Numerical study of solitary wave fission over an underwater step Project supported by the National Natural Science Foundation of China (Grant Nos.10772099, 50221903)

Solitary wave fission over an underwater step is numerically investigated. The numerical model is based on the enhanced Boussinesq equations, which appropriately represent both the nonlinearity and dispersivity of surface water waves. The finite difference method defined on the staggered grid in spa...

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Bibliographic Details
Published inJournal of hydrodynamics. Series B Vol. 20; no. 3; pp. 398 - 402
Main Authors LU, Ji, YU, Xi-ping
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2008
Subjects
enhanced Boussinesq equations
numerical computation
solitary wave fission
underwater step
enhanced Boussinesq equations
underwater step
numerical computation
solitary wave fission
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Summary:Solitary wave fission over an underwater step is numerically investigated. The numerical model is based on the enhanced Boussinesq equations, which appropriately represent both the nonlinearity and dispersivity of surface water waves. The finite difference method defined on the staggered grid in space with an implicit scheme for time stepping is employed for the numerical solution of the governing equations. It is demonstrated that Boussinesq type equations, though they are vertically integrated, can describe the details of the solitary wave fission process with very good accuracy. Numerical results of the reflected and transmitting wave heights, the number of solitons emitted from the transmitting wave and their amplitudes all agree very well with the analytical solution derived from KdV equation by virtue of a linear long wave approximation in the vicinity of the underwater step.
ISSN:1001-6058
DOI:10.1016/S1001-6058(08)60073-6