Six Convective Difference Schemes on Different Grid Systems for Fluid and Heat Transfer with SIMPLE Algorithm

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摘要 Performancecomparisonsarecomposedoftwoparts:thefirstpartcontainsthesystematicallyinvestigationofsixdifferenceschemesincludingCDS,FUDS,HDS,PLDS,SUDSandQUICKforconvectiontermsinnumericalfluidflowandheattransferbasedonthefinitevolumemethodusingstaggeredandRhie-Chow'smomentuminterpolationcollocatedgrids,thesecondpartcontainsthecomparativecomputationsbeingconductedonRhie-Chow'smomentuminterpolationcollocatedgridandThiart'sfinitedifferenceschemebasednonstaggeredgrid.Three3-Dcasesthathaveanalyticalorbechmarksolutionsareadopted.FortheFirstpart,theresultsofcomputationsindicatethat,allthesixschemeshavethesamenumericalaccuracywhenthediffusiontermisredominant,Withtheincreaseofconvection,theFUDS,HDSandPLDSalmosthavethesameaccuracyintwoofthosegridsystems,whiletheSUDSandQUICKhavehigheraccuracythantheformer,TheaccuracyofCDSissomethinginbetween,Forthesamunder-relaxationfactorsandconvergencecriterion,theconvergencerateofeachschemeonthosetwogridsystemsarenearlbyequalwiththatonthestaggeredgridbeingalittlebitfaster.ForQUICKandCDS,smooth,non-oscillatingsolutionscanbeobtaninedgridbeingalittlebitfaster,ForQUICKandCDS,smooth,non-oscillatingsolutionscanbeobtainedevenwhenlocalPecletnumbermaybeaslargeas31.2-31.3,Forthesecondpart,itisconcludedthatsimplifiedcollocatedgridsystemispreferablefromnumericalaccuracy,gridPecletnumberlimit,sensitivitytotheunderrelaxationfactorandthefreedominchoosingfinitedifferenceschemeforconvectionterm.
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出版日期 1999年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)