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Numerical Simulation of 3D Shallow Water Waves on Sloping Beach

In: Recent Progress in Computational and Applied PDES

Author

Listed:
  • Tiejun Li

    (Peking University, School of Mathematical Sciences)

  • Pingwen Zhang

    (Peking University, School of Mathematical Sciences)

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.

Suggested Citation

  • Tiejun Li & Pingwen Zhang, 2002. "Numerical Simulation of 3D Shallow Water Waves on Sloping Beach," Springer Books, in: Tony F. Chan & Yunqing Huang & Tao Tang & Jinchao Xu & Long-An Ying (ed.), Recent Progress in Computational and Applied PDES, pages 259-268, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0113-8_19
    DOI: 10.1007/978-1-4615-0113-8_19
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