Modelling and Simulation of Non-hydrostatic Shallow Flows

DOI10.1007/978-3-319-57394-6_13zbMath1367.65150OpenAlexW2618499031MaRDI QIDQ5271111

C. Escalante, T. Morales de Luna, Manuel J. Castro

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_13

zbMATH Keywords

finite-differenceshallow-waterGPUnon-hydrostaticfinite-volume

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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 boundary value problems involving PDEs (65N06) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes

Uses Software

• PVM

Cites Work

• GPU computing for shallow water flow simulation based on finite volume schemes
• A unified model for the evolution of nonlinear water waves
• Derivation of a non-hydrostatic shallow water model; comparison with Saint-Venant and Boussinesq systems
• A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
• Depth-integrated, non-hydrostatic model for wave breaking and run-up
• A derivation of equations for wave propagation in water of variable depth
• A semi-implicit finite difference method for non-hydrostatic, free-surface flows
• On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
• Long waves on a beach

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