𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a kinetic model for shallow water waves

✍ Scribed by Jens Struckmeier

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
476 KB
Volume
18
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

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’ distribution function has a compact support which depends on the eigenvalues of the hyperbolic system. It is shown that this kind of kinetic approach is restricted to a special class of non‐linear conservation laws. The kinetic model is used to develop a simple particle method for the numerical solution of shallow water waves. The particle method can be implemented in a straightforward way and produces in test examples sufficiently accurate results.

πŸ“œ SIMILAR VOLUMES

ON BREAKING WAVES AND WAVE-CURRENT INTER
ON BREAKING WAVES AND WAVE-CURRENT INTERACTION IN SHALLOW WATER: A 2DH FINITE ELEMENT MODEL
✍ J. S. ANTUNES DO CARMO; F. J. SEABRA-SANTOS πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 725 KB

Atwo-dunens \* ional (horizontal plane) coastal and estuarine region model, capable of predicting the combined effects of gravity surface shallow-water waves (shoaling, refraction, diffraction. reflection and brmling). and steady currents, is described and numerical results are compared with those o

NUMERICAL SIMULATION OF SHALLOW WATER WA
NUMERICAL SIMULATION OF SHALLOW WATER WAVE PROPAGATION USING A BOUNDARY ELEMENT WAVE EQUATION MODEL
✍ N. Benmansour; D. Ouazar; L. C. Wrobel πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 187 KB πŸ‘ 2 views

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