Galerkin approximations for dissipative magnetohydrodynamics

Details Galerkin approximations for dissipative magnetohydrodynamics Galerkin approximations for dissipative magnetohydrodynamics

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrva..42.6158c&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 42, Nov. 15, 1990, p. 6158-6165.

Statistics

Computation

23

Energy Dissipation, Galerkin Method, Magnetohydrodynamics, Boundary Conditions, Eigenvalues, Lorentz Force, Magnetic Fields, Velocity Distribution

Scientific paper

A Galerkin approximation scheme is proposed for voltage-driven, dissipative magnetohydrodynamics. The trial functions are exact eigenfunctions of the linearized continuum equations and represent helical deformations of the axisymmetric, zero-flow, driven steady state. The lowest nontrivial truncation is explored: one axisymmetric trial function and one helical trial function each for the magnetic and velocity fields. The system resembles the Lorenz approximation to Benard convection, but in the region of believed applicability, its dynamical behavior is rather different, including relaxation to a helically deformed state similar to those that have emerged in the much higher resolution computations of Dahlburg et al.

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