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Splittingbasedschemeforthree-dimensionalMHDwithdualtimestepping

DOI: 10.11728/cjss2015.01.009, PP. 9-17

Keywords: Splittingbasedscheme,Three-dimensionalMHD,Dualtimestepping

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Abstract:

AnewhybridnumericalschemeofcombininganE-CUSP(Energy-ConvectiveUpwindandSplitPressure)methodforthefluidpartandtheConstrainedTransport(CT)forthemagneticinductionpartisproposed.Inordertoavoidtheoccurrenceofnegativepressureinthereconstructedprofilesanditsupdatedvalue,apositivitypreservingmethodisprovided.Furthermore,theMHDequationsaresolvedateachphysicaltimestepbyadvancinginpseudotime.Theuseofdualtimesteppingisbeneficialinthecomputationsincetheuseofdualtimesteppingallowsthephysicaltimestepnottobelimitedbythecorrespondingvaluesinthesmallestcellandtobeselectedbasedonthenumericalaccuracycriterion.Thisnewlyestablishedhybridschemecombinedwithpositivitypreservingmethodanddualtimetechniquehasdemonstratedtheaccuratenessandrobustnessthroughnumericalexperimentsofbenchmarkproblemssuchasthe2DOrszag-Tangvortexproblemandthe3Dshock-cloudinteractionproblem.

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