简介：Thispaperdescribestheuseofoverlappinggridsforthecalculationofflowaroundsingleandmultiple-particleconfigurationsatthemicroscale.ThebasicequationsforcalculationarethoseforconservationofmassandmomentumwhicharesolvedusingacommonFinite-Volumeformulation.Thehydrodynamicparticle-particleandparticle-wallinteractioncanbecalculatedbyusinganoverlappingorChimeragridscheme.Withthegridstructuringprocedureitispossibletousesimpleandstructuredgridsaroundtheparticlesandtheoverallmaingridgeometry.Theparticlegridsarelappedoverthemaingridsuchthattheycanmoveindependentlyaftereachtimestepwithoutremeshingthewholegeometry.Thepapergivesresultsforthevalidationofthecodedevelopedforgeneraltestcases,forarotatingellipsoidinsimpleshearflow,theflowaroundparticlesattachedtoawall,themotionofaparticleinthevicinityofawallandsomeresultsfortheflowthroughapackedbedconfiguration.

简介：这篇论文被奉献给非与动人的格子遵守有限元素计划的五个参数因为速度压力在2-D混合了非静止的Stokesproblem的明确的表达。我们证明这个元素有各向异性的行为并且基于一些新奇技术在速度和压力的一些某些标准导出各向异性的错误评价。特别通过我们得到的小心的分析，一致性错误评价上的有趣的结果，它从来没被看见过为混合了有限元素方法在以前文学。

简介：Themomentarystateofasemiconductordeviceisdescribedbyasystemofthreenonlinearpartialdifferentialequations.Afinitedifferenceschemeforsimulatingtransientbehaviorsofasemiconductordeviceongridswithlocalrefinementintimeandspaceisconstructedandstudied.Erroranalysisispresentedandisillustratedbynumericalexamples.

简介：Thenonstaggeredgridsareadoptedinthispaperforsolvingthegoverningequationsofflowsinthecurvilinearcoordinatesystems.Thepresentpaperdemonstratesthebasicreasonandcorrespondingeliminatingmethodforthepressureoscillation,anddeducesthecorrectedexpressionsforthecurvilinearvelocitycomponentsinwhichandadditionaltermrepresentingthedifferencebetweenthe1-δand2-δdifferencevaluesforthepressuregradientappears.Thusifanoscillatorypressurefiledwerearisen,themagnitudeofthistermwouldbelargeandwouldacttoremovetheoscillation;whereasfornonoscillatoryfieldthemagnitudeofthistermremainssmall.Asexaminationforthenumericalmethod3-Dturbulentflowinasquareductwith90°bendand3-Dturbulentmixinglowinalobed-mixerwerecalculatiedrespectively.Thenumericalresultsaresatisfactory.

简介：在这篇论文，我们在飞机为外面的传播问题涉及一个非重叠的领域分解方法(DDM)。基于自然边界积分操作员，我们把DDM与印射的Dirichlet-to-Neumann(DtN)相结合并且向数字分析提供非匹配格子。接口上的近似答案的弱连续性被一个双基础更多样地强加。我们显示出那这更多样地，空间能产生最佳的错误估计并且获得集中的相应的率。最后，几个数字例子证实理论结果。