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• W2232493040 abstract "We propose a variational framework for the resolution of a non-hydrostatic Saint-Venant type model with bottom topography. This model is a shallow water type approximation of the incompressible Euler system with free surface and slightly differs from the Green-Nagdhi model, see [13] for more details about the model derivation.  &nbspThe numerical approximation relies on a prediction-correction type scheme initially introduced by Chorin-Temam [17] to treat the incompressibility in the Navier-Stokes equations. The hyperbolic part ofthe system is approximated using a kinetic finite volume solverand the correction step implies to solve a mixed problem where the velocity and the pressure are defined in compatible finite element spaces.  &nbspThe resolution of the incompressibility constraint leads to an elliptic problem involving the non-hydrostatic part of the pressure. This step uses a variational formulation of a shallow water version of the incompressibility condition.  &nbspSeveral numerical experiments are performed to confirm the relevance of our approach." @default.
• W2232493040 created "2016-06-24" @default.
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• W2232493040 date "2016-01-01" @default.
• W2232493040 modified "2023-09-28" @default.
• W2232493040 title "A combined finite volume - finite element scheme for a dispersive shallow water system" @default.
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• W2232493040 doi "https://doi.org/10.3934/nhm.2016.11.1" @default.
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