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A stabilized SPH method for inviscid shallow water flows
Author(s) -
Ata Riadh,
Soulaïmani Azzeddine
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.801
Subject(s) - smoothed particle hydrodynamics , riemann solver , inviscid flow , solver , interpolation (computer graphics) , mathematics , shallow water equations , benchmark (surveying) , boundary value problem , boundary (topology) , stability (learning theory) , riemann problem , mechanics , riemann hypothesis , mathematical analysis , mathematical optimization , geology , computer science , classical mechanics , physics , finite volume method , motion (physics) , geodesy , machine learning
In this paper, the smoothed particle hydrodynamics (SPH) method is applied to the solution of shallow water equations. A brief review of the method in its standard form is first described then a variational formulation using SPH interpolation is discussed. A new technique based on the Riemann solver is introduced to improve the stability of the method. This technique leads to better results. The treatment of solid boundary conditions is discussed but remains an open problem for general geometries. The dam‐break problem with a flat bed is used as a benchmark test. Copyright © 2004 John Wiley & Sons, Ltd.