An asymptotic preserving scheme for the shallow‐water equations with Manning friction using viscous correction of the HLL scheme
DOI10.1002/num.23030OpenAlexW4287867704MaRDI QIDQ6088180
Christophe Berthon, Marianne Bessemoulin-Chatard, Solène Bulteau
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.23030
finite volume schemesshallow-water equationsasymptotic-preserving schemesconservation laws with source term
Asymptotic behavior of solutions to PDEs (35B40) Friction in solid mechanics (74M10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
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