Numerical Simulation of 3D Shallow Water Waves on Sloping Beach

Tiejun Li () and Pingwen Zhang ()
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Tiejun Li: Peking University, School of Mathematical Sciences
Pingwen Zhang: Peking University, School of Mathematical Sciences

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 259-268 from Springer

Abstract: Abstract In this paper, we solve a special 3D model problem concerning moving waterline of shallow water equations. We adopted two kinds of description for moving waterline formulations, of which the second produces better result and is recommended . To solve the 3D model problem, a stable scheme for smooth solution is given through special treatment of boundary, based on which we present numerical example for the 3D model problem, and the result demonstrates the accuracy and stability of our scheme.

Keywords: 3D shallow water equations; moving waterline; semi-Eulerian (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_19

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DOI: 10.1007/978-1-4615-0113-8_19

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