A finite difference procedure for a class of free boundary problems

Journal Article · Tue Sep 01 04:00:00 EDT 1992 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1016/S0021-9991(05)80006-3· OSTI ID:7307018

Fornberg, B ^[1]; Meyer-Spasche, R ^[2]

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1. Exxon Research and Engineering Company, Annandale, NJ (United States)
2. Max-Planck-Institute for Plasma Physics, Garching (Germany)

Finite difference schemes loose accuracy when free boundaries cross over rectangular grids. For a class of second-order equations, the leading error term at such a boundary can be eliminated by a simple correction strategy. This procedure works in any number of space dimensions and offers an alternative to (more costly and complicated) adaptive grid techniques. 2 refs. 9 figs.

• OSTI ID: 7307018
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 102:1; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPUTERIZED SIMULATION
FINITE DIFFERENCE METHOD
INSTABILITY
ITERATIVE METHODS
NUMERICAL SOLUTION
PARAMETRIC INSTABILITIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
SIMULATION