A COMPUTATIONAL METHOD FOR THE NAVIER-STOKES EQUATIONS AT ALL SPEEDS-中国期刊网

摘要 APLU-SGSmethodbasedonatime-derivativepreconditioningalgorithmandLUSGSmethodisdevelopedinordertocalculatetheNavier-Stokesequationsatallspeeds.TheequationswerediscretizedusingAUSMPWschemeinconjunctionwiththethird-orderMUSCLschemewithVanLeerlimiter.ThepresentmethodwasappliedtosolvethemultidimensionalcompressibleNavier-Stokesequationsincurvilinearcoordinates.Characteristicboundaryconditionsbasedontheeigensystemofthepreconditionedequationswereemployed.Inordertoexaminetheperformanceofpresentmethod,driven-cavityflowatvariousReynoldsnumbersandviscousflowthroughaconvergent-divergentnozzleatsupersonicwereselectedtotestthismethod.Thecomputedresultswerecomparedwiththeexperimentaldataortheothernumericalresultsavailableinliteratureandgoodagreementsbetweenthemareobtained.Theresultsshowthatthepresentmethodisaccurate,self-adaptiveandstableforawiderangeofflowconditionsfromlowspeedtosupersonicflows.

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A COMPUTATIONAL METHOD FOR THE NAVIER-STOKES EQUATIONS AT ALL SPEEDS

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A COMPUTATIONAL METHOD FOR THE NAVIER-STOKES EQUATIONS AT ALL SPEEDS

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