From 1ada3e35a4cd7fd12dc3cae9b34d9dd12e5a0ec8 Mon Sep 17 00:00:00 2001 From: yslan Date: Mon, 15 Sep 2025 13:57:01 -0500 Subject: [PATCH 1/6] Add doc for h-refine --- source/conf.py | 5 ++- source/problem_setup/features.rst | 69 +++++++++++++++++++++++++++++++ 2 files changed, 72 insertions(+), 2 deletions(-) diff --git a/source/conf.py b/source/conf.py index 23e0cd1..e831ac7 100644 --- a/source/conf.py +++ b/source/conf.py @@ -25,7 +25,7 @@ # If your documentation needs a minimal Sphinx version, state it here. # -# needs_sphinx = '1.0' +needs_sphinx = '1.8' # Add any Sphinx extension module names here, as strings. They can be # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom @@ -178,4 +178,5 @@ epub_exclude_files = ['search.html'] def setup(app): - app.add_stylesheet('css/custom.css') +# app.add_stylesheet('css/custom.css') # older API + app.add_css_file('css/custom.css') diff --git a/source/problem_setup/features.rst b/source/problem_setup/features.rst index e23baf0..51877a1 100644 --- a/source/problem_setup/features.rst +++ b/source/problem_setup/features.rst @@ -66,6 +66,7 @@ Restart Options By default, *Nek5000* will read all available variables from the restart file. Restart options can be added after the filename in the ``.par`` file to control which variables are loaded, to manually set the time, and in the latest github version, to specify an interpolated restart (see :ref:`features_gfldr`). +or apply :math:`h`-refinement (see :ref:`features_hrefine`). To control which variables are read from a restart file, add an additional string composed of the following: .. csv-table:: Variables loaded with restart options @@ -78,6 +79,7 @@ To control which variables are read from a restart file, add an additional strin Temperature,``T`` Passive scalar 'i',``Si`` reset time,``time=0.0`` + h-refinement,``href=2`` :Example: The following directive will load only velocity and passive scalar 2, and set the physical time to 5.0. @@ -167,6 +169,73 @@ The files contain enough information to reconstruct Reynolds stresses considerin \overline{u'u'}=\overline{u^2}-\overline{u}^2 +.. _features_hrefine: + +------------------ +h-Refinement +------------------ + +This is an on-the-fly global mesh refinement that splits the edges of each +element into :math:`N_{cut}` uniform segments, resulting in a mesh with +:math:`N_{cut}^d` times elements where :math:`d` is the dimension. +The refinement is based on high-order tensor-product interpolation that inherits +the original boundary conditions, connectivity, and partition. + +.. Note:: + + Since the partitioning is not re-generated, :math:`h`-refinement can create + an imbalance partition of up to :math:`N_{cut}^d` elements. + +To use this feature, specify the refinement schedule in the .par file, as shown +in the following example with :math:`N_{cut}=2`. +Users can still adjust the mesh inside ``usrdat2`` after the refinement. + +.. code-block:: ini + + [MESH] + hrefine = 2 + +.. csv-table:: Examples of :math:`h`-refine options + :header: "Par Keys","Rounds","Refinement(s)",":math:`E_{new} / E_{old}`" + :widths: 30, 20, 30, 20 + + "``hrefine=2``", 1, ":math:`N_{cut}=2`", ":math:`2^d`" + "``hrefine=2,3``", 2, ":math:`N_{cut}=2` then :math:`3`", ":math:`6^d`" + "``hrefine=3,2``", 2, ":math:`N_{cut}=3` then :math:`2`", ":math:`6^d`" + "``hrefine=4``", 1, ":math:`N_{cut}=4`", ":math:`4^d`" + "``hrefine=2,2``", 2, ":math:`N_{cut}=2` then :math:`2`", ":math:`4^d`" + +.. Note:: + + The order matters. Because elements are not renumbered, ``hrefine=2,3`` + produce a different element numbering as ``hrefine3,2``. Same rule applies to + the restart option below. + +The corresponding restart option is also supported to reuse the solutions from +the original mesh. Use the separator ``;`` to specify the refinement schedule +for each checkpoint file. + +.. code-block:: ini + + [GENERAL] + restartFrom = foo0.f00001 href=2 + +.. csv-table:: Examples of :math:`h`-refine restart options + :header: "Case","``restartFrom``","Output (Size)" + :widths: 40, 50, 50 + + "Original ``.re2``", none (``useric``), ``aaa.fld`` (E) + "``hrefine=3``", ``aaa.fld href=3``, ``bbb.fld`` (27E) + "``hrefine=3,2``", ``aaa.fld href=3;2``, ``ccc.fld`` (216E) + "``hrefine=3,2``", ``bbb.fld href=2``, + "``hrefine=3,2``", ``ccc.fld``, + +.. Note:: + + The h-refine restart option can be combined with other options except ``int``. + Only the latest binary format with ``param(67)=6`` is supported and it will + skip the pressure field when ``if_full_pres=.true.``. + .. _features_post: ------------------ From 2277cfe5c19a824f9ee8cb5d25d0c6dd426c979c Mon Sep 17 00:00:00 2001 From: yslan Date: Mon, 15 Sep 2025 14:05:21 -0500 Subject: [PATCH 2/6] Add MESH par key --- source/problem_setup/case_files.rst | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/source/problem_setup/case_files.rst b/source/problem_setup/case_files.rst index 76e39d4..f3d4796 100644 --- a/source/problem_setup/case_files.rst +++ b/source/problem_setup/case_files.rst @@ -216,7 +216,7 @@ Mesh Parameters .. _tab:meshparams: .. csv-table:: ``MESH`` keys in the ``.par`` file - :widths: 20,20,60 + :widths: 20,30,60 :header: Key, Value(s), Description ``boundaryIDMap``,"````, (``1,2,3...``)",Maps the boundary types to their corresponding boundary IDs @@ -224,6 +224,7 @@ Mesh Parameters ``viscosity``, "````, (``0.4``)", Diffusivity for elasticity solver ``numberOfBCFields``, (``nfields``), Number of field variables which have a boundary condition in ``.re2`` file ``firstBCFieldIndex``, (``1``) or ``2``, Field index of the first BC specified in ``.re2`` file + ``hrefine``, "````, (e.g. ``2,3``)", h-refinement schedule of :math:`N_{cut}` (see :ref:`features_hrefine`); ``1`` disables it .. _sec:velpars: From b0946332eab53871e32e2eab85198c4d11750bbc Mon Sep 17 00:00:00 2001 From: yslan Date: Mon, 15 Sep 2025 14:10:16 -0500 Subject: [PATCH 3/6] tiny --- source/problem_setup/features.rst | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/source/problem_setup/features.rst b/source/problem_setup/features.rst index 51877a1..60b085a 100644 --- a/source/problem_setup/features.rst +++ b/source/problem_setup/features.rst @@ -197,23 +197,24 @@ Users can still adjust the mesh inside ``usrdat2`` after the refinement. .. csv-table:: Examples of :math:`h`-refine options :header: "Par Keys","Rounds","Refinement(s)",":math:`E_{new} / E_{old}`" - :widths: 30, 20, 30, 20 + :widths: 30, 15, 40, 15 "``hrefine=2``", 1, ":math:`N_{cut}=2`", ":math:`2^d`" "``hrefine=2,3``", 2, ":math:`N_{cut}=2` then :math:`3`", ":math:`6^d`" "``hrefine=3,2``", 2, ":math:`N_{cut}=3` then :math:`2`", ":math:`6^d`" "``hrefine=4``", 1, ":math:`N_{cut}=4`", ":math:`4^d`" "``hrefine=2,2``", 2, ":math:`N_{cut}=2` then :math:`2`", ":math:`4^d`" + "``hrefine=2,2,2``", 3, ":math:`(N_{cut}=2)\ \times` 3 times", ":math:`8^d`" .. Note:: The order matters. Because elements are not renumbered, ``hrefine=2,3`` - produce a different element numbering as ``hrefine3,2``. Same rule applies to - the restart option below. + produces a different element numbering as ``hrefine=3,2``. Same rule applies + to the restart option below. The corresponding restart option is also supported to reuse the solutions from the original mesh. Use the separator ``;`` to specify the refinement schedule -for each checkpoint file. +for a checkpoint file. .. code-block:: ini From f9fb851e70d8eacbe19f2da0f25d39a48faea830 Mon Sep 17 00:00:00 2001 From: yslan Date: Sun, 16 Nov 2025 16:52:03 -0600 Subject: [PATCH 4/6] Update h-restart to match latest version - restart option is updated. - new examples, figures and diagram --- source/figs/hrefine_mesh.png | Bin 0 -> 538521 bytes source/figs/hrefine_restart.png | Bin 0 -> 139326 bytes source/problem_setup/case_files.rst | 3 +- source/problem_setup/features.rst | 133 ++++++++++++++++++---------- 4 files changed, 87 insertions(+), 49 deletions(-) create mode 100644 source/figs/hrefine_mesh.png create mode 100644 source/figs/hrefine_restart.png diff --git a/source/figs/hrefine_mesh.png b/source/figs/hrefine_mesh.png new file mode 100644 index 0000000000000000000000000000000000000000..588a98763c36eb76a746c9adbb4b19b4c4dc1318 GIT binary patch literal 538521 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(``1``) or ``2``, Field index of the first BC specified in ``.re2`` file - ``hrefine``, "````, (e.g. ``2,3``)", h-refinement schedule of :math:`N_{cut}` (see :ref:`features_hrefine`); ``1`` disables it .. _sec:velpars: diff --git a/source/problem_setup/features.rst b/source/problem_setup/features.rst index 60b085a..5002277 100644 --- a/source/problem_setup/features.rst +++ b/source/problem_setup/features.rst @@ -66,7 +66,6 @@ Restart Options By default, *Nek5000* will read all available variables from the restart file. Restart options can be added after the filename in the ``.par`` file to control which variables are loaded, to manually set the time, and in the latest github version, to specify an interpolated restart (see :ref:`features_gfldr`). -or apply :math:`h`-refinement (see :ref:`features_hrefine`). To control which variables are read from a restart file, add an additional string composed of the following: .. csv-table:: Variables loaded with restart options @@ -79,7 +78,6 @@ To control which variables are read from a restart file, add an additional strin Temperature,``T`` Passive scalar 'i',``Si`` reset time,``time=0.0`` - h-refinement,``href=2`` :Example: The following directive will load only velocity and passive scalar 2, and set the physical time to 5.0. @@ -172,70 +170,111 @@ The files contain enough information to reconstruct Reynolds stresses considerin .. _features_hrefine: ------------------ -h-Refinement +*h*-Refinement ------------------ -This is an on-the-fly global mesh refinement that splits the edges of each -element into :math:`N_{cut}` uniform segments, resulting in a mesh with -:math:`N_{cut}^d` times elements where :math:`d` is the dimension. -The refinement is based on high-order tensor-product interpolation that inherits -the original boundary conditions, connectivity, and partition. +This option performs an on-the-fly global mesh refinement. Each element edge is +split into :math:`N_{\text{cut}}` uniform segments, so the total number of +elements increases by a factor :math:`N_{\text{cut}}^d`, where :math:`d = 2, 3` +is the spatial dimension. The refined mesh is built by high-order tensor-product +interpolation and preserves the original boundary conditions, connectivity, and +partitioning. -.. Note:: - - Since the partitioning is not re-generated, :math:`h`-refinement can create - an imbalance partition of up to :math:`N_{cut}^d` elements. - -To use this feature, specify the refinement schedule in the .par file, as shown -in the following example with :math:`N_{cut}=2`. -Users can still adjust the mesh inside ``usrdat2`` after the refinement. +To use this feature, set the refinement schedule in the ``.par`` file, as shown +below for :math:`N_{\text{cut}} = 3`. See :numref:`fig:hrefine_mesh` for a 2D +illustration. .. code-block:: ini [MESH] - hrefine = 2 + hrefine = 3 -.. csv-table:: Examples of :math:`h`-refine options - :header: "Par Keys","Rounds","Refinement(s)",":math:`E_{new} / E_{old}`" - :widths: 30, 15, 40, 15 +.. _fig:hrefine_mesh: - "``hrefine=2``", 1, ":math:`N_{cut}=2`", ":math:`2^d`" - "``hrefine=2,3``", 2, ":math:`N_{cut}=2` then :math:`3`", ":math:`6^d`" - "``hrefine=3,2``", 2, ":math:`N_{cut}=3` then :math:`2`", ":math:`6^d`" - "``hrefine=4``", 1, ":math:`N_{cut}=4`", ":math:`4^d`" - "``hrefine=2,2``", 2, ":math:`N_{cut}=2` then :math:`2`", ":math:`4^d`" - "``hrefine=2,2,2``", 3, ":math:`(N_{cut}=2)\ \times` 3 times", ":math:`8^d`" +.. figure:: ../figs/hrefine_mesh.png + :width: 90% + :align: center + :figclass: align-center + :alt: hrefine-mesh -.. Note:: + h-refinement demo. Each element (red) of a 4×4 2D mesh is refined into 3×3 + smaller elements, resulting in 144 elements. - The order matters. Because elements are not renumbered, ``hrefine=2,3`` - produces a different element numbering as ``hrefine=3,2``. Same rule applies - to the restart option below. +Refinement is applied before ``usrdat2``, so users can still adjust mesh +coordinates and boundary conditions in ``usrdat2``. Multiple rounds of +*h*-refinement are also supported (up to ``lhref = 10`` in ``SIZE.inc``). See +:numref:`tab:hrefine_ex1` for examples. -The corresponding restart option is also supported to reuse the solutions from -the original mesh. Use the separator ``;`` to specify the refinement schedule -for a checkpoint file. +.. _tab:hrefine_ex1: -.. code-block:: ini +.. csv-table:: Examples of *h*-refinement options + :header: "Par keys","Rounds","Refinement(s)",":math:`E_{new} / E_{old}`" + :widths: 30, 15, 40, 15 - [GENERAL] - restartFrom = foo0.f00001 href=2 + "``hrefine=2``", 1, ":math:`N_{\text{cut}} = 2`", ":math:`2^d`" + "``hrefine=2,3``", 2, ":math:`N_{\text{cut}} = 2` then :math:`3`", ":math:`6^d`" + "``hrefine=3,2``", 2, ":math:`N_{\text{cut}} = 3` then :math:`2`", ":math:`6^d`" + "``hrefine=4``", 1, ":math:`N_{\text{cut}} = 4`", ":math:`4^d`" + "``hrefine=2,2``", 2, ":math:`N_{\text{cut}} = 2` then :math:`2`", ":math:`4^d`" + "``hrefine=2,2,2``", 3, ":math:`(N_{\text{cut}} = 2)\ \times` 3 times", ":math:`8^d`" + +.. Note:: + + The order of the refinement schedule matters. Because elements are not + renumbered, ``hrefine=2,3`` produces a different element numbering than + ``hrefine=3,2``. The same rule applies to the restart option below. -.. csv-table:: Examples of :math:`h`-refine restart options - :header: "Case","``restartFrom``","Output (Size)" - :widths: 40, 50, 50 +.. Note:: - "Original ``.re2``", none (``useric``), ``aaa.fld`` (E) - "``hrefine=3``", ``aaa.fld href=3``, ``bbb.fld`` (27E) - "``hrefine=3,2``", ``aaa.fld href=3;2``, ``ccc.fld`` (216E) - "``hrefine=3,2``", ``bbb.fld href=2``, - "``hrefine=3,2``", ``ccc.fld``, + Because the partitioning is not recomputed, :math:`h`-refinement can introduce + load imbalance of up to :math:`N_{\text{cut}}^d` elements per rank. + +The restart option also works with *h*-refinement so you can reuse solutions on +refined meshes. Each checkpoint stores up to four refinement steps in its header. +On restart, *Nek5000* compares the *h*-schedule in the ``.par`` with the +*h*-schedule stored in the ``*0.f00001`` file and applies any required refinement +to the fields. A checkpoint is valid as long as its *h*-schedule is an ordered +subset of the *h*-schedule requested for the new run. See the table and diagram +below for an example. + +.. csv-table:: Example of *h*-refinement and restart options + :header: "Simulations","Input mesh","``hrefine``","Output size" + :widths: 15,30,20,35 + + "0","``a.re2``","*(none)*",":math:`E`" + "1","``a.re2``","3",":math:`3^d E`" + "2","``a.re2``","3,2",":math:`6^d E`" + "3","``b.re2``","*(none)*",":math:`6^d E`" + "4","``b.re2``","2",":math:`12^d E`" + +.. _fig:hrefine_restart: + +.. figure:: ../figs/hrefine_restart.png + :width: 90% + :align: center + :figclass: align-center + :alt: hrefine-restart + + Restart diagram for *h*-refinement. Starting from the top-left ``a.re2`` + (green), each simulation (blue) dumps a checkpoint file (white) whose header + shows the stored *h*-schedule. After writing a new ``b.re2``, the schedule is + reset and older checkpoint files are no longer compatible. + +.. csv-table:: Supported restart scenarios + :header: "","Sim 1","Sim 2","Sim 3","Sim 4" + :widths: 12,22,22,22,22 + + "fld 0","ok","ok","Not supported","Not supported" + "fld 1","ok","ok","Not supported","Not supported" + "fld 2","NA","ok","Not supported","Not supported" + "fld 3","NA","NA","ok","ok" .. Note:: - The h-refine restart option can be combined with other options except ``int``. - Only the latest binary format with ``param(67)=6`` is supported and it will - skip the pressure field when ``if_full_pres=.true.``. + The *h*-refinement restart option can be combined with other restart options + except ``int``. It also requires the latest binary format + (``param(67) = 6``) and skips the pressure field when + ``if_full_pres = .true.``. .. _features_post: From 32828df573ae9172c65343fc2f579fd6f102aeb5 Mon Sep 17 00:00:00 2001 From: yslan Date: Sun, 16 Nov 2025 17:12:38 -0600 Subject: [PATCH 5/6] Fix checkpoint hdr offset and add h-schedule This is error-prone for human. Just paste `write(hdr,1)` to chatgpt and ask for 0-base offset. --- source/problem_setup/case_files.rst | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/source/problem_setup/case_files.rst b/source/problem_setup/case_files.rst index 76e39d4..2d3b6ef 100644 --- a/source/problem_setup/case_files.rst +++ b/source/problem_setup/case_files.rst @@ -654,11 +654,13 @@ Some elements that require additional explanation are: +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ | ``rdcode`` | 83 | 10 | ASCII | text | Specifies which fields contained in this file | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ - | ``p0th`` | 94 | 15 | ASCII | decimal | Thermodynamic pressure | + | ``p0th`` | 93 | 15 | ASCII | decimal | Thermodynamic pressure | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ - | ``if_press_mesh`` | 110 | 1 | ASCII | text | States whether pressure mesh is being used | + | ``if_press_mesh`` | 109 | 1 | ASCII | text | States whether pressure mesh is being used | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ - | ``test_value`` | 112 | 4 | binary | 32-bit float | The decimal 6.54321. Used to test endianness. | + | ``h_schedule`` | 111 | 4 | ASCII | text | Encoded :ref:`h-schedule ` | + +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ + | ``test_value`` | 132 | 4 | binary | 32-bit float | The decimal 6.54321. Used to test endianness. | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ The **global element IDs, coordinates, and field data** start at offset 136 bytes. Integer data are always 32-bit. From e3f9472c0571d1a344fd13b0423fb6e5980b55ce Mon Sep 17 00:00:00 2001 From: Yu-Hsiang Lan Date: Tue, 18 Nov 2025 17:19:18 -0600 Subject: [PATCH 6/6] Correct 'iostep' to 'istep' for checkpoint hdr --- source/problem_setup/case_files.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/source/problem_setup/case_files.rst b/source/problem_setup/case_files.rst index 2d3b6ef..330d527 100644 --- a/source/problem_setup/case_files.rst +++ b/source/problem_setup/case_files.rst @@ -646,7 +646,7 @@ Some elements that require additional explanation are: +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ | ``time`` | 38 | 20 | ASCII | decimal | Absolute simulation time of this file's state | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ - | ``iostep`` | 59 | 9 | ASCII | integer | I/O timestep of this file's state | + | ``istep`` | 59 | 9 | ASCII | integer | timestep of this file's state | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+ | ``fid`` | 69 | 6 | ASCII | integer | Index of this file (when using multi-file output) | +-------------------+--------+-------+---------+--------------+---------------------------------------------------+