非线性对流扩散系统和微尺度流动介观数值模型

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1、AThesisSubmittedinPartialFulfillmentoftheRequirementsfortheDegreeofDoctorofPhilosophyinEngineeringMesoscopicnumericalmodelsfornonlinearconvection-diffusionsystemandmicroscalefluidflowPh.D.Candidate:YuXiaomeiMajor:ThermalEnergyEngineeringSupervisor:Prof.ShiBaochangCo-Supervisor:Prof.GuoZhaoliHu

2、azhongUniversityofScience&TechnologyWuhan430074,P.R.ChinaJune,2012Õ5(²<(²¤¥ÆØ©´·<3e?1ïÄó9ïĤ"·¤§Ø©¥®
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5、{§E3õ¯k)û"3÷*ºÝ5é6A*ѯþ§LBM3Ä.ï!.nØ©Û±9äé6*ѯA^þ§Ñk?Úu"3ºÝí6¯þ§0*ê.LBMÚGKSÑ?u&¢ã§nØÚ.ïÄÑ©"y"©´Äu±þA¡m'ïħ*LBM)5é6*ÑXÚ'.ÚnاuÄuºÝ6ÄLBMnØ©Û§ïÄ^uºÝ6ÄGKS."Ø©Ìó)±eü¡µ35é6*ѯþµ£1¤Ñ2ÂBurgers§fBoltzmann.§T.Ñ5é6*ÑLatticeBoltzmann(LB).é¯ü§ØU*p¯Øv¶£2¤é2ÂBur

6、gers§fBoltzmann.?1½5©Û¶£3¤òé6*ÑLB.*?nò¯§LBMéò´©§Hopf©

7、1Ǒ±5¯¶£4¤ï)¹*ÑAV*Ñg,é6LB.§^LB.[V*Ñg,é6¥DÑA"3ºÝ6Ä¡µ£1¤/ÏõºÝm{§ÑlÑÝBoltzmann§(DVE)ÚfBoltzmann§(LBE)pÄåÆ1Ǒ"âØÓ0*Boltzmann.pÄåÆ1Ǒ'±9fBoltzmann.pÄåƧnØ©Û§*¿fBoltzmann{A^uºÝ6ÄÄ:nضÑfBoltzmann{[ºÝ6ÄØv5Ú.U

8、?"£2¤©Ûõ§ÝGKS.éA÷*§½5¶£3¤ê¢yõ§ÝGKS.{§Äuõ§ÝGKS.[w£«n66į"'µ5é6*ѶºÝ6ĶfBoltzmann{¶õ§ÝGKS.Iu¥EÆƬÆØ©AbstractFluidflowcanbecontributedtomacroscaleandmicroscaleflowbasedonthechar-acteristiclengthscaleofthesystem.Theyappeartobecomplexandnonlinear.More-over§Microscopicflowhassomedistinguish

9、edappearancescomparedtomacroscopicflow.Recently,owntotheirkineticbackground,thelatticeBoltzmannmethod(LBM)andGas-kineticmethodhavebeenappliedtomacroscopicandmicroscopicfluidflow,andhaveachievedbigsuccess.However,itisalsoobservedthatLBMandGKSstillhavemanypro