论文信息 - Derivation of viscous Saint-Venant system for laminar shallow water

Derivation of viscous Saint-Venant system for laminar shallow water

We derive the Saint-Venant system for the shallow waters including small friction, viscosity and Coriolis-Boussinesq factor departing from the Navier-Stokes system with a free moving boundary. This derivation relies on the hydrostatic approximation where we follow the role of viscosity and friction on the bottom. Numerical comparisons between the limiting Saint-Venant system and direct Navier-Stokes simulation allow to validate this derivation.

Jean-Frédéric Gerbeau | Benoît Perthame | B. Perthame | Jean-Frédéric Gerbeau

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