Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

Technical Report · Sat Jul 01 04:00:00 EDT 1978

DOI:https://doi.org/10.2172/6917493· OSTI ID:6917493

Johnson, J L; Dalhed, H E; Greene, J M

Numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given. Iterative schemes are used to solve the elliptic nonlinear partial differential equation for the poloidal flux function psi. The principal emphasis is on solving the free boundary (plasma-vacuum interface) equilibrium problem where external current-carrying toroidal coils support the plasma column, but fixed boundary (e.g., conducting shell) cases are also included. The toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of psi. Examples of the application of the codes to tokamak design at PPPL are given.

• Research Organization: Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: EY-76-C-02-3073
• OSTI ID: 6917493
• Report Number(s): PPPL-1463
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
BOUNDARY CONDITIONS
CLOSED PLASMA DEVICES
COMPUTER CALCULATIONS
EQUILIBRIUM
EQUILIBRIUM PLASMA
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY
MAGNETOHYDRODYNAMICS
MECHANICS
NUMERICAL SOLUTION
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA SHEATH
THERMONUCLEAR DEVICES
TOKAMAK DEVICES