各向异性密度流模型及其验证陆俊卿

陆俊卿1,张小峰2,崔占峰3(11,510655;21,430072;31,430010):,k-E,RNG,,,RNG,,,,:;;;:X143:A:1001-6791(2010)01-0095-06:2008-11-06:(50909047):(1979-),,,,,E-mai:llujunqing@scies1org,,,k-E,[1]k-E[2-3],,k-E,Rodi,k-E[3]YakhotOrszagRNGk-E,,,[4-10]RabbitMompeanRNGk-E,,k-E[4-5]RNGk-E1RNGk-E,,,k-Ek-Ek-E,RNGk-EEC1ESij,RNGk-EC1E,RNGk-E[10]RNGk-E,RNGk-E:-uiuj=-23kDij+k1/2lŠDij+CDl2ŠDimŠDmj-13ŠDmnŠDmnDij+CEl2‹Dij-13‹DmnDij(1)uiuj;k;E;l,l=2vt/k1/2;‹Dij21120101ADVANCESINWATERSCIENCEVol121,No11Jan.,2010,DijOldroyd,‹Dij=5Dij5t+Uk5Dij5xk-5Ui5xkDij-5Uj5xkDki;CD,CECD=CE=1168,k-E,[11](TDMA),SIMPLEC,(ADI)10-5,,[12]2Johnson,[13-14]211Johnson24139m,013m0191m,611m,,013m0191m,0191m18129m0161m121144e,16167e0115m,0115m,0100063m3/s212,62@26@68(@@),()014m,0104m,0101~0102m2:0100063m3/s,16167e,0,0,0:0,21144e:50min,2s331134RNGk-E(t=2min6min12min20min)9621,,,t=2min,,,,t=20min,,,,;,,,971,:,,,,,,,t=20min,2110e,,,,,,,,,,,312Johnson11143m,,[15]Johnson,,LARM[14]KarpikLARM,,,LAHM[16]511min11143m,,,RSM,,,,6t=1416min,t=2516min1914eRSM,116min,,214min,510min,,RSM,t=2516min1914e,1914et=4010min,t=50min,1916e,4RNGk-E,Johnson,,RNG,9821,,,,,:[1].[J]1,2001,12(3):403-4111(HUAZu-lin1Applicationofthetur-bulencemodeltoenvironmentalhydraulicsproblem[J]1AdvancesinWaterScience,2001,12(3):403-4111(inChinese))[2],,,.[J]1,2003(7):7-111(DENGYun,LIJia,LUOLin,etat1Temperaturepredictionmodelforreservoirs[J]1JournalofHydraulicEngineering,2003(7):7-111(inChinese))[3]RODIW1Turbulencemodelforenvironmentalproblems[C]//PredictionMethodsforTurbulentFlows1Kollmann:HemispherePub-lishingCooperation,1980:260-3491[4]RABBITMJ1Somevalidationofstandard,modifiedandnon-lineark-Eturbulencemodels[J]1IntJNumerMethodsFluids,1997,24:965-9861[5]MOMPEANG1Numericalsimulationofaturbulentflowneararight-angledcornerusingtheSpezialenon-linearmodelwithRNG-equations[J]1ComputFluids,1998,27(7):847-8591[6]TUTARM,HOLDAE1Computationmodelingofflowaroundacircularcylinderinsub-criticalflowregimewithturbulencemodels[J]1IntJNumerMethodsFluids,2001,35:763-7841[7],,.[J]1:A,2008,23(1):33-411(CUIZhan-feng,ZHANGXiao-feng,FENGXiao-xiang1Numericalsimulationonscouraroundspur-dikeby3Dturbulentmodel[J]1JournalofHydrodynamics:SerA,2008,23(1):33-411(inChinese))[8],,.[J]1,2008,19(2):238-2441(JIAOA-iping,LIUPe-iqing,LIUXian-liang1Studyonenergydissipationoftwo-jetwithvaryingdischargeratioonaplungepoolbasedoncomputationalfluiddanamics[J]1AdvancesinWaterScience,2008,19(2):238-2441(inChinese))[9],,,.[J]1,2008,19(1):89-931(YINZe-gao,SHIBing,ZHAOLin,etal1Numericalsimulationofplugenergydissipaterflow[J]1AdvancesinWaterScience,2008,19(1):89-931(inCh-inese))[10],.RNG[J]1,2004,15(6):760-7641(YANGZhong-hua,HUAIWen-xin1SimulationthenegativelybuoyantjetinstraticambientbyRNGturbulencemodel[J]1AdvancesinWaterScience,2004,15(6):760-7641(inChinese))[11]SPEZIALECG1OnNonlinearandmodelsofturbulence[J]1JFluidMech,1987,176:459-4751[12].[M]1:,1988:194-2541(TAOWen-quan1Numericalheattransfer[M]1Xi.an:Xi.anJiaotongUniversityPress,1988:194-2541(inChinese))[13]JOHNSONBH1Areviewofmultidimensionalreservoirhydrodynamicmodeling[C]//ProcoftheSymponSurfaceWaterImpound-ments1[s1l1]:ASCE,1980:497-5071[14]JOHNSONBH1Areviewofnumericalreservoirhydrodynamicmodeling[R]1Vicksburg:USArmyEngrWaterwaysExperimentStation,19811[15].[D]1:,2003:46-641(DENGYun1Studyonthewatertemperaturepredic-tionmodelforthehugeanddeepreservoir[D]1Chengdu:SichuangUniversity,2003:46-641(inChinese))[16]KARPIKSR,RAITHBYGD1Laterallyaveragedhydrodynamicsmodelforreservoirpredictions[J]1JournalofHydraulicEng-ineering,1990,116(6):783-7981991,:Ananisotropicbuoyantturbulencemodelanditsvalidation*LUJun-qing1,ZHANGXiao-feng2,CUIZhan-feng3(11SouthChinaInstituteofEnvironmentalScience,Guangzhou510655,China;21StateKeyLaboratoryofWaterResourceandHydropowerEngineeringScience,Wuhanuniversity,Wuhan430072,China;31YangtzeRiverScientificResearchInstitute,Wuhan430010,China)Abstract:A3DnumericalmodelcombiningtheRe-NormalizationGroup(RNG)k-Eturbulentmode,lthebuoyantcorrectionandthenon-linearReynoldstressmodelisdevelopedtosimulatedensitycurren,tandsuitableforsolvingtheanisotropicflowproblems1Theevolutionofthedensitycurrentformedbytemperaturevarianceinreservoirsissim-ulatedbythemodel1Thesimulatedvelocitydistributionandtemperaturevariationarecomparedwellwiththeobserva-tions1Theresultindicatesthatthemodelcancapturethenonistropicalcharacteristicsofthedensitycurrenteffective-ly,simulatetheexactflowfieldaswellasthetemperaturedistributionaccurately,andpredictthetimeintervalbe-tweenthedensitycurrentcsstratificationanddivingprocessprecisely1Keywords:numericalsimulation;densitycurren;tanisotropic;turbulencemodel562009,56,,564918,/0/0/0,,,,5656,,()8632013,23,,,,,()10021*ThestudyisfinanciallysupportedbytheNationalNaturalScienceFoundationofChina(No150909047)1