A corrected smooth particle hydrodynamics formulation of the shallow-water equations

Authors:
Miguel Rodriguez-Paz;Javier Bonet
Affiliations:
Civil and Computational Engineering Centre, School of Engineering University of Wales Swansea, Swansea SA2 8PP, UK;Civil and Computational Engineering Centre, School of Engineering University of Wales Swansea, Swansea SA2 8PP, UK
Venue:
Computers and Structures
Year:
2005

Citing 4
Cited 1

Simulating free surface flows with SPH

Journal of Computational Physics
Smoothed particle hydrodynamics stability analysis

Journal of Computational Physics
Genuinely multidimensional upwinding for the 2D shallow water equations

Journal of Computational Physics
Smoothed particle hydrodynamics for the simulation of broken-ice fields: Mohr-Coulomb-type rheology and frictional boundary conditions

Journal of Computational Physics

Galerkin based smoothed particle hydrodynamics

Computers and Structures

Quantified Score

Hi-index	0.00

Visualization

Abstract

A shallow-waters formulation based on a variable smoothing length SPH method is presented. This new formulation of the SPH equations treats the continuum as a Hamiltonian system of particles where the constitutive relationships for the materials are introduced via an internal energy term. Some of the advantages of the new SPH formulation are evident in the solution of the shallow-water equations for expanding flows. The shallow-waters approach incorporates the terrain into the equation of motion through terrain properties evaluated using SPH methodology. Several examples are presented on the simulation of breaking dams on different geometries. A comparison with the analytical solutions is also included.