Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions

DOI10.1016/j.cam.2007.10.034zbMath1211.76074OpenAlexW2442601997MaRDI QIDQ950068

Manuel J. Castro, J. M. González-Vida, José A. García-Rodríguez, C. Parés-Madroñal

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.034

zbMATH Keywords

conservation lawsfinite volume methodsgeophysical flowsparallelizationshallow-water equationsnonconservative productsSIMD parallelismSSE instructions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (5)

A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis ⋮ Simulation of shallow-water systems using graphics processing units ⋮ Anisotropic Mesh and Time Step Adaptivity for Solute Transport Modeling in Porous Media ⋮ A general non-hydrostatic hyperbolic formulation for Boussinesq dispersive shallow flows and its numerical approximation ⋮ On the well-balanced numerical discretization of shallow water equations on unstructured meshes

Uses Software

• SINTEF
• EISPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems
• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• A weak formulation of Roe's approximate Riemann solver
• Matrix eigensystem routines. EISPACK guide extension
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Upwind methods for hyperbolic conservation laws with source terms
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• Definition and weak stability of nonconservative products
• A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows
• On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
• AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
• On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
• How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine
• High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
• NUMERICAL TREATMENT OF WET/DRY FRONTS IN SHALLOW FLOWS WITH A MODIFIED ROE SCHEME

This page was built for publication: Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions