|
|
空间科学学报 2006
A3rdOrderWENOGLM-MHDSchemeforMagneticReconnection, PP. 1-7 Keywords: WENOscheme,MHDnumericalsimulation,Orszag-Tangvortex,Magneticreconnection Abstract: Anewnumericalschemeof3rdorderWeightedEssentiallyNon-Oscillatory(WENO)typefor2.5DmixedGLM-MHDinCartesiancoordinatesisproposed.TheMHDequationsaremodifiedbycombiningtheargumentsasbyDellarandDedneretaltocouplethedivergenceconstraintwiththeevolutionequationsusingaGeneralizedLagrangeMultiplier(GLM).Moreover,themagnetohydrodynamicpartoftheGLM-MHDsystemisstillinconservationform.Meanwhile,thismethodisveryeasytoaddtoanexistingcodesincetheunderlyingMHDsolverdoesnothavetobemodified.ToshowthevalidationandcapacityofitsapplicationtoMHDproblemmodelling,interactionbetweenamagnetosonicshockandadensercloudandmagneticreconnectionproblemsareusedtoverifythisnewMHDcode.Thenumericaltestsfor2DOrszagandTang'sMHDvortex,interactionbetweenamagnetosonicshockandadensercloudandmagneticreconnectionproblemsshowthatthethirdorderWENOMHDsolversarerobustandyieldreliableresultsbythenewmixedGLMorthemixedEGLMcorrectionhereevenifitcannotbeshownthathowthedivergenceerrorsaretransportedaswellasdampedasdoneforonedimensionalidealMHDbyDedneretal.
|
