摘要
AnumericalschemeisdevelopedtoextendthescopeofthespectralmethodwithoutsolvingthecovariantandcontravariantformsoftheNavier-Stokesequationsinthecurvilinearcoordinates.TheprimitivevariablesarerepresentedbytheFourierseriesandtheChebyshevpolynomialsinthecomputationalspace.Thetimeadvancementisaccomplishedbyahigh-ordertime-splittingmethod,andacorrespondinghigh-orderpressureconditionatthewallisintroducedtoreducethesplittingerror.Comparedwiththepreviouspseudo-spectralscheme,inwhichtheNavier-Stokesequationsaresolvedinthecovariantandcontravariantforms,thepresentschemereducesthecomputationalcostand,atthesametime,keepsthespectralaccuracy.Theschemeistestedinthesimulationsoftheturbulentflowinachannelwithastaticstreamwisewavywallandtheturbulentflowoveraflexiblewallundergoingthestreamwisetravelingwavemotion.Theturbulentflowoveranoscillatingdimpleisstudiedwiththepresentnumericalscheme,andtheperiodicgenerationofthevorticalstructuresisanalyzed.
出版日期
2010年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）
