Improved FVM for two-layer shallow-water models: Application to the Strait of Gibraltar

This paper deals with the numerical simulation of flows of stratified fluids through channels with irregular geometry. Channel crosssections are supposed to be symmetric but not necessarily rectangular. The fluid is supposed to be composed of two shallow layers of immiscible fluids of constant densities, and the flow is assumed to be one-dimensional. Therefore, the equations to be solved are a coupled system composed of two Shallow Water models with source terms involving depth and breadth functions. Extensions of Roe’s Qscheme are proposed where a suitable treatment of the coupling and source terms is performed by adapting the techniques developed in [Va´zquez-Cendo´n ME. Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry. J Comp Phys 1999;148:497–526; Garcı´a-Navarro P, Va´zquez-Cendo´n ME. On numerical treatment of the source terms in the shallow water equations. Comput Fluids 2000;29(8):17–45; ...

• Type: Journal
• Year: 2007
• Where: AES
• Authors: Manuel Jose Castro Díaz, José A. García-Rodríguez, José M. González-Vida, Jorge Macías Sánchez, Carlos Parés
• Keywords: AES 2007, Cryptology, Shallow Water, Shallow Water Equations, Source Term