399,7 +399,7 @@ The last change needed to be made is in ``usrdat2`` to nondimensionalize the dom .. literalinclude:: fdlf/NDfdlf.usr :language: fortran - :lines: 155-170 + :lines: 142-157 This edit multiplies all of the :math:`x` and :math:`y` coordinates in the domain by :math:`1/Dh`. The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. diff --git a/source/tutorials/fdlf/NDfdlf.usr b/source/tutorials/fdlf/NDfdlf.usr index c3f757f..e7d9bf7 100644 --- a/source/tutorials/fdlf/NDfdlf.usr +++ b/source/tutorials/fdlf/NDfdlf.usr @@ -87,6 +87,7 @@ c implicit none ux = 3./2.*(1-16*y**2) uy = 0.0 uz = 0.0 + temp = (1/(4*con))*(12.*y**2-32.*y**4-39./280.) flux = 1 @@ -113,25 +114,11 @@ c implicit none c----------------------------------------------------------------------- subroutine userchk() - implicit none +c implicit none include 'SIZE' include 'TOTAL' - real xmax,xmin,ymax,ymin,zmax,zmin - real ptA(3),ptB(3) - - if(istep.eq.nsteps) then - call domain_size(xmin,xmax,ymin,ymax,zmin,zmax) - ptA(1) = xmin + 0.5*(xmax-xmin) - ptA(2) = ymax - ptA(3) = 0.5*(zmin+zmax) - ptB(1) = ptA(1) - ptB(2) = ymin - ptB(3) = ptA(3) - call lineplot(ptA,ptB,250) - endif - return end c----------------------------------------------------------------------- @@ -179,165 +166,3 @@ c implicit none return end c----------------------------------------------------------------------- - subroutine lineplot(pt1,pt2,lpts) - implicit none - include 'SIZE' - include 'TOTAL' - - real pt1(ldim),pt2(ldim) - integer npts,lpts,iplot,ls - - character*141 fname - character*10 ftail - character*14 afmt - character*10 rfmt - integer intp_h,i,j,nt,nfld - save intp_h - logical ifset,ifdo - real dx,pts(lhis,3) - real fwrk(lx1*ly1*lz1*lelt,ldim+1+ldimt) - real fpts(lhis*(ldim+1+ldimt)) - real uout(lhis),vout(lhis),wout(lhis) - real prout(lhis),tout(lhis,ldimt) - character*4 outname(ldim+1+ldimt) - - real rwrk(lhis,ldim+1) - integer iwrk(lhis,3) - save rwrk,iwrk - - save ifdo,ifset - data ifdo /.true./ - data ifset /.true./ - - save iplot - data iplot /1/ - - if(.not.ifdo) return - - nt=lx1*ly1*lz1*nelt - - npts=max(lpts,2) - if(npts.gt.lhis) then - if(nio.eq.0) write(*,*) - & "Error in lineplot, recompile with lhis in SIZE >= ",npts - ifdo=.false. - return - endif - - call rzero(pts,npts*ndim) - do j=1,ndim - pts(1,j)=pt1(j) - dx=(pt2(j)-pt1(j))/(real(npts-1)) - do i=2,npts - pts(i,j)=pts(i-1,j)+dx - enddo - enddo - - if(ifset)then - ifset=.false. - call interp_setup(intp_h,0.0,0,nelt) - endif - - nfld=0 - if(ifvo) then - write(outname(1),'(a4)')"VELX" - write(outname(2),'(a4)')"VELY" - call copy(fwrk(1,1),vx,nt) - call copy(fwrk(1,2),vy,nt) - nfld=2 - endif - if(if3d.and.ifvo)then - nfld=nfld+1 - write(outname(nfld),'(a4)')"VELZ" - call copy(fwrk(1,nfld),vz,nt) - endif - if(ifpo) then - nfld=nfld+1 - write(outname(nfld),'(a4)')"PRES" - call copy(fwrk(1,nfld),pr,nt) - endif - if(ifheat) then - if(ifto) then - nfld=nfld+1 - write(outname(nfld),'(a4)')"TEMP" - call copy(fwrk(1,nfld),t,nt) - endif - do i=1,ldimt-1 - if(ifpsco(i)) then - nfld=nfld+1 - write(outname(nfld),'(a2,i2)')"PS",i - call copy(fwrk(1,nfld),t(1,1,1,1,i+1),nt) - endif - enddo - endif - - if(nfld.gt.0) then - - if(nid.ne.0) npts=0 - - call blank(fname,141) - call blank(ftail,9) - if(iplot.lt.10) then - write(ftail,'(a,i1,a)') ".0000",iplot,".dat" - elseif(iplot.lt.100) then - write(ftail,'(a,i2,a)') ".000",iplot,".dat" - elseif(iplot.lt.1000) then - write(ftail,'(a,i3,a)') ".00",iplot,".dat" - elseif(iplot.lt.10000) then - write(ftail,'(a,i4,a)') ".0",iplot,".dat" - else - write(ftail,'(a,i5,a)') ".",iplot,".dat" - endif - fname=trim(session)//ftail - - if(nio.eq.0) then - write(*,*)' Writing line plot data to file ',fname - if(if3d)then - write(*,'(7x,3es15.6)')pt1(1),pt1(2),pt1(ldim) - write(*,'(7x,3es15.6)')pt2(1),pt2(2),pt2(ldim) - else - write(*,'(7x,2es15.6)')pt1(1),pt1(2) - write(*,'(7x,2es15.6)')pt2(1),pt2(2) - endif - write(*,*) - endif - - call interp_nfld(fpts,fwrk,nfld,pts(1,1),pts(1,2),pts(1,3),npts - & ,iwrk,rwrk,lhis,.true.,intp_h) - - call blank(afmt,14) - call blank(rfmt,10) - if(if3d) then - write(afmt,'(a1,i2,a11)')"(",nfld+3,"a16,es16.8)" - write(rfmt,'(a1,i2,a7)')"(",nfld+3,"es16.8)" - else - write(afmt,'(a1,i2,a11)')"(",nfld+2,"a16,es16.8)" - write(rfmt,'(a1,i2,a7)')"(",nfld+2,"es16.8)" - endif - - if(nio.eq.0) then - open(unit=10,file=fname,status='unknown',form='formatted') - if(if3d) then - write(10,afmt)"X","Y","Z",(outname(i),i=1,nfld),time - else - write(10,afmt)"X","Y",(outname(i),i=1,nfld),time - endif - do i=1,npts - if(if3d) then - write(10,rfmt)pts(i,1),pts(i,2),pts(i,3) - & ,(fpts(i+j),j=0,(npts*nfld-1),npts) - else - write(10,rfmt)pts(i,1),pts(i,2) - & ,(fpts(i+j),j=0,(npts*nfld-1),npts) - endif - enddo - endif - - close(10) - - iplot=iplot+1 - endif - - return - end -c----------------------------------------------------------------------- From b2d4ad1351582d638e8502d5cabae69d18cbd20b Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 20 Jul 2022 13:42:04 -0500 Subject: [PATCH 18/22] nondimensionalizing time step --- source/tutorials/fdlf.rst | 7 ++++++- source/tutorials/fdlf/NDfdlf.par | 2 +- 2 files changed, 7 insertions(+), 2 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 747c13a..f0371eb 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -358,7 +358,12 @@ These changes to the fluid domain can be done in ``usrdat2`` in the ``fdlf.usr`` The first file that needs to be modified is the ``fdlf.par`` file. The user parameters can be removed from the par file as they won't be needed anymore to run the case nondimensionally and instead they will be adjusted for in the ``fdlf.usr`` file later. -Before editing the ``fdlf.par`` file the Reynold's number and Peclet number need to be calculated in order to define the case nondimensionally. +The time step ``dt`` can be nondimensionalized as follows: + +.. math:: + dt^* = \frac{dt*u_m}{D_h} = \frac{(0.0001 \ s)(0.5 \ m/s)}{0.02 \ m} = 2.5*10^{-3} + +Before editing the ``fdlf.par`` file further the Reynold's number and Peclet number need to be calculated in order to define the case nondimensionally. The Reynold's number is calculated as shown :ref:`here _https://nek5000.github.io/NekDoc/theory.html#non-dimensional-navier-stokes` and for this case can be calculated as follows: .. math:: diff --git a/source/tutorials/fdlf/NDfdlf.par b/source/tutorials/fdlf/NDfdlf.par index 73e8889..52d2a45 100644 --- a/source/tutorials/fdlf/NDfdlf.par +++ b/source/tutorials/fdlf/NDfdlf.par @@ -2,7 +2,7 @@ # nek parameter file # [GENERAL] -dt = 2.0e-3 +dt = 2.5e-3 numsteps = 10000 writeInterval = 2000 From 44fed64c13a98a183aad58199138a23449627602 Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Tue, 26 Jul 2022 10:24:24 -0500 Subject: [PATCH 19/22] temporarily adding code blocks back for testing --- source/tutorials/fdlf.rst | 183 ++++++++++++++++++++++++++++++++++++-- 1 file changed, 175 insertions(+), 8 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index f0371eb..0eb85bd 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -123,9 +123,27 @@ Control parameters The control parameters for any case are given in the ``.par`` file. For this case, create a new file called ``fdlf.par`` with the following: -.. literalinclude:: fdlf/fdlf.par +.. .. literalinclude:: fdlf/fdlf.par :language: ini +.. code-block:: ini + # + # nek parameter file + # + [GENERAL] + dt = 2.5e-3 + numsteps = 10000 + writeInterval = 2000 + + [VELOCITY] + density = 1 #kg/m3 + viscosity = -600 #kg/m-s + + [TEMPERATURE] + rhoCp = 1 #J/m3-K + conductivity = -480 #W/m-K + + For this case the properties evaluated are for air at ~20 C. Note that ``rhoCp`` is the product of density and specific heat. The ``userParam`` list represents an easy way of passing data to *Nek5000* that can later be used throughout the ``.usr`` file. @@ -154,18 +172,73 @@ Initial & boundary conditions The next step is to specify the intial conditions. This can be done in the subroutine ``useric`` as follows: -.. literalinclude:: fdlf/fdlf.usr +.. .. literalinclude:: fdlf/fdlf.usr :language: fortran :line: 102-126 :emphasis-lines: 112-117,119,122,123 +.. code-block:: fortran + subroutine useric(ix,iy,iz,eg) ! set up initial conditions + + c implicit none + + integer ix,iy,iz,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + H = uparam(1) !channel height + um = uparam(2) !mean velocity + qpp = uparam(3) !heat flux + Tin = uparam(4) !mean inlet temperature + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) + + ux = um*3./2.*(1-4.*(y/H)**2) + uy = 0.0 + uz = 0.0 + temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin + flux = qpp + + return + end + + The inlet temperature and mean velocity are called from the list of user defined parameters in the ``.par`` file. The boundary conditions can be setup in subroutine ``userbc`` as follows: -.. literalinclude:: fdlf/fdlf.usr +.. .. literalinclude:: fdlf/fdlf.usr :language: fortran :lines: 77-100 :emphasis-lines: 91,92,94,97 +.. code-block:: fortran + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions + c + c NOTE ::: This subroutine MAY NOT be called by every process + c + c implicit none + + integer ix,iy,iz,iside,eg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + c if (cbc(iside,gllel(eg),ifield).eq.'v01') + + um = uparam(2) + Tin = uparam(4) + + ux = um + uy = 0.0 + uz = 0.0 + temp = Tin + + return + end + + The channel height, mean velocity, heat flux, and mean inlet temperature are all called from the list of user defined parameters in the ``.par`` file as well. .. ........................ @@ -234,10 +307,24 @@ It is recommended to copy a template of the ``SIZE`` file from the core director Then, adjust the following parameters in the BASIC section -.. literalinclude:: fdlf/SIZE +.. .. literalinclude:: fdlf/SIZE :language: fortran :lines: 10-21 +.. code-block:: fortran + + ! BASIC + parameter (ldim=2) ! domain dimension (2 or 3) + parameter (lx1=8) ! GLL points per element along each direction + parameter (lxd=12) ! GL points for over-integration (dealiasing) + parameter (lx2=lx1-0) ! GLL points for pressure (lx1 or lx1-2) + + parameter (lelg=250) ! max number of global elements + parameter (lpmin=1) ! min number of MPI ranks + parameter (lelt=lelg/lpmin + 3) ! max number of local elements per MPI rank + parameter (ldimt=1) ! max auxiliary fields (temperature + scalars) + + For this tutorial we have set our polynomial order to be :math:`N=7` which is defined in the ``SIZE`` file as ``lx1=8`` which indicates that there are 8 points in each spatial dimension of every element. The number of dimensions is specified using ``ldim`` and the number of global elements used is specified using ``lelg``. ........................ @@ -377,9 +464,27 @@ The Peclet number is calculated as shown :ref:`here _https://nek5000.github.io/N Both ``rho`` and ``rhoCp`` become 1 and ``viscosity`` is set to -600 to define the Reynolds number while ``conductivity`` is set to -480 to define the Peclet number. The time step size was also increased because the case took longer to develop and the CFL was low enough to support the increase in step size. -.. literalinclude:: fdlf/NDfdlf.par +.. .. literalinclude:: fdlf/NDfdlf.par :language: ini +.. code-block:: ini + # + # nek parameter file + # + [GENERAL] + dt = 2.5e-3 + numsteps = 10000 + writeInterval = 2000 + + [VELOCITY] + density = 1 #kg/m3 + viscosity = -600 #kg/m-s + + [TEMPERATURE] + rhoCp = 1 #J/m3-K + conductivity = -480 #W/m-K + + The last file that needs to be modified to nondimensionalize the case is the ``fdlf.usr`` file. The inlet conditions are nondimensionalized as shown and the resulting values are defined in ``useric``. @@ -387,25 +492,87 @@ The inlet conditions are nondimensionalized as shown and the resulting values ar u_m^* = u_m/u_m = 1 T_{in}^* = \frac{T_{in}-T_{in}}{\Delta T_{ref}} = 0 -.. literalinclude:: fdlf/NDfdlf.usr +.. .. literalinclude:: fdlf/NDfdlf.usr :language: fortran :lines: 96-112 :emphasis-lines: 106 +.. code-block:: fortran + + subroutine useric(ix,iy,iz,ieg) ! set up initial conditions + + c implicit none + + integer ix,iy,iz,ieg + + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + ux = 1 + uy = 0.0 + uz = 0.0 + temp = 0.0 + + return + end + + In ``userbc`` the heat flux is simply set equal to 1 and the equations for velocity and temperature are replaced with their respective nondimensional forms. -.. literalinclude:: fdlf/NDfdlf.usr +.. .. literalinclude:: fdlf/NDfdlf.usr :language: fortran :lines: 77-94 :emphasis-lines: 87,90,91 +.. code-block:: fortran + + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions + c implicit none + include 'SIZE' + include 'TOTAL' + include 'NEKUSE' + + integer ix,iy,iz,iside,eg + + con = cpfld(2,1) !thermal conductivity + + ux = 3./2.*(1-16*y**2) + uy = 0.0 + uz = 0.0 + + temp = (1/(4*con))*(12.*y**2-32.*y**4-39./280.) + flux = 1 + + return + end + The last change needed to be made is in ``usrdat2`` to nondimensionalize the domain. -.. literalinclude:: fdlf/NDfdlf.usr +.. .. literalinclude:: fdlf/NDfdlf.usr :language: fortran :lines: 142-157 +.. code-block:: fortran + subroutine usrdat2() ! This routine to modify mesh coordinates + + c implicit none + + include 'SIZE' + include 'TOTAL' + + Dh = 0.02 !m + + n = lx1*ly1*lz1*nelv + + call cmult(xm1,1/Dh,n) + call cmult(ym1,1/Dh,n) + + return + end + + This edit multiplies all of the :math:`x` and :math:`y` coordinates in the domain by :math:`1/Dh`. The rest of the files used for the case remain the same and the process of compiling the case is also unchanged. The results from running the case can be seen below. From 050a7cd17458c0e48c7d5bb05fa6b1905c92db92 Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Tue, 26 Jul 2022 10:27:03 -0500 Subject: [PATCH 20/22] temporarily adding code blocks back for testing --- source/tutorials/fdlf.rst | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 0eb85bd..649419c 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -127,6 +127,7 @@ The control parameters for any case are given in the ``.par`` file. For this cas :language: ini .. code-block:: ini + # # nek parameter file # @@ -178,6 +179,7 @@ The next step is to specify the intial conditions. This can be done in the subro :emphasis-lines: 112-117,119,122,123 .. code-block:: fortran + subroutine useric(ix,iy,iz,eg) ! set up initial conditions c implicit none @@ -213,6 +215,7 @@ The inlet temperature and mean velocity are called from the list of user defined :emphasis-lines: 91,92,94,97 .. code-block:: fortran + subroutine userbc(ix,iy,iz,iside,eg) ! set up boundary conditions c c NOTE ::: This subroutine MAY NOT be called by every process @@ -468,6 +471,7 @@ The time step size was also increased because the case took longer to develop an :language: ini .. code-block:: ini + # # nek parameter file # @@ -555,6 +559,7 @@ The last change needed to be made is in ``usrdat2`` to nondimensionalize the dom :lines: 142-157 .. code-block:: fortran + subroutine usrdat2() ! This routine to modify mesh coordinates c implicit none From 7869af1190b591475afd1a8fcd2b456007814cc2 Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 27 Jul 2022 13:01:32 -0500 Subject: [PATCH 21/22] fixing swapped useric and userbc --- source/tutorials/fdlf.rst | 56 ++++++++++++++++++---------------- source/tutorials/fdlf/fdlf.usr | 26 ++++++++-------- 2 files changed, 42 insertions(+), 40 deletions(-) diff --git a/source/tutorials/fdlf.rst b/source/tutorials/fdlf.rst index 649419c..89809bf 100644 --- a/source/tutorials/fdlf.rst +++ b/source/tutorials/fdlf.rst @@ -128,22 +128,26 @@ The control parameters for any case are given in the ``.par`` file. For this cas .. code-block:: ini - # - # nek parameter file - # - [GENERAL] - dt = 2.5e-3 - numsteps = 10000 - writeInterval = 2000 - - [VELOCITY] - density = 1 #kg/m3 - viscosity = -600 #kg/m-s + # + # nek parameter file + # + [GENERAL] + dt = 1.0e-4 + numsteps = 10000 + writeInterval = 2000 + + userParam01 = 0.01 #channel height [m] + userParam02 = 0.5 #mean velocity [m/s] + userParam03 = 300.0 #heat flux [W/m^2] + userParam04 = 10 #inlet temperature [C] - [TEMPERATURE] - rhoCp = 1 #J/m3-K - conductivity = -480 #W/m-K + [VELOCITY] + density = 1.2 #kg/m3 + viscosity = 0.00002 #kg/m-s + [TEMPERATURE] + rhoCp = 1200.0 #J/m3-K + conductivity = 0.025 #W/m-K For this case the properties evaluated are for air at ~20 C. Note that ``rhoCp`` is the product of density and specific heat. @@ -190,18 +194,13 @@ The next step is to specify the intial conditions. This can be done in the subro include 'TOTAL' include 'NEKUSE' - H = uparam(1) !channel height um = uparam(2) !mean velocity - qpp = uparam(3) !heat flux Tin = uparam(4) !mean inlet temperature - con = cpfld(2,1) !thermal conductivity - term = qpp*H/(2*con) - ux = um*3./2.*(1-4.*(y/H)**2) + ux = um uy = 0.0 uz = 0.0 - temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin - flux = qpp + temp = Tin return end @@ -228,15 +227,18 @@ The inlet temperature and mean velocity are called from the list of user defined include 'TOTAL' include 'NEKUSE' - c if (cbc(iside,gllel(eg),ifield).eq.'v01') - - um = uparam(2) - Tin = uparam(4) + H = uparam(1) !channel height + um = uparam(2) !mean velocity + qpp = uparam(3) !heat flux + Tin = uparam(4) !mean inlet temperature + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) - ux = um + ux = um*3./2.*(1-4.*(y/H)**2) uy = 0.0 uz = 0.0 - temp = Tin + temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin + flux = qpp return end diff --git a/source/tutorials/fdlf/fdlf.usr b/source/tutorials/fdlf/fdlf.usr index f6e4a0d..15bb493 100644 --- a/source/tutorials/fdlf/fdlf.usr +++ b/source/tutorials/fdlf/fdlf.usr @@ -88,13 +88,18 @@ c implicit none c if (cbc(iside,gllel(eg),ifield).eq.'v01') - um = uparam(2) - Tin = uparam(4) + H = uparam(1) !channel height + um = uparam(2) !mean velocity + qpp = uparam(3) !heat flux + Tin = uparam(4) !mean inlet temperature + con = cpfld(2,1) !thermal conductivity + term = qpp*H/(2*con) - ux = um + ux = um*3./2.*(1-4.*(y/H)**2) uy = 0.0 uz = 0.0 - temp = Tin + temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin + flux = qpp return end @@ -109,18 +114,13 @@ c implicit none include 'TOTAL' include 'NEKUSE' - H = uparam(1) !channel height - um = uparam(2) !mean velocity - qpp = uparam(3) !heat flux - Tin = uparam(4) !mean inlet temperature - con = cpfld(2,1) !thermal conductivity - term = qpp*H/(2*con) + um = uparam(2) + Tin = uparam(4) - ux = um*3./2.*(1-4.*(y/H)**2) + ux = um uy = 0.0 uz = 0.0 - temp = term*(3.*(y/H)**2-2.*(y/H)**4-39./280.)+Tin - flux = qpp + temp = Tin return end From 309c4bb93b77628f6d58ef5a14bdf11b0044ac9f Mon Sep 17 00:00:00 2001 From: Sierra Tutwiler Date: Wed, 27 Jul 2022 13:13:50 -0500 Subject: [PATCH 22/22] adding degree symbol for temperature plots --- .../tutorials/fdlf/temperature_lineplot.png | Bin 123001 -> 121958 bytes .../fdlf/temperature_lineplot_nondim.png | Bin 133998 -> 132975 bytes .../temperature_lineplot_nondim_unscaled.png | Bin 154725 -> 154000 bytes .../fdlf/velocity_lineplot_nondim.png | Bin 137358 -> 137158 bytes 4 files changed, 0 insertions(+), 0 deletions(-) diff --git a/source/tutorials/fdlf/temperature_lineplot.png b/source/tutorials/fdlf/temperature_lineplot.png index d1408cf978f8bf81a689dbcb36601c3b435ddad5..eaa0d1bad0ed4d98a25a0bdc1e82800cea1569e9 100644 GIT binary patch delta 19879 zcmc({2UJx_w>5gqwisI!MU=J;2q*@ElFbT&)AwpjrIMUf=IK+cjgDnUU+ zat?xkWRNKF&9b$-$Gh*n`|kb!JAOugA0X%KUAt=4T64}d>wM2$)|tBO0mF*J%a_t< 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