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

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.