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COBRA: An optimized code for fast analysis of ideal ballooning stability of three-dimensional magnetic equilibria. (English) Zbl 1006.82500
Summary: A new, fast, and accurate numerical algorithm to assess stability against ideal ballooning modes in general three-dimensional magnetic configurations of interest to controlled thermonuclear fusion is described. The code for ballooning rapid analysis (COBRA) performs this assessment by solving an eigenvalue problem in the form of a linear second-order ordinary differential equation along magnetic field lines in the configuration. An initial approximation for the eigenvalue is obtained from a fast second order matrix method. In COBRA, this approximate eigenvalue is further refined using a variational principle to obtain fourth-order convergence with the mesh size. Richardson’s extrapolation is then applied to a sequence of eigenvalues to estimate the exact eigenvalue using the coarsest possible mesh, thus minimizing the computational time.

82-08 Computational methods (statistical mechanics) (MSC2010)
82D75 Nuclear reactor theory; neutron transport
76W05 Magnetohydrodynamics and electrohydrodynamics
76M99 Basic methods in fluid mechanics
Full Text: DOI
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