简介：Severalquadrilateralshaperegularmeshconditionscommonlyusedinthefiniteelementmethodareproventobeequivalent.Theirinfluenceonthefiniteelementinterpolationerrorandtheconsistencyerrorcommittedbynonconformingfiniteelementsareinvestigated.TheeffectoftheBi-SectionConditionanditsextendedversion(1+α)-SectionConditiononthedegeneratemeshconditionsisalsochecked.ThenecessityoftheBi-SectionConditioninfiniteelementsisunderpinnedbymeansofcounterexamples.

简介：不同液体的混乱混合生产旋绕的结构到分开这些液体的接口。为能溶合的液体(是这里考虑了)，这个接口被定义为50%集体集中isosurface。为导致的冲击波(Richtmyer-Meshkov)不稳定性，我们发现接口当计算网孔被精制，逐渐地复杂。如果Kolmogorov规模相对网孔是小的，这界面的混乱被粘性，或由计算网孔割掉。在集成的接口统计的政体，我们然后检验混合，即集中统计，由质量调整了散开。为比统一显著地大的Schmidt数字，典型地代表液体或稠密的血浆，另外的网孔精炼通常被需要克服数字集体散开并且完成混合问题的一个集成的答案。然而，与前面追踪的利益并且与一个算法，那允许有限接口散开，我们能在Schmidt数字一致地保证集中。我们证明不同答案源于Schmidt数字的变化。我们建议潜水艇格子粘性和可能在现实主义的格子层次允许集成的答案的集体散开parameterizations。

简介：Solution-drivenmeshadaptationisbecomingquitepopularforspatialerrorcontrolinthenumericalsimulationofcomplexcomputationalphysicsapplications,suchasclimatemodeling.Typically,spatialadaptationisachievedbyelementsubdivision(hadaptation)withaprimarygoalofresolvingthelocallengthscalesofinterest.Asec-ond,less-popularmethodofspatialadaptivityiscalled'meshmotion'(radaptation);thesmoothrepositioningofmeshnodepointsaimedatresizingexistingelementstocapturethelocallengthscales.Thispaperproposesanadaptationmethodbasedonacombinationofbothelementsubdivisionandnodepointrepositioning(rhadaptation).Bycombiningthesetwomethodsusingthenotionofamobilityfunction,theproposedapproachseekstoincreasetheflexibilityandextensibilityofmeshmotionalgorithmswhileprovidingasomewhatsmoothertransitionbetweenrefinedregionsthanispro-ducedbyelementsubdivisionalone.Further,inanattempttosupporttherequirementsofaverygeneralclassofclimatesimulationapplications,theproposedmethodisde-signedtoaccommodateunstructured,polygonalmeshtopologiesinadditiontothemostpopularmeshtypes.

简介：我们在解决高原网孔问题分析三通常使用的精力功能，也就是说Dirichlet，区域，和分离吝啬的弯曲(直接数字控制)。他们都与其它相比拥有唯一的优点，但是他们的缺点个别地限制他们的用法。我们的算法一起联合三步充分利用他们的特征。起初，Dirichlet精力与更好的拓扑学为更快的近似被优化。然后，区域精力被用来接近抑制领域。最后，DMC精力订婚完成更好收敛的步。结果证明我们的方法能在一个相当吵闹的起始的网孔下面工作，它与最后的结果甚至拓扑地不同。

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简介：AnewapproachfortreatingthemeshwithLagrangianschemeoffinitevolumemethodispresented.IthasbeenprovedthatclassicalLagrangianmethodisdifficulttocopewithlargedeformationintrackingmaterialparticlesduetoseveredistortionofcells,andthechangingconnectivityofthemeshseemsespeciallyattractiveforsolvingsuchissues.Themeshwithlargedeformationbasedoncomputationalgeometryisoptimizedbyusingnewmethod.Thispaperdevelopsaprocessingsystemforarbitrarypolygonalunstructuredgrid,theintelligentvariablegridneighborhoodtechnologiesisutilizedtoimprovethequalityofmeshincalculationprocess,andarbitrarypolygonalmeshisusedintheLagrangianfinitevolumescheme.Theperformanceofthenewmethodisdemonstratedthroughseriesofnumericalexamples,andthesimulationcapabilityisefficientlypresentedincopingwiththesystemswithlargedeformations.