A large time step 1D upwind explicit scheme (CFL\(>1\)): application to shallow water equations

DOI10.1016/j.jcp.2012.06.017zbMath1284.65113OpenAlexW2026176469MaRDI QIDQ2446965

Yanyan Li

Publication date: 23 April 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.06.017

zbMATH Keywords

boundary conditionssource termshyperbolic conservation lawsshallow water flowslarge time step schemeCFL limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (12)

High-resolution large time-step schemes for inviscid fluid flow ⋮ Second-order large time step wave adding scheme for hyperbolic conservation laws ⋮ Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations ⋮ A 2D extension of a large time step explicit scheme \((\mathrm{CFL}>1)\) for unsteady problems with wet/dry boundaries ⋮ Large time step HLL and HLLC schemes ⋮ A conservative strategy to couple 1D and 2D models for shallow water flow simulation ⋮ Large time step roe scheme for a common 1D two-fluid model ⋮ A large time step explicit scheme (\(\mathrm{CFL}>1\)) on unstructured grids for 2D conservation laws: application to the homogeneous shallow water equations ⋮ Numerical simulations of hydraulic jumps with the Shear Shallow Water model ⋮ Large Time Step TVD Schemes for Hyperbolic Conservation Laws ⋮ Large time step wave adding scheme for systems of hyperbolic conservation laws ⋮ Godunov-type large time step scheme for shallow water equations with bed-slope source term

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