• Title/Summary/Keyword: linear Bossinesq equation

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Practical Dispersion-Correction Scheme for Linear Shallow-Water Equations to Simulate the Propagation of Tsunamis (지진해일 전파모의를 위한 선형 천수방정식을 이용한 실용적인 분산보정기법)

  • Cho, Yong-Sik;Sohn, Dae-Hee;Ha, Tae-Min
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1935-1939
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    • 2006
  • In this study, the new dispersion-correction terms are added to leap-frog finite difference scheme for the linear shallow-water equations with the purpose of considering the dispersion effects such as linear Boussinesq equations for the propagation of tsunamis. And, dispersion-correction factor is determined to mimic the frequency dispersion of the linear Boussinesq equations. The numerical model developed in this study is tested to the problem that initial free surface displacement is a Gaussian hump over a constant water depth, and the results from the numerical model are compared with analytical solutions. The results by present numerical model are accurate in comparison with the past models.

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