A Verification Suite of Test Cases for the Barotropic Solver of Ocean Models

Bishnu, Siddhartha; Petersen, Mark R.; Quaife, Bryan; Schoonover, Joseph

doi:10.1029/2022MS003545

Title: A Verification Suite of Test Cases for the Barotropic Solver of Ocean Models

Journal Article · 09 April 2024 · Journal of Advances in Modeling Earth Systems

DOI: https://doi.org/10.1029/2022MS003545 · OSTI ID:2335958

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Computational Physics and Methods Group Los Alamos National Laboratory Los Alamos NM USA, Department of Scientific Computing Florida State University Tallahassee FL USA, Department of Earth, Atmospheric, and Planetary Sciences Massachusetts Institute of Technology Cambridge MA USA
Computational Physics and Methods Group Los Alamos National Laboratory Los Alamos NM USA
Department of Scientific Computing Florida State University Tallahassee FL USA, Geophysical Fluid Dynamics Institute Florida State University Tallahassee FL USA
Fluid Numerics Boulder CO USA

Abstract The development of any atmosphere or ocean model warrants a suite of test cases (TCs) to verify its spatial and temporal discretizations, order of accuracy, stability, reproducibility, portability, scalability, etc. In this paper, we present a suite of shallow water TCs designed to verify the barotropic solver of atmosphere and ocean models. These include the non‐dispersive coastal Kelvin wave; the dispersive inertia‐gravity wave; the dispersive planetary and topographic Rossby waves; the barotropic tide; and a non‐linear manufactured solution. These TCs check the implementation of the linear pressure gradient term; the linear constant or variable‐coefficient Coriolis and bathymetry terms; and the non‐linear advection terms. Simulation results are presented for a variety of time‐stepping methods as well as two spatial discretizations: a mimetic finite volume method based on the TRiSK scheme, and a high‐order discontinuous Galerkin spectral element method. The experimental procedure for conducting these numerical experiments is detailed. It underscores several key considerations that vary depending on the chosen spatial discretization method. Finally, convergence studies of every TC are conducted with refinement in both space and time, only in space, and only in time. The convergence slopes match the expected theoretical predictions.

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Sponsoring Organization:: USDOE

OSTI ID:: 2335958

Alternate ID(s):: OSTI ID: 2350642; OSTI ID: 2372899

Journal Information:: Journal of Advances in Modeling Earth Systems, Journal Name: Journal of Advances in Modeling Earth Systems Journal Issue: 4 Vol. 16; ISSN 1942-2466

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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