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Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves

Published online by Cambridge University Press:  20 August 2015

Gary Cohen  and
Sébastien Imperiale
Gary Cohen*
Affiliation:
INRIA, Domaine de Voluceau, Rocquencourt-BP 105, 78153 Le Chesnay Cedex, France
Sébastien Imperiale*
Affiliation:
INRIA, Domaine de Voluceau, Rocquencourt-BP 105, 78153 Le Chesnay Cedex, France
*
Email address:gary.cohen@inria.fr
Corresponding author.Email:Sebastien.imperiale@inria.fr
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Abstract

After setting a mixed formulation for the propagation of linearized water waves problem, we define its spectral element approximation. Then, in order to take into account unbounded domains, we construct absorbing perfectly matched layer for the problem. We approximate these perfectly matched layer by mixed spectral elements and show their stability using the “frozen coefficient” technique. Finally, numerical results will prove the efficiency of the perfectly matched layer compared to classical absorbing boundary conditions.

Keywords

35J0541.20.cv43.20.HqLinearized water wavesperfectly matched layermixed finite elements
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 2 , February 2012 , pp. 285 - 302
Copyright
Copyright © Global Science Press Limited 2012

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