A spreading drop of shallow water

DOI10.1016/j.jcp.2015.02.003zbMath1351.76010OpenAlexW2065731283MaRDI QIDQ729186

Piotr K. Smolarkiewicz, Dorota Jarecka, Anna Jaruga

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.02.003

zbMATH Keywords

shallow-water equationsmonotonicity preserving advection schemesmpdatawetting-drying areas

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

An unstructured-mesh finite-volume MPDATA for compressible atmospheric dynamics ⋮ MPDATA: third-order accuracy for variable flows ⋮ On displacement shallow water wave equation and symplectic solution

Uses Software

• MPDATA
• libmpdata++

Cites Work

• A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics
• Dispersive barotropic equations for stratified mesoscale ocean dynamics
• An edge-based unstructured mesh discretisation in geospherical framework
• MPDATA: A finite-difference solver for geophysical flows
• A synchronous and iterative flux-correction formalism for coupled transport equations
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• Different approximations of shallow fluid flow over an obstacle
• Multidimensional positive definite advection transport algorithm: an overview

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