An Improved Numerical Simulation Mode of Nonlinear Wave with Consideration of High Order Terms

(整期优先)网络出版时间:2011-04-14
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Inthispaperthe0-1combinedBEMisadoptedtosubpidethecomputationaldomainboundary,andtodiscretizetheGreen’sintegralexpressionbasedonLaplaceequation.TheFEMisusedtosubpidethewavesurfaceanddeducethesurfaceequationwhichsatisfiesthenonlinearboundaryconditionsonthesurface.TheequationswithpotentialfunctionandwavesurfaceheightasanunknownquantitybyapplicationofTaylorexpansionapproachcanbesolvedbyiterationwithinthetimestep.Inm-timeiterationwithinthecomputationalprocessoftimestep(n-1)ΔttonΔt,theresultsofthepreviousiterationaretakenastheinitialvalueofthetwo-orderunknowntermsinthepresentiteration.Thus,animprovedtrackingmodeofnonlinearwavesurfaceisestablished,andnumericalresultsofwavetanktestindicatethatthismodeisimprovedobviouslyandismoreprecisethanthepreviousnumericalmodelwhichignoredthetwo-orderunknowntermsofwavesurfacelocationandvelocitypotentialfunctionincomparisonwiththetheoreticalvalues.