VMOMS: a computer code for finding moment solutions to the Grad-Shafranov equation

Technical Report · Mon Feb 01 04:00:00 EST 1982

DOI:https://doi.org/10.2172/5256931· OSTI ID:5256931

Lao, L. L.; Wieland, R. M.; Houlberg, W. A.; Hirshman, S. P.

A code VMOMS is described which finds approximate solutions to the Grad-Shafranov equation describing scalar pressure-balance equilibria for axisymmetric tokamak plasmas. A Fourier series expansion of the flux surface coordinates (R,Z) is made in terms of two new coordinates (rho, theta), and the resulting equation is conveniently reduced to a system of ordinary differential equations (ODE's) using a variational principle. The solution of these simple equations with pressure and current as driving functions, yields, in principle, a complete description of the equilibrium. Complete axisymmetry is assumed, as well as up-down symmetry about the toroidal midplane.

• Research Organization: Oak Ridge National Lab., TN (USA)
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 5256931
• Report Number(s): ORNL/TM-7871; ON: DE82008142
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
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ANALYTICAL SOLUTION
CLOSED PLASMA DEVICES
COMPUTER CODES
ENERGY BALANCE
EQUILIBRIUM PLASMA
MAGNETIC FIELD CONFIGURATIONS
PLASMA
PLASMA PRESSURE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TWO-DIMENSIONAL CALCULATIONS
V CODES
VARIATIONAL METHODS