A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography-Reference-Cited by-同舟云学术

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A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography

Published:2022-06 Issue:3 Volume:44 Page:A1655-A1680
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Kurganov Alexander,Liu Yongle,Lukáčová-Medviďová Mária

Funder

Guangdong Provincial Key Laboratory of Computational Science and Material Design

Mainz Institute for Multiscale Modeling

Deutsche Forschungsgemeinschaft

Gutenberg Forschungskolleg

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference46 articles.

1. Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

2. Preservation of the Discrete Geostrophic Equilibrium in Shallow Water Flows

3. Conservative discretization of Coriolis force in a finite volume framework

4. IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

5. Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. High order well-balanced asymptotic preserving IMEX RKDG schemes for the two-dimensional nonlinear shallow water equations;Journal of Computational Physics;2024-08

2. Well-balanced finite difference WENO-AO scheme for rotating shallow water equations with Coriolis force;Computers & Fluids;2024-04

3. Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes;Journal of Computational Physics;2023-09

4. Well-balanced numerical method for atmospheric flow equations with gravity;Applied Mathematics and Computation;2023-02

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