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Summary:A set of nonlinear Boussinesq equations with fully nonlinearity property is solved numerically in generalized coordinates, to develop a Boussinesq-type wave model in dealing with irregular computation boundaries in complex nearshore regions and to facilitate the grid refinements in simulations. The governing equations expressed in contravariant components of velocity vectors under curvilinear coordinates are derived and a high order finite difference scheme on a staggered grid is employed for the numerical implementation. The developed model is used to simulate nearshore wave propagations under curvilinear coordinates, the numerical results are compared against analytical or experimental data with a good agreement.
Bibliography:31-1563/T
FANG Ke-zhao State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China Key Laboratory of Coastal Disaster and Defence,Ministry of Education,Hohai University,Nanjing 210098,China ZOU Zhi-li,LIU Zhong-bo,YIN Ji-wei State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China
Boussinesq equation; waves; body fitted coordinate
A set of nonlinear Boussinesq equations with fully nonlinearity property is solved numerically in generalized coordinates,to develop a Boussinesq-type wave model in dealing with irregular computation boundaries in complex nearshore regions and to facilitate the grid refinements in simulations.The governing equations expressed in contravariant components of velocity vectors under curvilinear coordinates are derived and a high order finite difference scheme on a staggered grid is employed for the numerical implementation.The developed model is used to simulate nearshore wave propagations under curvilinear coordinates,the numerical results are compared against analytical or experimental data with a good agreement.
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content type line 23
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(11)60239-4