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

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摘要 Inthispaperthe0-1combinedBEMisadoptedtosubdividethecomputationaldomainboundary,andtodiscretizetheGreen’sintegralexpressionbasedonLaplaceequation.TheFEMisusedtosubdividethewavesurfaceanddeducethesurfaceequationwhichsatisfiesthenonlinearboundaryconditionsonthesurface.TheequationswithpotentialfunctionandwavesurfaceheightasanunknownquantitybyapplicationofTaylorexpansionapproachcanbesolvedbyiterationwithinthetimestep.Inm-timeiterationwithinthecomputationalprocessoftimestep(n-1)ΔttonΔt,theresultsofthepreviousiterationaretakenastheinitialvalueofthetwo-orderunknowntermsinthepresentiteration.Thus,animprovedtrackingmodeofnonlinearwavesurfaceisestablished,andnumericalresultsofwavetanktestindicatethatthismodeisimprovedobviouslyandismoreprecisethanthepreviousnumericalmodelwhichignoredthetwo-orderunknowntermsofwavesurfacelocationandvelocitypotentialfunctionincomparisonwiththetheoreticalvalues.
机构地区 不详
出版日期 2011年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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