Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

DOI10.4208/nmtma.2011.m1027zbMath1265.76049OpenAlexW4238360835MaRDI QIDQ2916280

Changna Lu, Gang Li

Publication date: 5 October 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.m1027

zbMATH Keywords

shallow water equationsfinite differencehigh-order accuracymultilevel time discretization

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations ⋮ GPU driven finite difference WENO scheme for real time solution of the shallow water equations ⋮ A new fifth-order finite difference well-balanced multi-resolution WENO scheme for solving shallow water equations ⋮ The simple finite volume Lax-Wendroff weighted essentially nonoscillatory schemes for shallow water equations with bottom topography

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