RESISTIVE MHD EQUATIONS FOR TOKAMAKS WITH ARBITRARY B AND CROSS-SECTION
The complete set of hydromagnetic equations is transformed into potential form appropriate for numerical solution in toroidal geometry. The magnetic quantities are described by the evolution equations for the poloidal and toroidal flux densities and a gauge variable; in order to reconstruct the poloidal vector potential with a certain boundary condition one has to solve two Poisson equations at every time step. A similar decomposition of the momentum balance equation is also obtained, leading to two additional Poisson equations for fluid potentials. Finally, the scaling laws previously used for the case of small toroidicity are found to require an artificial pressure law; the conclusion is then that up to now the nonlinear time-dependent hydromagnetic equations have not yet been properly solved in toroidal geometry.
Bibliographic Reference: 1984 INTERNATIONAL CONFERENCE ON PLASMA PHYSICS, LAUSANNE (SWITZERLAND), JUNE 27-JULY 3, 1984 VOL. I, PP. 177-188 EUR 9708 EN (1985), FS, VOL. I AND VOL. II, 1155 P., BFR 3500 (BOTH VOLUMES), EUROFFICE, LUXEMBOURG, POB 1003
Record Number: 1989124055300 / Last updated on: 1987-01-01
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