Semi-implicit magnetohydrodynamic calculations

Journal Article · Mon Jun 01 00:00:00 EDT 1987 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(87)90186-0· OSTI ID:6604224

Schnack, D D; Barnes, D C; Mikic, Z; Harned, D S; Caramana, E J

A semi-implicit algorithm for the solution of the nonlinear, three-dimensional, resistive MHD equations in cylindrical geometry is presented. The specific model assumes uniform density and pressure, although this is not a restriction of the method. The spatial approximation employs finite differences in the radial coordinate, and the pseudo-spectral algorithm in the periodic poloidal and axial coordinates. A leapfrog algorithm is used to advance wave-like terms; advective terms are treated with a simple predictor--corrector method. The semi-implicit term is introduced as a simple modification to the momentum equation. Dissipation is treated implicitly. The resulting algorithm is unconditionally stable with respect to normal modes. A general discussion of the semi-implicit method is given, and specific forms of the semi-implicit operator are compared in physically relevant test cases. Long-time simulations are presented. copyright 1987 Academic Press, Inc.

• Research Organization: Applied Plasma Physics and Technology Division, Science Applications International Corporation, La Jolla, California 92038
• OSTI ID: 6604224
• Journal Information: J. Comput. Phys.; (United States), Vol. 70:2
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
MAGNETOHYDRODYNAMICS
ALGORITHMS
NONLINEAR PROBLEMS
ALFVEN WAVES
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
INSTABILITY GROWTH RATES
MAGNETIC FIELDS
THREE-DIMENSIONAL CALCULATIONS
FLUID MECHANICS
HYDRODYNAMICS
HYDROMAGNETIC WAVES
MATHEMATICAL LOGIC
MECHANICS
SIMULATION
640430* - Fluid Physics- Magnetohydrodynamics