简介：为解决一个维的时间检验动人的网孔方法依赖部分微分方程。微分代数学的明确的表达的介绍基于几何变量；数字途径的well-posedness的调查；某详细数字过程的讨论。

简介：Thispaperpresentsanefficientmovingmeshmethodtosolveanonlinearsingularproblemwithanoptimalcontrolconstrainedcondition.ThephysicalproblemisgovernedbyanewmodelofturbulentflowincirculartubesproposedbyLuoetal.usingPrandtl'smixing-lengththeory.Ouralgorithmisformedbyanouteriterativealgorithmforhandlingtheoptimalcontrolconditionandaninneradaptivemeshredistributionalgorithmforsolvingthesingulargoverningequations.Wediscretizethenonlinearproblembyusingaupwindingapproach,andtheresultingnonlinearequationsaresolvedbyusingtheNewton-Raphsonmethod.Themeshisgeneratedandthegridpointsaremovedbyusingthearc-lengthequidistributionprinciple.Thenumericalresultsdemonstratethatproposedalgorithmiseffectiveincapturingtheboundarylayersassociatedwiththeturbulentmodel.

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