on the water impact of general two-dimensional sections

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1、APOR363AppliedOceanResearch21(1999)1±15Onthewaterimpactofgeneraltwo-dimensionalsectionsXiaomingMei,YumingLiu,DickK.P.Yue*DepartmentofOceanEngineering,MassachusettsInstituteofTechnology,Cambridge,MA02139,USAReceived8April1998;accepted1October1998AbstractWeconsidertheanalyticsolutionofthe

2、impactproblemofageneraltwo-dimensionalbodyenteringinitiallycalmwater.Ofinterestarethewatersplash-upheight,theforcehistoryandthepressuredistributiononthebody.Thepotential-¯owformulationofWagner(Wagner,H.Math.Mech.1932;12(4):193±215)isappliedandextendedtoanarbitrarybodysectionwiththebodyb

3、oundaryconditionimposedontheexactwettedsurfaceofthebody.Forwedgesandcircularcylinders,wederiveclosed-formsolutionsusingconformalmappingfortheboundary-valueproblematanyinstant.ThesesolutionsreducetothoseofWagnerinthesmalldeadriseangle/shallow-bodylimitandareveri®edforthegeneralcasebythee

4、xistingexperimentsandfullynonlinearnumericalsimulations.Forship-likesections,wedevelopageneralschemebasedonLewis-formrepresentationsforwhichwealsoobtainanalyticsolutions.Forillustration,thesolutionforabow¯aresectionisobtainedwhichcomparesfavorablywithexperiments.Thepresentapproachgenera

5、lizesWagner'smethodtoawideclassofbodysectionsandisofimmediatepracticaluseinthestudyofshipslamming.q1999ElsevierScienceLtd.Allrightsreserved.Keywords:Impact;Slamming;Conformal-mapping;Lewis-form;Wedge1.Introductiondeadriseangle,itisimplicitlygivenintermsofintegralequations,whichmustbesol

6、vednumerically.Suchsimilar-Theimpactofbluffbodiesstrikingawatersurfaceoftenitysolutions,ofcourse,cannotbeobtainedforarbitrarycausesanextremelylargeloadwithhightransientlocalbodies.pressureonthebodies.ThisslammingloadcanresultinRecently,Zhaoetal.[7]generalizedtheworkofWagnersubstantialda

7、mageinthestructuresofshiphullsandmarine[1]byapplyinglinearizedfree-surfaceboundaryconditionsfacilities.Owingtoitspracticalimportanceinoceanengi-onthehorizontalplaneatthesplash-upheightandimposingneering,thewater-bodyimpactproblemhasattractedathebodyboundaryconditionontheactualp