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WIP: Some test cases for Dry Euler Equations #86

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@MarcoArtiano MarcoArtiano commented Apr 14, 2025

This PR adds the following test cases:

  • Linear Hydrostatic Mountain
  • Linear non-Hydrostatic Mountain
  • Mountain Schär
  • Density Current over orography

The mountain test cases are provided with a damping layer on the lateral and top boundaries.

These test cases can be found in: Giraldo et. al, A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases [JCP, 2008]

Linear Hydrostatic Mountain:
Screenshot from 2025-04-14 17-15-36

Linear non-Hydrostatic Mountain: vertical velocity contour
image

Mountain Schär: vertical velocity contour
image

Density Current over orography (note: typically this test case is presented with the viscosity term in the momentum equation)
image(1)

@MarcoArtiano MarcoArtiano changed the title Some test cases for Dry Euler Equations WIP: Some test cases for Dry Euler Equations Apr 14, 2025
@MarcoArtiano MarcoArtiano marked this pull request as draft April 14, 2025 15:44
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