%0 Journal Article
%T ACLASSOFTWO-STEPTVDMACCORMACKTYPENUMERICALSCHEMEFORMHDEQUATIONS
%A FENG
%A Xueshang
%A WEI
%A Fengsi
%A ZHONG
%A Dingkun
%J 空间科学学报
%P 401-412
%D 2003
%X Inthispaper,anewnumericalschemeofTotalVariationDiminishing(TVD)MacCormacktypeforMagnetoHydroDynamic(MHD)equationsisproposedbytakingintoaccountofthecharacteristicssuchasconvergence,stability,resolution.ThisnewschemeisestablishedbysolvingtheMHDequationswithaTVDmodifiedMacCormackschemeforthepurposeofdevelopingaschemeofquickconvergenceaswellasofTVDproperty.Toshowthevalidation,simplicityandpracticabilityoftheschemeformodellingMHDproblems,aself-similarCauchyproblemwiththediscontinuousinitialdataconsistingofconstantstates,andthecollisionoftwofastMHDshocks,andtwo-dimensionalOrszagandTang'sMHDvortexproblemarediscussedwiththenumericalresultsconformingtotheexistingresultsobtainedbytheRoetypeTVD,thehigh-orderGodunovscheme,andWeightedEssentiallyNon-Oscillatory(WENO)scheme.Thenumericaltestsshowthatthistwo-stepTVDMacCormacknumericalschemeforMHDsystemisofrobustoperationinthepresenceofverystrongwaves,thinshockfronts,thincontactandslipsurfacediscontinuities.
%K TwostepTVDMacCormackscheme
%K MHDnumericalsimulation
%U http://www.cjss.ac.cn/CN/abstract/abstract1380.shtml