Published October 1990 | Version v1
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Discretization errors at free boundaries of the Grad-Schlueter-Shafranov equation

Creators

  • 1. Association Euratom-Max-Planck-Institut fuer Plasmaphysik, Garching (Germany, F.R.)
  • 2. Max-Planck-Institut fuer Plasmaphysik, Garching (Germany, F.R.)
  • 3. Exxon Research and Engineering Co., Annandale, NJ (USA)

Description

The numerical error of standard finite-difference schemes is analyzed at free boundaries of the Grad-Schlueter-Shafranov equation of plasma physics. A simple correction strategy is devised to eliminate (to leading order) the errors which arise as the free boundary crosses the rectangular grid at irregular locations. The resulting scheme can be solved by Gauss-Newton or Inverse iterations, or by multigrid iterations. Extrapolation (from 2nd to 3rd order of accuracy) is possible for the new scheme. (orig.)

Availability note (English)

MF available from INIS under the Report Number.

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Additional details

Publishing Information

Imprint Pagination
41 p.
Report number
IPP--6/295

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
22030052
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
Descriptors DEI
BOUNDARY CONDITIONS; ELECTRIC CURRENTS; ERRORS; GRAD-SHAFRANOV EQUATION; MAGNETIC FIELDS; MHD EQUILIBRIUM; PLASMA
Descriptors DEC
CURRENTS; DIFFERENTIAL EQUATIONS; EQUATIONS; EQUILIBRIUM; PARTIAL DIFFERENTIAL EQUATIONS