NUMERICAL SIMULATION OF SHALLOW WATER WAVE PROPAGATION USING A BOUNDARY ELEMENT WAVE EQUATION MODEL

✍ Scribed by N. Benmansour; D. Ouazar; L. C. Wrobel

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 187 KB
• Volume: 24
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19970115)24:1<1::aid-fld470>3.0.co;2-1

✦ Synopsis

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 solution, while an explicit finite difference scheme is used to derive velocities from the primitive momentum equation. One-dimensional free surface flows in open channels are treated and the results compared with analytical and numerical solutions.