A simple multi-layer finite volume solver for density-driven shallow water flows

DOI10.1016/j.matcom.2013.04.016OpenAlexW2068312420MaRDI QIDQ2229838

Saida Sari, Mohammed Seaid, Fayssal Benkhaldoun

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/12588/

zbMATH Keywords

finite volume methodmodified method of characteristicsdensity-driven flowsmulti-layer shallow water equations

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Geophysics (86-XX)

Cites Work

• Unnamed Item
• Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model: kinetic interpretation and numerical solution
• A new finite volume method for flux-gradient and source-term balancing in shallow water equations
• A simple finite volume method for the shallow water equations
• Numerical simulation of two-layer shallow water flows through channels with irregular geometry.
• AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
• A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation
• An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
• 1-D numerical modelling of shallow flows with variable horizontal density
• Maximal two-layer exchange over a sill and through the combination of a sill and contraction with barotropic flow
• A numerical model for the flooding and drying of irregular domains