Analytical solutions to the Grad–Shafranov equation for tokamak equilibrium with dissimilar source functions

作者: P. J. Mc Carthy

DOI: 10.1063/1.873630

关键词: MagnetohydrodynamicsGrad–Shafranov equationAtmospheric-pressure plasmaNuclear fusionTokamakMechanicsPhysicsExact solutions in general relativityASDEX UpgradeClassical mechanicsDivertor

摘要: Exact solutions to the Grad–Shafranov equation for ideal magnetohydrodynamic (MHD) tokamak equilibria with dissimilar functional dependences of the pressure and poloidal current …

参考文章(10)
B. B. Kadomtsev, Reviews of Plasma Physics ,(2012)
S. B. Zheng, A. J. Wootton, Emilia R. Solano, Analytical tokamak equilibrium for shaped plasmas Physics of Plasmas. ,vol. 3, pp. 1176- 1178 ,(1996) , 10.1063/1.871772
K. Lackner, Computation of ideal MHD equilibria Computer Physics Communications. ,vol. 12, pp. 33- 44 ,(1976) , 10.1016/0010-4655(76)90008-4
J. P. Freidberg, Ideal magnetohydrodynamic theory of magnetic fusion systems Reviews of Modern Physics. ,vol. 54, pp. 801- 902 ,(1982) , 10.1103/REVMODPHYS.54.801
Semyon V. Tsynkov, Numerical solution of problems on unbounded domains. a review Applied Numerical Mathematics. ,vol. 27, pp. 465- 532 ,(1998) , 10.1016/S0168-9274(98)00025-7
Donald G. Watts, Douglas M. Bates, Nonlinear Regression Analysis and Its Applications ,(1988)
L.L. Lao, H. St. John, R.D. Stambaugh, A.G. Kellman, W. Pfeiffer, Reconstruction of current profile parameters and plasma shapes in tokamaks Nuclear Fusion. ,vol. 25, pp. 1611- 1622 ,(1985) , 10.1088/0029-5515/25/11/007
Donald A. McQuarrie, Handbook of Mathematical Functions American Journal of Physics. ,vol. 34, pp. 177- 177 ,(1966) , 10.1119/1.1972842
L. De Menna, Exact solutions of the axisymmetric plasma equilibrium equation Nuclear Fusion. ,vol. 17, pp. 443- 450 ,(1977) , 10.1088/0029-5515/17/3/006