摘要
Thispaperpresentsanefficientmovingmeshmethodtosolveanonlinearsingularproblemwithanoptimalcontrolconstrainedcondition.ThephysicalproblemisgovernedbyanewmodelofturbulentflowincirculartubesproposedbyLuoetal.usingPrandtl'smixing-lengththeory.Ouralgorithmisformedbyanouteriterativealgorithmforhandlingtheoptimalcontrolconditionandaninneradaptivemeshredistributionalgorithmforsolvingthesingulargoverningequations.Wediscretizethenonlinearproblembyusingaupwindingapproach,andtheresultingnonlinearequationsaresolvedbyusingtheNewton-Raphsonmethod.Themeshisgeneratedandthegridpointsaremovedbyusingthearc-lengthequidistributionprinciple.Thenumericalresultsdemonstratethatproposedalgorithmiseffectiveincapturingtheboundarylayersassociatedwiththeturbulentmodel.
出版日期
2009年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
