×

zbMATH — the first resource for mathematics

A multilayer Saint-Venant model: derivation and numerical validation. (English) Zbl 1075.35030
This paper studies a variant of the multilayer Saint-Venant system that is an approximation of the incompressible Navier-Stokes equations for shallow water flow with free moving boundary. A discrete version of the model using finite volume framework is presented. Numerical results and comparisons between the monolayer Saint-Venant and Navier-Stokes systems validate the model.

MSC:
35Q30 Navier-Stokes equations
76M12 Finite volume methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
PDF BibTeX XML Cite
Full Text: DOI