New absorbing layers conditions for short water waves

We develop a new PML formulation for the linearized shallow-water equations including the Coriolis force. The construction process is based on the uncoupling of the velocity components with the depth of water. Then the damping effect is only applied to the propagative modes just as was formerly done...

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Bibliographic Details
Published inJournal of computational physics Vol. 229; no. 1; pp. 58 - 72
Main Authors Barucq, H., Diaz, J., Tlemcani, M.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Inc 2010
Elsevier
Subjects
Absorption
Analysis of PDEs
Computational techniques
Computer simulation
Coriolis force
Damping
Euler equations
Exact sciences and technology
Linearized shallow-water equations
Mathematical analysis
Mathematical methods in physics
Mathematics
Perfectly Matched Layer
Physics
Stability
Water waves
Coriolis force
Perfectly Matched Layer
Linearized shallow-water equations
Damping
Linearized equation
Coriolis acceleration
Calculation
Euler equations
Performance
Shallow-water equations
Calculation methods
Coriolis Force
Linearized Shallow Water Equations
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Summary:We develop a new PML formulation for the linearized shallow-water equations including the Coriolis force. The construction process is based on the uncoupling of the velocity components with the depth of water. Then the damping effect is only applied to the propagative modes just as was formerly done by Nataf [1] to the linearized Euler equations to enforce the long-time stability. We assess numerically the performance of the new absorbing condition and we illustrate in particular that it is stable for long-time simulations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2009.08.033