Adaptive finite volume approximation of the shallow water equations

DOI10.1016/j.amc.2011.04.042zbMath1309.76059OpenAlexW2056756893MaRDI QIDQ2018955

L. Kadrnka, Jiří Felcman

Publication date: 26 March 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.042

zbMATH Keywords

finite volume methodshallow water equationsEuler equationsshocksmoving mesh methodnon-stationary problems

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (3)

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations ⋮ Two layer shallow water equations for wave attenuation of a submerged porous breakwater ⋮ Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

Cites Work

• Pointwise control and hybrid scheme for water quality equation
• On a numerical flux for the shallow water equations
• ADER: Arbitrary high-order Godunov approach
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• On a Numerical Flux for the Shallow Water Equations
• An efficient dynamically adaptive mesh for potentially singular solutions
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