Add higher-order horizontal pressure gradient design doc - #448

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xylar wants to merge 22 commits into

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xylar:omega/design/add-higher-order-hpg-design

Commits on Jul 28, 2026

Add higher-order horizontal pressure gradient design doc
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ba88041
Promote convergence rate to a verification requirement

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5907fb7
Verify the centered limit of the new scheme, not the legacy functor

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a6b45e9
Restate the hydrostatic consistency claim with its real conditions

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1109a31
Split the implementation into two phases

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b721519
Say what each test covers and close three gaps

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6a23d5e
Drop the vorticity discussion

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bfe454d

Commits on Jul 29, 2026

Update design to reflect EOS derivative implementation

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08ef74a
Update the finite-volume HPG design with phase 1 findings
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394f6d6

Commits on Jul 30, 2026

Reduce the finite-volume HPG target to the fixed-pressure geopotential

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cd6618b
Difference the fixed-pressure integrand before integrating it

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6b5ee5a

Commits on Jul 31, 2026

Correct the design against the reference implementation's measurements

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fd9c663

Commits on Aug 2, 2026

Settle the design's open items against the implementation

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d71926b
Correct what the exact layer increment claims

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334ff78
Record what the sea-floor anchor costs where bathymetry steps

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fe52f3e
Move the column scan to the sea-floor anchor and state the gate's condition

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530040a
Measure assumption A2 directly instead of by a contrast sweep

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b9fb0c7
Record the Phase 1 results and retire the tilt exponent as a comparison

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ec759b8
Record the global resting-state measurement that bears on A4

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abe247f
Connect Requirement 2.1's bar to the measured advantage

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2a12174
Move the A4 diagnostic after Phase 1, where it can actually run

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4118ee8

Commits on Aug 3, 2026

Record the seamount result: z-star passes, sigma is unstable

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8270867