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A QUASI-BUBBLE FINITE ELEMENT FORMULATION FOR THE SHALLOW WATER EQUATIONS WITH A DISCONTINUOUS BOUNDARY IMPLEMENTATION

  • Shintaro Bunya
  • Shinobu Yoshimura
  • J. Joannes Westerink
Conference paper

Abstract

A finite element model for the shallow water equations based on the quasi-bubble-function approximation is discussed focusing on an alternative implementation of surface elevation boundary conditions. Numerical experiments demonstrate that the conventional implementation of the boundary conditions originate spurious oscillations. In this work, the alternative implementation, which we refer to as a discontinuous boundary implementation (DBI), is proposed with validation via numerical testing. The results indicate that the DBI improves accuracy of numerical solutions and eliminates the spurious modes.

Keywords

Shallow Water Equation Exact Analytical Solution Spurious Oscillation Spurious Mode Alternative Implementation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Shintaro Bunya
    • 1
  • Shinobu Yoshimura
    • 1
  • J. Joannes Westerink
    • 2
  1. 1.Institute of Environmental StudiesThe University of TokyoBunkyoJapan
  2. 2.Department of Civil Engineering and Geological SciencesUniversity of Notre DameNotre DameUSA

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