可壓縮流體計算中的浸入邊界方法及其應用.pdf

1、南京航空航天大學博士學位論文可壓縮流體計算中的浸入邊界方法及其應用姓名：劉劍明申請學位級別：博士專業(yè)：流體力學指導教師：趙寧201004可壓縮流體計算中的浸入邊界方法及其應用IIAbstractIntheresearchofsimulationfcomplexfluidoneofpopularnumericalalgithmsissocalledImmersedBoundaryMethod(IBM)whichcanovercomethe

2、gridgenerationdifficultiesreducethedifficultiesftreatmentofmultiscalegeometrysimplifytheprocessofmovingobjectsimulationenhancethereusabilityoftraditionalbodyfittedgridCFDcode.Fthereasonofconcerningwiththesimulationsofcom

3、pressibleflowtheresearchofthiskindofmethodmainlyfocusesonconstructingimmersedboundaryconditionsfcompressibleflowreconstructingtheimmersedboundaryadaptivegridrefinementtechniqueIBMusingnonCartesiangridssuchastheIBMfunstru

4、cturedgridssimulationofhighReynoldsnumberflownumericalmethodfmovingobjectssoon.InthispaperghostcellIBMonadaptiveCartesiangridshasbeendeveloped.IndertoincreasetheaccuracyneartheboundaryaradialbasisfunctionbasedIBMfcompres

5、sibleNavierStokesequationshasbeenpresented.ToovercomethelowcomputingefficiencyofoverallCartesiangridsanIBMbasedonunstructuredgirdsfinitevolumemethodhasalsobeengiven.FevermeIBMbasedonunstructuredgirdsfinitevolumemethodhas

6、beenusedtostudyaflowcontrolproblem.FinallyaclassofghostcellIBMfmovingobjectshasbeenstudied.Itprimarilyconcernsfivefollowingaspects:FirstlyusingadaptiveCartesiangridtechniquethesimplifiedprocessfthetreatmentofimmersedboun

7、darycombinedwithfinitedifferenceschemewithHLLCnumericalfluxwestudiedallkindsofimmersedboundarymethods.Themethoddevelopedherehasbeenusedtosimulateanalysediverse2D3Dflows.SecondlybasedontheradialbasisfunctionsanewIBMfcompr

8、essibleNavierStokesequationshasbeenpresented.ThenumericalcalculationsareperfmedonanonunifmCartesiangrid.anonunifmgridfinitedifferenceschemewithMUSCLmethodisdiscussed.Thirdlyindertoobtaintheflowactersofsmallscalepartonthe

9、constructionsimplifythedifficultiesofgridgenerationsimprovethereusabilityoftraditionalbodyfittedgridCFDcodeinthispaperanIBMbasedonunstructuredgirdsfinitevolumemethoddifferentfromanyotherCartesiangridIBMshasbeenpresented.