Conservative arbitrary order finite difference schemes for shallow-water flows

DOI10.1016/j.cam.2007.12.020zbMath1225.76216OpenAlexW2043829147MaRDI QIDQ932746

Denis M. Filatov, Yuri N. Skiba

Publication date: 11 July 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.12.020

zbMATH Keywords

operator splittingshallow-water equationsconservative finite difference schemes

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

On the position of a vortex in a two-dimensional model of atmosphere ⋮ Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere ⋮ A numerical technique for applying time splitting methods in shallow water equations ⋮ On an efficient splitting-based method for solving the diffusion equation on a sphere ⋮ Simulation of soliton‐like waves generated by topography with conservative fully discrete shallow‐water arbitrary‐order schemes

Uses Software

• chammp

Cites Work

• Two-layer shallow-water flow in two dimensions, a numerical study
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Spectral transform solutions to the shallow water test set
• On splitting-based mass and total energy conserving arbitrary order shallow-water schemes
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
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