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Equilibrium and stability code for a diffuse plasma.

O Betancourt1, P Garabedian

  • 1Energy Research and Development Administration Mathematics and Computing Laboratory, New York University, New York, N.Y. 10012.

Proceedings of the National Academy of Sciences of the United States of America
|April 1, 1976
PubMed
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A new computer code analyzes plasma stability using magnetohydrodynamics and finite element methods. It determines plasma equilibrium and stability by finding minimum energy states in a 3D model.

Area of Science:

  • Computational physics
  • Plasma physics
  • Magnetohydrodynamics

Background:

  • Investigating plasma equilibrium and stability is crucial for fusion energy.
  • Previous models often used simplified sharp free boundary conditions.
  • A more generalized approach is needed for diffuse plasma behavior.

Purpose of the Study:

  • To develop and describe a novel 3D computer code for analyzing diffuse plasma equilibrium and stability.
  • To generalize existing magnetohydrodynamic variational principles for complex plasma geometries.
  • To establish a computational framework for predicting plasma stability.

Main Methods:

  • Utilized a generalized variational principle of magnetohydrodynamics.
  • Employed a mapping technique from a fixed coordinate domain to the plasma.

Related Experiment Videos

  • Applied the finite element method for discrete approximation of potential energy.
  • Minimized the discrete energy analogue using a rectangular grid.

    • Main Results:

    • The developed code successfully models toroidal plasma equilibria.
    • The method identifies stable equilibria by finding relative minima in the discrete energy analogue.
    • The approach generalizes prior work on sharp free boundary plasma models.

    Conclusions:

    • The finite element-based computational approach provides a robust method for assessing diffuse plasma stability.
    • The code offers a valuable tool for understanding complex plasma behavior in three dimensions.
    • This work advances the study of magnetohydrodynamic stability in fusion research.