Solitary and Shock Structures Induced by Poloidal Flow in Tokamaks

概要

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It is shoxvn that solitary and shock structures can appear in tokamaks, w'laen apoloidal flow velocity becounes close to ec., w here c, is a sound velocity and c is a smallinverse aspect ratio. To describe asymptotic belvavior of tlte flow velocity v., a KdV(Kortewes de Vries)-Burgers equation witlt a sintnsoidal force terun is derived from thetwo-fluid MHD<:quatiou?s with small resistivity and parallel viscosity. A solitary flowvelocity structure appears inside of tlte torus (at tlae poloidal angle 0=n) in tlae non-dissi)cative, dispersive case. The supersonic floxv Cv.>cc,) r>aral1Cl 10 thCl POlO1d8lmagnetic field ana tlae subsonic anti-parallel now (v,<cc,) are stable. In botlt casestlte solitary density perturbation is negative. For the non-dispersive, dissipative caseor the one-fluid MHD limit the forced Buu'gen's equation becomes appropriate todescribe the noxv dynamics. This case correspottas to an appearance of shock struc=ture. By solving an initial value problem it is S1lONN'11 tlaat tlte shock position movesfrom6:0toO:mwithtltevariatiornofl - l.solitary structure, shock structure, poloidal now, tonamak, KdV equatuon,Burgers equation
社団法人日本物理学会の論文
1992-02-15