A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography
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Publication:5131973
DOI10.1137/19M1262590zbMath1451.76077OpenAlexW3085970828MaRDI QIDQ5131973
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1262590
flux splittingshock-capturing schemeimplicit-explicit Runge-Kutta methodsmall Froude numberbed-slope term
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) 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)
Related Items (3)
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers ⋮ High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers ⋮ High order structure-preserving finite difference WENO schemes for MHD equations with gravitation in all sonic Mach numbers
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