简介：Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

简介：ThepaperistogeneralizetherigiditytheoremthatthespecialWeingartensurfaceisthespheretothecaseofsubmanifolds.Itisprovedthatanon-negativelyimmersedcompactsubmaifnoldinspaceformofconstantcurvatureisaRiemannianproductofseveraltotallyumbilicalsubmanifoldsifthemeancurvatureandthescalarcurvatureofthesubmanifoldsatisfyacertainfunctionrelation.

简介：MostalgorithmsoftheimmersedboundarymethodoriginatedbyPeskinareexplicitwhenitcomestothecomputationoftheelasticforcesexertedbytheimmersedboundarytothefluid.Adrawbackofsuchanexplicitapproachisasevererestrictiononthetimestepsizeformaintainingnumericalstability.AnimplicitimmersedboundarymethodintwodimensionsusingthelatticeBoltzmannapproachhasbeenproposed.Thispaperreportsanextensionofthemethodtothreedimensionsanditsapplicationtosimul...

简介：在这份报纸，我们为与不连续的系数解决弹性问题与错误控制建议适应有限元素方法。在方法的网孔不需要适合接口。我们建立一基于剩余是独立趋于增加的常数的posteriori错误估计；Lam????D

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简介：Acoupledimmersedboundary-latticeBoltzmannmethod(IB-LBM)isintroducedtosolvebiomimeticproblems.ComparedtotheconventionalIB-LBM,thestrictsatisfactionofno-slipboundaryconditionisimplementedinthecurrentmethod.Consequently,thephenomenonofflowpenetrationthatisfrequentlyobservedintheconventionalIB-LBMisfullyprevented,andsubsequentlytheforceontheboundarycanbecalculatedmoreaccurately.Thisfeatureisofimportanceforthesimulationofbiomimeticproblems.Moreover,byapplyingtherelationshipbetweenthevelocitycorrectionandforcingterm,theboundaryforcecanbecalculatedeasily.Severalbiomimeticproblemsarethensimulated.Basedonthegoodagreementbetweenthecurrentresultsandthoseintheliterature,itmaybeconcludedthatthepresentIB-LBMhasthecapabilitytohandlevariousbiomimeticproblems.

简介：Alargeeddysimulation(LES)oftheflowsaroundanunderwatervehiclemodelatintermediateReynoldsnumbersisperformed.TheunderwatervehiclemodelistakenastheDARPASUBOFFwithfullappendages,wheretheReynoldsnumberbasedonthehulllengthis1.0×105.Animmersedboundarymethodbasedonthemoving-least-squaresreconstructionisusedtohandlethecomplexgeometricboundaries.Theadaptivemeshrefinementisutilizedtoresolvetheflowsnearthehull.Theparallelscalabilitiesoftheflowsolveraretestedonmesheswiththenumberofcellsvaryingfrom50millionto3.2billion.Theparallelsolverreachesnearlylinearscalabilityfortheflowsaroundtheunderwatervehiclemodel.Thepresentsimulationcapturestheessentialfeaturesofthevortexstructuresnearthehullandinthewake.Bothofthetime-averagedpressurecoefficientsandstreamwisevelocityprofilesobtainedfromtheLESareconsistentwiththecharacteristicsoftheflowspassanappendedaxisymmetricbody.Thecodeefficiencyanditscorrectpredictionsonflowfeaturesallowustoperformthefull-scalesimulationsontensofthousandsofcoreswithbillionsofgridpointsforhigher-Reynolds-numberflowsaroundtheunderwatervehicles.

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简介：处于在边界随机刺激下面的飞机紧张状态的压电的厚壳的随机的反应与压电的圆柱的壳被学习并且说明。为电的潜力的微分方程放射状地是综合的作为排水量的功能获得电的潜力。随机的压力边界条件被转变变换成同类的，它在随机的刺激下面为排水量产出电、机械的联合微分方程。然后，这个部分微分方程用Galerkin方法和Legendre多项式被变换成平常的微分方程，它与不对称的僵硬矩阵代表一个随机的multi-degree-of-freedom系统由于电、机械联合并且转变边界条件。频率反应功能矩阵和反应力量光谱系统的密度矩阵基于随机的颤动的理论被导出。吝啬平方的排水量和压电的壳的电的潜力最后被获得，并且频率反应特征和电、机械的联合性质被探索。

简介：Inthispaper,aclassofnewimmersedinterfacefiniteelementmethods(IIFEM)isdevelopedtosolveelasticityinterfaceproblemswithhomogeneousandnon-homogeneousjumpconditionsintwodimensions.Simplenon-body-fittedmeshesareused.Forhomogeneousjumpconditions,bothnon-conformingandconformingbasisfunctionsareconstructedinsuchawaythattheysatisfythenaturaljumpconditions.Fornon-homogeneousjumpconditions,apairoffunctionsthatsatisfythesamenon-homogeneousjumpconditionsareconstructedusingalevel-setrepresentationoftheinterface.Withsuchapairoffunctions,thediscontinuitiesacrosstheinterfaceinthesolutionandfluxareremoved;andanequivalentelasticityinterfaceproblemwithhomogeneousjumpconditionsisformulated.Numericalexamplesarepresentedtodemonstratethatsuchmethodshavesecondorderconvergence.

简介：Dynamicfluid-solidinteractionsarewidelyfoundinchemicalengineering,suchasinparticle-ladenflows,whichusuallycontaincomplexmovingboundaries.Theimmersedboundarymethod(IBM)isaconvenientapproachtohandlefluid-solidinteractionswithcomplexgeometries.Inthiswork,Uhlmann’sdirect-forcingIBMisimprovedandimplementedonasupercomputerwithCPU-GPUhybridarchitecture.Thedirect-forcingIBMismodifiedasfollows:thePoisson’sequationforpressureissolvedbeforeevaluationofthebodyforce,andtheforceisonlydistributedtotheCartesiangridsinsidetheimmersedboundary.Amultidirectforcingschemeisusedtoevaluatethebodyforce.Thesemodificationsresultinadivergence-freeflowfieldinthefluiddomainandtheno-slipboundaryconditionattheimmersedboundarysimultaneously.Thismethodisimplementedinanexplicitfinite-differencefractional-stepscheme,andvalidatedby2Dsimulationsoflid-drivencavityflow,Couetteflowbetweentwoconcentriccylindersandflowoveracircularcylinder.Finally,themethodisusedtosimulatethesedimentationoftwocircularparticlesinachannel.Theresultsagreeverywellwithpreviousexperimentalandnumericaldata,andaremoreaccuratethantheconventionaldirect-forcingmethod,especiallyinthevicinityofamovingboundary.

简介：Toinvestigatethesizeeffectonthecharacteristicsofboilingheattransfer,boilingbehaviorofFC-72inheatedverticalminiaturecirculartubesimmersedinaliquidpoolwasexperimentallystudied.TwoAISI304stainlesssteeltubeswithinnerdiametersof1.10mmand1.55mmcorrespondingly,wereheatedbyswirledNi-CrwireheatersandsealedinLuciteblocksbysiliconadhesive.Boththetopandthebottomendsofthecirculartestsectionswereopentotheliquidpool.Theboilingcurvesandheattransfercoefficientswereobtainedexperimentally.Theboilingbehaviorsattheoutletsoftheminiaturetubeswerealsovisualizedwithadigitalvideocamera.Experimentalresultsshowthatthetubegeometryhasasignificanteffectontheboilingcharacteristics.Vaporblockingattheoutletofthesmallercirculartubewithadiameterof1.10mmcausedsevereboilinghysteresisphenomena.TheCHFdecreasedwithreducingintubesize.

简介：把方法(IBM)和有限体积基于沉浸的边界优化因素pre的协议(FVOPC)计划，噪音繁殖在内并且在一把错流扇子的套外面的数字模拟被建立。不稳定的线性化的Euler方程被解决直接模仿飞行器声学的地。为了验证FVOPC，策划，一个模拟盒子：一个维的线性波浪繁殖问题用FVOPC计划，DRP计划和hoc计划被执行。FVOPC的结果在对分析答案的好同意，它比DRP和hoc计划的结果好。FVOPC比DRP和hoc计划是更少的分散和驱散。然后，噪音繁殖问题的数字模拟被执行。36紧缩的旋转噪音来源的噪音地与1000r/min的旋转速度被获得。吸收边界状况的PML为压抑数字思考被用于健全的远地边界条件。墙边界状况被用于套。结果证明在这块地里套墙和声波干扰上有思考。有IBM的FVOPC对在为压抑分散和驱散的复杂几何学下面的噪音繁殖问题合适，并且也把高顺序作为精确。

简介：Wedescribeafewmathematicaltoolswhichallowtoinvestigatewhetherair-waterinterfacesexist(underprescribedconditions)andaremechanicallystableandtemporallypersistent.Intermsofphysics,air-waterinterfacesaregovernedbytheYoung-Laplaceequation.Mathematicallytheyaresurfacesofconstantmeancurvaturewhichrepresentsolutionsofanonlinearellipticpartialdifferentialequation.Althoughexplicitsolutionsofthisequationcanbeobtainedonlyinveryspecialcases,itis-undermoderatelyspecialcircumstances-possibletoestablishtheexistenceofasolutionwithoutactuallysolvingthedifferentialequation.Wealsoderivecriteriaformechanicalstabilityandtemporalpersistenceofanairlayer.Furthermorewecalculatethelifetimeofanon-persistentairlayer.Finally,weapplythesetoolstotwoexampleswhichexhibitthesymmetriesof2Dlattices.TheseexamplescanbeviewedasabstractionsofthebiologicalmodelrepresentedbytheaquaticfernSalvinia.

简介：Anon-linecontrolmethodofsurfacequalityforcontinuoushot-dipgalvanizedsteelstripaftercoolingispresented,whichcombinesanalyticaldynamicstheoryofathinplatewiththefiniteelementmethod.Theinherentcharacteristicsofthenon-immersedandpartiallyimmersedstripinliquidzincwerecalculatedonthebasisoftheoreticalanalysisandnumericalsimulation,respectively.Multi-parameterfittingofthedeviationbetweenresultsusingdifferentmethodswasperformed.Tooptimizethestripexcitationfrequencyawayfromtheresonanceregion,on-linevibrationcontrolofthestripneartheairknifeunderfullproductconditionswasachievedbychangingthefieldproductionparametersbasedonthefieldtestresults.Theresultsindicatethatalthoughtheaxialvelocityhaslittleeffectontheinherentcharacteristicsofthestripcomparedwithothermanufacturingparameterssuchasthesteelspecificationsandtension,itinducesexternalexcitations,includingmovingtheaerodynamicloadandbearingvibration.Tosomedegree,thevibrationneartheairknifecanbereducedbystrengtheningthesupportstiffnessofthecontactrolls.Atotalon-linecontrolprogramofsurfacequalityforcontinuoushot-dipgalvanizedpureZnandgalvannealedsteelsheetinthecoolingsectionisproposed.

简介：ImmersedtunnelisanimportantpartoftheHongKong–Zhuhai–MacaoBridge(HZMB)project.Inimmersedtunnelfloating,translationwhichincludesstraightandtransversemovementsisthemainworkingmode.Todecidethemagnitudeanddirectionofthetowingforceforeachtug,aparticleswarm-basedtranslationcontrolmethodispresentedfornon-powerimmersedtunnelelement.Asortoflinearweightedlogarithmicfunctionisexploitedtoavoidweaksubgoals.Insimulation,theparticleswarm-basedcontrolmethodisevaluatedandcomparedwithtraditionalempiricalmethodinthecaseoftheHZMBproject.Simulationresultsshowthatthepresentedmethoddeliversperformanceimprovementintermsoftheenhancedsurplustowingforce.

简介：Inthispaper,weinvestigateflowswithmovingcontactlinesoncurvedsolidwallsonadual-resolutiongridusingadiffuse-interfaceimmersed-boundary(DIIB)method.Thedual-resolutiongrid,onwhichtheflowsaresolvedonacoarsemeshwhiletheinterfaceisresolvedonafinemesh,wasshowntosignificantlyimprovethecomputationalefficiencywhensimulatingmultiphaseflows.Ontheotherhand,theDIIBmethodisabletoresolvedynamicwettingoncurvedsubstratesonaCartesiangrid,butitusuallyrequiresameshofhighresolutioninthevicinityofamovingcontactlinetoresolvethelocalflow.Inthepresentstudy,wecoupletheDIIBmethodwiththedual-resolutiongrid,toimprovetheinterfaceresolutionforflowswithmovingcontactlinesoncurvedsolidwallsatanaffordablecost.Thedynamicbehaviorofmovingcontactlinesisvalidatedbystudyingdropspreading,andthenumericalresultssuggestthattheeffectivesliplengthλ_ncanbeapproximatedby1.9Cn,whereCnisadimensionlessmeasureofthethicknessofthediffuseinterface.Wealsoapplythemethodtodropimpactontoaconvexsubstrate,andtheresultsonthedual-resolutiongridareingoodagreementwiththoseonasingle-resolutiongrid.ItshowsthattheaxisymmetricsimulationsusingtheDIIBmethodonthedual-resolutiongridsavesnearly60%ofthecomputationaltimecomparedwiththatonasingle-resolutiongrid.