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基于耦合边界元法的水下目标低频声散射特性 Title:Low-FrequencySoundScatteringCharacteristicsofUnderwaterTargetsBasedonCoupledBoundaryElementMethod Abstract: Underwatertargetscatteringplaysacrucialroleinvariousapplicationssuchassonarsystems,underwatercommunication,andfisherystudies.Low-frequencysoundscatteringfromunderwaterobjectsisofparticularinterestduetoitslong-rangepropagationandabilitytopenetratethroughthewatercolumn.Thispaperaimstoprovideanin-depthunderstandingofthelow-frequencysoundscatteringcharacteristicsofunderwatertargetsusingthecoupledboundaryelementmethod(BEM).TheBEMisapowerfulnumericaltechniquethatcombinestheadvantagesoftheboundaryintegralequationapproachandthefiniteelementmethodtoaccuratelymodelcomplexunderwatertargetgeometriesandtheiracousticinteractionswiththesurroundingmedium. Introduction: Thescatteringofsoundwavesbyunderwatertargetsisinfluencedbyvariousfactors,includingthetarget'sshape,size,composition,andthepropertiesofthesurroundingmedium.Understandingandpredictingthescatteringcharacteristicsofunderwatertargetsareessentialforvariousunderwaterapplications.Thelow-frequencyrange,typicallybelow1kHz,isofparticularinterestduetoitslong-rangepropagationanditsrelevancetosubmarinedetection,oceanexploration,andunderwaternavigation. Methodology: TheCoupledBoundaryElementMethod(CBEM)isanumericaltechniqueusedtosolvetheacousticscatteringproblemforunderwatertargets.TheCBEMcombinestheacousticboundaryintegralequationapproachwiththefiniteelementmethodtoaccuratelymodeltheacousticradiationfromthetargetandthewaveinteractionwiththesurroundingfluid.TheunderlyingprincipleisbasedontheHelmholtzequation,whichgovernsthebehaviorofsoundwavesinafluidmedium. IntheCBEM,thetargetsurfaceisdiscretizedintosmallelements,andthepressureoneachelementisapproximatedusingasetofbasisfunctions.Theboundaryintegralequationisthensolvedtoobtainthepressuredistributiononthetargetsurface.Thescatteredsoundfieldiscalculatedbyintegratingthesurfacepressuredistributionoverthetargetsurface.Theinteractionbetweenthetargetandthe