Instability in leapfrog and forward-backward schemes. II: Numerical simulations of dam break

DOI10.1016/J.COMPFLUID.2010.11.002zbMath1430.76025OpenAlexW1601040191MaRDI QIDQ534584

Wen-Yih Sun

Publication date: 18 May 2011

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2010.11.002

zbMATH Keywords

shockeigenvalueshallow-water equationsRiemann solversemi-implicit schemecharacteristic-base semi-LagrangianShuman smoothing

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06)

Related Items (2)

Numerical simulation of Rossby wave in shallow water ⋮ A modified leapfrog scheme for shallow water equations

Cites Work

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• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Approximate Riemann solvers, parameter vectors, and difference schemes
• An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws
• A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
• Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
• Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids

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