Numerical solution of three-dimensional magnetic differential equations

Journal Article · Fri Apr 01 04:00:00 EST 1988 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(88)90121-0· OSTI ID:5267605

Reiman, A H; Greenside, H S

A computer code is described that solves differential equations of the form B x delf = h for a single-valued solution f, given a toroidal three-dimensional divergence-free field B and a single-valued function h. The code uses a new algorithm that Fourier decomposes a given function in a set of flux coordinates in which the field lines are straight. The algorithm automatically adjusts the required integration lengths to compensate for proximity to low order rational surfaces. Applying this algorithm to the Cartesian coordinates defines a transformation to magnetic coordinates, in which the magnetic differential equation can be accurately solved. Our method is illustrated by calculating the Pfirsch--Schlueter currents for a stellarator. copyright 1988 Academic Press, Inc.

• Research Organization: Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08544
• OSTI ID: 5267605
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 75:2; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640430* -- Fluid Physics-- Magnetohydrodynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
CLOSED PLASMA DEVICES
COMPUTER CODES
FLUID MECHANICS
FOURIER TRANSFORMATION
HYDRODYNAMICS
INTEGRAL TRANSFORMATIONS
MAGNETOHYDRODYNAMICS
MATHEMATICAL LOGIC
MECHANICS
NUMERICAL SOLUTION
PFIRSCH-SCHLUETER REGIME
STELLARATORS
THERMONUCLEAR DEVICES
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS