%0 Journal Article
%T Splittingbasedschemeforthree-dimensionalMHDwithdualtimestepping
%A Fu
%A Huazheng
%A Feng
%A Xueshang
%J 空间科学学报
%P 9-17
%D 2015
%R 10.11728/cjss2015.01.009
%X AnewhybridnumericalschemeofcombininganE-CUSP(Energy-ConvectiveUpwindandSplitPressure)methodforthefluidpartandtheConstrainedTransport(CT)forthemagneticinductionpartisproposed.Inordertoavoidtheoccurrenceofnegativepressureinthereconstructedprofilesanditsupdatedvalue,apositivitypreservingmethodisprovided.Furthermore,theMHDequationsaresolvedateachphysicaltimestepbyadvancinginpseudotime.Theuseofdualtimesteppingisbeneficialinthecomputationsincetheuseofdualtimesteppingallowsthephysicaltimestepnottobelimitedbythecorrespondingvaluesinthesmallestcellandtobeselectedbasedonthenumericalaccuracycriterion.Thisnewlyestablishedhybridschemecombinedwithpositivitypreservingmethodanddualtimetechniquehasdemonstratedtheaccuratenessandrobustnessthroughnumericalexperimentsofbenchmarkproblemssuchasthe2DOrszag-Tangvortexproblemandthe3Dshock-cloudinteractionproblem.
%K Splittingbasedscheme
%K Three-dimensionalMHD
%K Dualtimestepping
%U http://www.cjss.ac.cn/CN/abstract/abstract2101.shtml