简介:Inordertoimplementlarge-scaleandhigh-betatokamaksimulation,anewalgorithmoftheelectromagneticgyrokineticPIC(particle-in-cell)codewasproposedandinstalledontheGpic-MHDcode[GyrokineticPICcodeformagnetohydrodynamic(MHD)simulation].Inthenewalgorithm,thevorticityequationandthegeneralizedOhm’slawalongthemagneticfieldarederivedfromthebasicequationsofthegyrokineticVlasov,Poisson,andAmperesystemandareusedtodescribethespatio-temporalevolutionofthefieldquantitiesoftheelectrostaticpotentialφandthelongitudinalcomponentofthevectorpotentialAz.Thebasicalgorithmisequivalenttosolvingthereduced-MHD-typeequationswithkineticcorrections,inwhichMHDphysicsrelatedtoAlfvenmodesarewelldescribed.Theestimationofperturbedelectronpressurefromparticledynamicsisdominant,whiletheeffectsofothermomentsarenegligible.Anotheradvantageofthealgorithmisthatthelongitudinalinducedelectricfield,Etz=-■z/■t,isexplicitlyestimatedbythegeneralizedOhm’slawandusedintheequationsofmotion.Furthermore,theparticlevelocitiesalongthemagneticfieldareused(vz-formulation)insteadofgeneralizedmomentums(pz-formulation),hencethereisnoproblemof’cancellation’,whichwouldotherwiseappearwhenAzisestimatedfromtheAmpere’slawinthepz-formulation.ThesuccessfulsimulationofthecollisionlessinternalkinkmodebythenewGpic-MHDwithrealisticvaluesofthelarge-scaleandhigh-betatokamaksrevealedtheusefulnessofthenewalgorithm.
简介:Magnetohydrodynamic(MHD)acceleratorisproposedasanextgenerationpropulsionsystem.Itcanbeusedtoincreasetheperformanceofapropulsionsystem.TheobjectiveofthisstudyistoinvestigatetheperformanceofMHDacceleratorusingnon-equilibriumairplasmaasworkinggas.Inthisstudy,thefundamentalperformanceofMHDacceleratorsuchasflowperformanceandelectricalperformanceisevaluatedatdifferentlevelsofappliedmagneticfieldusing1-Dnumericalsimulation.ThenumericalsimulationisdevelopedbasedonasetofdifferentialequationswithMHDapproximation.TosolvethissetofdifferentialequationstheMacCormackschemeisused.AspecifiedchanneldesignedanddevelopedatNASAMarshallSpaceFlightCentreisusedinthenumericalsimulation.Thecompositionofthesimulatedairplasmaconsistsofsevenspecies,namely,N2,N,O2,O,NO,NO+,ande-.Theperformanceofthenon-equilibriumMHDacceleratorisalsocomparedwiththeequilibriumMHDaccelerator.
简介:Non-lineardevelopmentofdoubletearingmodesinducedbyelectronviscosityisnumericallysimulated.MHDflowlayersaredemonstratedtomergeinthedevelopmentofthemodes.Theshearedflowsareshowntoliejustattheboundariesofthemagneticislands,andtohavesuffcientlevelsrequiredforinternaltransportbarrier(ITB)formation.PossiblecorrelationbetweenthelayerformationandtriggeringofexperimentallyobservedITBs,preferentiallyformedinproximitiesofrationalfluxsurfacesoflowsafetyfactors,isdiscussed.
简介:ThesolutionofGrad-Shafranovequationdeterminesthestationarybehavioroffusionplasmainsideatokamak.Tosolvetheequationitisnecessarytoknowthetoroidalcurrentdensityprofile.Recentworksshowthatitispossibletodetermineamagnetohydrodynamic(MHD)equilibriumwithreversedcurrentdensity(RCD)profilesthatpresentsmagneticislands.InthisworkweshowanalyticalMHDequilibriumwithaRCDprofileandanalyzethestructureofthevacuumvectorpotentialassociatedwiththeseequilibriausingthevirtualcasingprinciple.