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A nonlinear RDF model for waves propagating in shallow water

✍ Scribed by Houjie Wang; Yang Zuosheng; Li Ruijie; Jun Zhang


Publisher
SP Science China Press
Year
2001
Tongue
English
Weight
206 KB
Volume
44
Category
Article
ISSN
1674-7291

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## Abstract The system of shallow water waves is one of the classical examples for non‐linear, two‐dimensional conservation laws. The paper investigates a simple kinetic equation depending on a parameter Ο΅ which leads for Ο΅ β†’ 0 to the system of shallow water waves. The corresponding β€˜equilibrium’ d

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The present paper makes use of a wave equation formulation of the primitive shallow water equations to simulate one-dimensional free surface flow. A numerical formulation of the boundary element method is then developed to solve the wave continuity equation using a time-dependent fundamental solutio