Numerical investigation ofa two-dimensional Boussinesq system

Min Chen

doi:10.3934/dcds.2009.23.1169

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2009, Volume 23, Issue 4: 1169-1190. Doi: 10.3934/dcds.2009.23.1169

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Numerical investigation of a two-dimensional Boussinesq system

Min Chen^1,

1.
Department of Mathematics, Purdue University, West Lafayette, IN 47907

Received: June 30, 2007

Revised: September 30, 2007

Published: October 2009

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Abstract

We present here a highly efficient and accurate numerical scheme for initial and boundary value problems of a two-dimensional Boussinesq system which describes three-dimensional water waves over a moving and uneven bottom with surface pressure variation. The scheme is then used to study in details the waves generated from rectangular sources and the two-dimensional wave patterns.

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Mathematics Subject Classification: Primary: 35Q35, 35Q53,76B15; Secondary: 65M70.

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