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简介：在这个工作，我们为计算在被非线性的Poisson-Boltzmann方程管理的二个同样地控告的球形的粒子之间的静电的相互作用建议一个有效数字方法。非线性的问题被一个单调解决导致线性化的方程的一个序列的反复的方法。一个修改中央有限差别计划被开发用一个一致笛卡儿的格子在一个外面的不规则的领域上解决线性化的方程。与一致格子，方法简单，并且作为后果，多，格子解答者能被采用加快集中。有在一个控告的圆柱的毛孔限制的二个孤立的范围和二个范围的盒子的数字实验用建议方法被执行。我们的数字计划被发现有效，数字结果在对以前的出版结果的好同意被发现。

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简介：WhenthePoissonmatrixofPoissonsystemisnon-constant,classicalsymplecticmethods,suchassymplecticRunge-Kuttamethod,generatingfunctionmethod,cannotpreservethePoissonstructure.Thenon-constantPoissonstructurewastransformedintothesymplecticstructurebythenonlineartransform.ArbitraryordersymplecticmethodwasappliedtothetransformedPoissonsystem.TheEulerequationofthefreerigidbodyproblemwastransformedintothesymplecticstructureandcomputedbythemid-pointscheme.Numericalresultsshowtheeffectivenessofthenonlineartransform.

简介：Wecompare13differentaposteriorierrorestimatorsforthePoissonproblemwithlowest-orderfiniteelementdiscretization.Residual-basederrorestimatorscompetewithawiderangeofaveragingestimatorsandestimatorsbasedonlocalproblems.Amongourfivebenchmarkproblemswealsolookontwoexampleswithdiscontinuousisotropicdiffusionandtheirimpactontheperformanceoftheestimators.(SupportedbyDFGResearchCenterMATHEON.)

简介：为空间地同类的Boltzmann方程的起始的价值问题被考虑。为这个问题的一个确定的数字计划被三个方法的使用开发未知功能以及碰撞积分的分解。在上这样，算法的几乎线性复杂性被完成。一些数字例子被举。[从作者抽象]

简介：AlatticeBoltzmannnumericalmodelingmethodwasdevelopedtopredictskinconcentrationaftertopicalapplicationofadrugontheskin.ThemethodisbasedonD2Q9latticespacesassociatedwiththeBhatnagar-Gross-Krook(BGK)collisiontermtosolvetheconvection-diffusionequation(CDE).Asimulationwascarriedoutindifferentrangesofthevalueofbound,whichisrelatedtoskincapillaryclearanceandthevolumeofdiffusionduringapercutaneousabsorptionprocess.Whenatypicaldrugisusedontheskin,thevalueofcorrespondstotheamountofdrugabsorbedbythebloodandtheabsorptionofthedrugaddedtotheskin.Theeffectofwasstudiedforwhentheregionofskincontactisalinesegmentontheskinsurface.

简介：格子Boltzmann方法在多相流动和化学反应中具有非常重要的意义,针对其在湍流、多孔介质流、燃烧、多孔介质燃烧中的应用进行了综述,分析了该方法在模拟这些复杂流体问题时存在的优点和缺点。分析结果表明,格子Boltzmann方法可以直观形象地对复杂流体问题进行模拟,是研究流体内部复杂变化过程的重要评价方法。

简介：AnewlatticeBoltzmannmodelforcompressibleperfectgasispro-posed.Thenumericalexampleshowsthatitcanbeusedtosimulateshockwaveandcontactdiscontinuity.Theresultsarecomparablewiththoseobtainedbytraditionalmethods.Theratioofspecificheatsγmaybechosenaccordingtotherequirementofproblems.

简介：WeconsiderdiffusivelimitoftheBoltzmannequationinaperiodicbox.WeestablishL~6estimateforthehydrodynamicpartPfofparticledistributionfunction,whichleadstouniformboundsglobalintime.

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简介：我们withasymptotically在某完全的军士合同manifolds上学习泊松方程非否定的弯曲。我们将也与非否定的弯曲在某完全的军士合同manifolds上学习nonhomogeneousheat方程的限制行为。

简介：在这笔记，泊松方程的整齐？有躺在对数函数空间Lp(LogL)的f的螖u=f一(惟)(1

简介：TheproblemofthemixedconvectioninacubiccavityisstudiedwithlatticeBoltzmannmethod.Amultiple-relaxation-timelatticeBoltzmannmodelforincompressibleflowinthecubiccavityandanotherthermallatticeBoltzmannmodelforsolvingenergy/temperatureequationareproposed.Thepresentmodelsarefirstvalidatedthroughacomparisonwithsomeavailableresults,andthen,wepresentadetailedparameterstudyonthemixedconvectioninthecubiccavity.ThenumericalresultsshowthattheHowandtemperaturepatternschangegreatlywithvariationsoftheReynoldsandRichardsonnumbers

简介：概述了国内外利用分子动力学研究流动的方法,主要介绍一种新的数值计算方法--格子Boltzmann方法.对此法的原理、模拟的模型及其在湍流流动中的应用进行了综述.分析这种方法在模拟湍流时存在的问题.为湍流流动研究者指出了一条新的途径--用分子动力学理论研究湍流流动.

简介：WederivedrevisedeffectivediffusionenergybarriersfollowingtheBoltzmanndistributionassumptionforimpurityatomsinabulkmaterialundertheimpactofvariouskindsofpointdefectstorevealtheinsightsofmigrationmechanisms.Theeffectivediffusionenergybarriersofcopperimpuritiesinbulkzirconiumwerecalculatedthroughthefirstprinciplemethodunderthepresentedhypothesis.Ourresults(?E||=1.27eV,?E⊥=1.31eV)agreedwellwiththeexperimentalresults(?E||=1.54eV,?E⊥=1.60eV),whichvalidatedbulkdiffusionasthemajormechanismforcopperdiffusioninzirconium.Theeffectivediffusionenergybarrierscouldbeusedforestimatingwhetherthedefectswillacceleratethediffusionorslowthemdownbyactingastrapsoftheimpurityatoms.Ontheotherhand,thefirstprincipleresultsoftheimpuritydiffusionviadefectscouldbefurtherusedasinputsoflargerscalecomputationalsimulations,suchasMC(MonteCarlo)orPhaseFieldcalculations.

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简介：VariationalmethodsareusedtostudythenonlinearSchrdinger-Poissontypeequationswhichmodeltheelectromagneticwavepropagatingintheplasmainphysics.ByanalyzingtheHamiltonianpropertytoconstructaconstrainedvariationalproblem,theexistenceofthegroundstateofthesystemisobtained.Furthermore,itisshownthatthegroundstateisorbitallystable.

简介：ThispaperstudiestheoperatingcharacteristicsofanM/G/1queuingsystemwitharandomizedcontrolpolicyandatmostJvacations.Afterallthecustomersareservedinthequeueexhaustively,theserverimmediatelytakesatmostJvacationsrepeatedlyuntilatleastNcustomersarewaitingforserviceinthequeueuponreturningfromavacation.IfthenumberofarrivalsdoesnotreachNbytheendoftheJ~(th)vacation,theserverremainsidleinthesystemuntilthenumberofarrivalsinthequeuereachesN.IfthenumberofcustomersinthequeueisexactlyaccumulatedNsincetheserverremainsidleorreturnsfromvacation,theserverisactivatedforserviceswithprobabilitypanddeactivatedwithprobability(1-p).Forsuchvariantvacationmodel,otherimportantsystemcharacteristicsarederived,suchastheexpectednumberofcustomers,theexpectedlengthofthebusyandidleperiod,andetc.Followingtheconstructionoftheexpectedcostfunctionperunittime,anefficientandfastprocedureisdevelopedforsearchingthejointoptimumthresholds(N~*,J~*)thatminimizethecostfunction.Somenumericalexamplesarealsopresented.

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