A fully well-balanced lagrange-projection-type scheme for the shallow-water equations
Résumé
This work focuses on the numerical approximation of the shallow water equations using a Lagrange-projection-type approach. We propose a fully well-balanced explicit and positive scheme using relevant reconstruction operators. By fully well-balanced, it is meant that the scheme is able to preserve stationary smooth solutions of the model with nonzero velocity, including of course also the well-known lake at rest equilibrium. Numerous numerical experiments illustrate the good behavior of the scheme.
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Licence : CC BY - Paternité
Licence : CC BY - Paternité