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The Local Artificial Boundary Conditions for Numerical Simulations of the Flow Around a Submerged Body

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Abstract

We consider in this work the numerical approximations of the two-dimensional steady potential flow around a body moving in a liquid of finite constant depth at constant speed and distance below a free surface. Several vertical segments are introduced as the upstream and the downstream artificial boundaries, where a sequence of high-order local artificial boundary conditions are proposed. Then the original problem is solved in a finite computational domain, which is equivalent to a variational problem. The numerical approximations for the original problem are obtained by solving the variational problem with the finite element method. The numerical examples show that the artificial boundary conditions given in this work are very effective.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People's Republic of China

    Houde Han

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  1. Houde Han
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  2. Xin Wen
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Han, H., Wen, X. The Local Artificial Boundary Conditions for Numerical Simulations of the Flow Around a Submerged Body. Journal of Scientific Computing 16, 263–286 (2001). https://doi.org/10.1023/A:1012817627722

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  • DOI: https://doi.org/10.1023/A:1012817627722

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