A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere-Reference-Cited by-同舟云学术

A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere

Published:2022-05 Issue: Volume:457 Page:111067
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Gunzburger Max,Li Buyang,Wang Jilu,Yang Zongze^ORCID

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference38 articles.

1. Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation;Akrivis;SIAM J. Numer. Anal.,2021

2. On the standard Galerkin method with explicit RK4 time stepping for the shallow water equations;Antonopoulos;IMA J. Numer. Anal.,2020

3. Well-balanced second-order approximation of the shallow water equation with continuous finite elements;Azerad;SIAM J. Numer. Anal.,2017

4. Energy–enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions;Bauer;J. Comput. Phys.,2018

5. A well-balanced reconstruction of wet/dry fronts for the shallow water equations;Bollermann;J. Sci. Comput.,2013

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