Semi-implicit staggered mesh scheme for the multi-layer shallow water system

DOI10.1016/J.CRMA.2017.09.011zbMath1457.65104OpenAlexW2768889162MaRDI QIDQ1690940

Arnaud Duran, Jean-Paul Vila, Rémy Baraille

Publication date: 12 January 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.09.011

zbMATH Keywords

density stratificationsemi-implicit staggered mesh scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Stratification effects in inviscid fluids (76B70)

Related Items (5)

An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws ⋮ A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system ⋮ A Second Order Consistent MAC Scheme for the Shallow Water Equations on Non Uniform Grids ⋮ Energy-stable staggered schemes for the shallow water equations

Uses Software

• ROMS

Cites Work

• An accurate low-Mach scheme for a compressible two-fluid model applied to free-surface flows
• Pressure correction staggered schemes for barotropic one-phase and two-phase flows
• An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification
• The multilayer shallow water system in the limit of small density contrast
• Centered-Potential Regularization for the Advection Upstream Splitting Method
• On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
• An L2-stable approximation of the Navier-Stokes convection operator for low-order non-conforming finite elements
• Explicit staggered schemes for the compressible euler equations
• Some exact solutions to the nonlinear shallow-water wave equations

This page was built for publication: Semi-implicit staggered mesh scheme for the multi-layer shallow water system