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473d432
Add higher-order horizontal pressure gradient design doc
xylar Jun 28, 2026
31ac8d1
Promote convergence rate to a verification requirement
xylar Jul 21, 2026
d290708
Verify the centered limit of the new scheme, not the legacy functor
xylar Jul 21, 2026
14c7e78
Restate the hydrostatic consistency claim with its real conditions
xylar Jul 28, 2026
adb4e3d
Split the implementation into two phases
xylar Jul 28, 2026
bc82407
Say what each test covers and close three gaps
xylar Jul 28, 2026
76e9474
Drop the vorticity discussion
xylar Jul 28, 2026
5065d35
Update design to reflect EOS derivative implementation
xylar Jul 29, 2026
1daee31
Update the finite-volume HPG design with phase 1 findings
xylar Jul 29, 2026
4dd3a61
Reduce the finite-volume HPG target to the fixed-pressure geopotential
xylar Jul 30, 2026
6b766c1
Difference the fixed-pressure integrand before integrating it
xylar Jul 30, 2026
9428104
Correct the design against the reference implementation's measurements
xylar Jul 31, 2026
0c081a2
Settle the design's open items against the implementation
xylar Aug 2, 2026
2648da5
Correct what the exact layer increment claims
xylar Aug 2, 2026
ef5930a
Record what the sea-floor anchor costs where bathymetry steps
xylar Aug 2, 2026
ddbd6f6
Move the column scan to the sea-floor anchor and state the gate's con…
xylar Aug 2, 2026
faf5de0
Measure assumption A2 directly instead of by a contrast sweep
xylar Aug 2, 2026
ac75241
Record the Phase 1 results and retire the tilt exponent as a comparison
xylar Aug 2, 2026
a89bf69
Record the global resting-state measurement that bears on A4
xylar Aug 2, 2026
81381d0
Connect Requirement 2.1's bar to the measured advantage
xylar Aug 2, 2026
f178185
Move the A4 diagnostic after Phase 1, where it can actually run
xylar Aug 2, 2026
17d09b8
Record the seamount result: z-star passes, sigma is unstable
xylar Aug 3, 2026
3aa76d9
Drop the evaluation counter from the cost check
xylar Oct 23, 2026
68ddfa9
Bring the design's implementation details in line with the code
xylar Oct 25, 2026
378f13f
Record the measurements made since the implementation landed
xylar Oct 25, 2026
6fbe875
Limit the centered design document to a pointer
xylar Oct 25, 2026
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2 changes: 1 addition & 1 deletion components/omega/doc/design/PGrad.md
Original file line number Diff line number Diff line change
Expand Up @@ -105,7 +105,7 @@ T^p &= - \int_A \int_{\tilde{z}_k^{\text{bot}}}^{\tilde{z}_k^{\text{top}}} \rho_
& + \int_A \rho_0 \left[ \alpha \left<p \nabla \tilde{z}_k^{\text{bot}} \right> \right]_{\tilde{z} = \tilde{z}_k^{\text{bot}}} \, dA.
$$
These volume and area integrals will be computed using quadrature to account for the variability of $\alpha$ with the reconstructed values of temperature, salinity, and pressure at the quadrature points.
The complete details for the high-order pressure gradient will be the subject of a future design document.
The complete details for the high-order pressure gradient are given in the {ref}`Higher-Order Horizontal Pressure Gradient <omega-design-pressure-grad-high-order>` design document, which also revises the form above.

%### 3.3 Barotropic Pressure Gradient
%
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