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Article Dans Une Revue SIAM Journal on Numerical Analysis Année : 2018

A fully well-balanced lagrange-projection-type scheme for the shallow-water equations

Manuel Jesús Castro Díiaz
Tomás Morales de Luna

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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hal-03993092 , version 1 (28-02-2023)

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Manuel Jesús Castro Díiaz, Christophe Chalons, Tomás Morales de Luna. A fully well-balanced lagrange-projection-type scheme for the shallow-water equations. SIAM Journal on Numerical Analysis, 2018, 56 (5), pp.3071-3098. ⟨10.1137/17M1156101⟩. ⟨hal-03993092⟩
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