A comparison of Dirichlet and Neumann wavemakers for the numerical generation and propagation of nonlinear long-crested surface waves

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DOIResolve DOI: http://doi.org/10.1115/1.1835987
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TypeArticle
Journal titleJournal of Offshore Mechanics and Arctic Engineering
Volume126
Issue4
Pages287296; # of pages: 10
AbstractWe are studying numerically the problem of generation and propagation of long-crested gravity waves in a tank containing an incompressible inviscid homogeneous fluid initially at rest with a horizontal free surface of finite extent and of infinite depth. A nonorthogonal curvilinear coordinate system, which follows the free surface, is constructed and the full nonlinear kinematic and dynamic free surface boundary conditions are utilized in the algorithm. "Wavemakers" are modeled using both the Dirichlet and Neumann lateral boundary conditions and a full comparison is given. Overall, the Dirichlet model was more stable than the Neumann model, with an upper limit steepness S=2A/ of 0.08 using good resolution compared with the Neumann's maximum of 0.05.
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AffiliationNRC Institute for Ocean Technology; National Research Council Canada
Peer reviewedYes
IdentifierIR-2004-61
NRC number6200
NPARC number8896183
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Record identifier7e927c65-9d72-44ec-9a55-92208b80e3f5
Record created2009-04-22
Record modified2016-05-09
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