Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations
Author:
Funder
Australian Government
Australian Bureau of Meteorology
Publisher
Elsevier BV
Reference35 articles.
1. Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements;McRae;Q. J. R. Meteorol. Soc.,2014
2. Discrete conservation properties for shallow water flows using mixed mimetic spectral elements;Lee;J. Comput. Phys.,2018
3. A compatible and conservative spectral element method on unstructured grids;Taylor;J. Comput. Phys.,2010
4. A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations;Gassner;Appl. Math. Comput.,2016
5. Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: applications to the Euler equations with gravity;Waruszewski;J. Comput. Phys.,2022
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