A semi-implicit multiscale scheme for shallow water flows at low Froude number

DOI10.2140/camcos.2018.13.303zbMath1402.65094OpenAlexW2893933959WikidataQ129189891 ScholiaQ129189891MaRDI QIDQ1627618

Rupert Klein, Stefan Vater

Publication date: 30 November 2018

Published in: Communications in Applied Mathematics and Computational Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0c503bbeb7f8264aad2ba080f42d0a6022b18b88

zbMATH Keywords

shallow water equationslarge time stepsasymptotically adaptive numerical methodsbalanced modesmultiscale time integration

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (10)

A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography ⋮ High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers ⋮ An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes ⋮ Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving chimera meshes ⋮ High order structure-preserving finite difference WENO schemes for MHD equations with gravitation in all sonic Mach numbers ⋮ A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes ⋮ A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography ⋮ An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces ⋮ Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations ⋮ Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws

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