低雷諾數(shù)下不可壓磁流體力學(xué)方程組的四階緊致差分方法.pdf

1、寧夏大學(xué)碩士學(xué)位論文低雷諾數(shù)下不可壓磁流體力學(xué)方程組的四階緊致差分方法姓名：莊昕申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)教師：葛永斌201105寧夏大學(xué)碩士學(xué)位論文英文摘要IIAbstractMagohydrodynamics(MHD)isthebranchoffluiddynamics，theMHDequationstakeanimptantpartinthenumericalsimulationsofcomputationalfluid

2、dynamicsLookingfaccuratestablenumericalmethodisamaintargetfmanyresearchersNowadays，numericalmethod，especiallyhighdermethodfMHDequationshasnotbeenstudiedtothesameextendasNavierStokes(NS)becauseofthecomplexityofproblemsThu

3、s，inthispaper，thecurrentdensityvticitystreamfunctionsfmulationftwodimensionalincompressibleMHDequationsisusedcrespondingnumericalmethodisdevelopedThispaperpresentsnumericalsimulationsofincompressiblefluidflowsinthepresen

4、ceofamagicfieldatlowReynoldsnumberTheequationsgoverningtheflowaretheNSequationsoffluidmotioncoupledwithMaxwell’sequationsofelectromagicsThestudyoffluidflowsundertheinfluenceofamagicfieldelectricfieldsisknownasMHDTheMHDap

5、proximationisconsideredfthefmulationofthenondimensionalproblemftheacterizationofsimilarityparametersFirstlyThroughthetwodimensionalprimitivevariableMHDequations，wecangetthecurrentdensityvticitystreamfunctionMHDequationsw

6、hichhavelessvariablesThenweproposefourthdercompactdifferenceschemesfsolvingtwodimensionaltimedependentincompressiblecurrentdensityvticitystreamfunctionMHDequationsSecondly，indertoprovetheaccuracyreliabilityofthehighderco

7、mpactdifferencemethodinthispaper，wegivetwonumericalexperimentswithexactsolutionstothetwodimensionaltimedependentincompressibleMHDequationswithinitialboundaryconditionsAtlast，wegivenumericalsimulationsoftheflowinasquaredr