Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations

DOI10.4208/cicp.OA-2019-0065zbMath1476.76033OpenAlexW3044389828MaRDI QIDQ5162330

Julian Koellermeier, Marvin Rominger

Publication date: 2 November 2021

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

Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0065

zbMATH Keywords

shallow water equationlinear stability analysismoment methoddam break problemhyperbolicity loss

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Hydrodynamic stability (76E99)

Related Items (8)

Steady states and well-balanced schemes for shallow water moment equations with topography ⋮ Spatially adaptive projective integration schemes for stiff hyperbolic balance laws with spectral gaps ⋮ Equilibrium stability analysis of hyperbolic shallow water moment equations ⋮ Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties ⋮ A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws ⋮ Layer-averaged approximation of Navier–Stokes system with complex rheologies ⋮ Shallow Water Moment Models for Bedload Transport Problems ⋮ A general vertical decomposition of Euler equations: multilayer-moment models

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