Unsplit Variables Perfectly Matched Layers for the Shallow Water Equations with Coriolis Forces |
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Authors: | S. Abarbanel D. Stanescu M.Y. Hussaini |
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Affiliation: | (1) Department of Mathematics, Institute of Advanced Studies, Tel Aviv University, Tel Aviv, Israel;(2) School of Computational Science and Information Technology, Florida State University, Tallahassee, FL, USA |
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Abstract: | The paper presents an analytical and numerical study of two perfectly matched layer (PML) formulations for the shallow water equations in terms of the unsplit physical variables. A perturbation method followed by a change of dependent variable allows us to extend the methods to include the Coriolis forces. The PML equations, usually given in terms of the primitive variables, are also presented here in terms of the conservative variables, which facilitates their use in flows containing discontinuities. The performance of the two methods on a set of test cases is investigated. This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | nonreflecting boundary conditions perfectly matched layers shallow water equations |
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