Adaptive Mesh Refinement for Singular Current Sheets in Incompressible Magnetohydrodynamic Flows

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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8 pages RevTeX, 13 Postscript figures

Scientific paper

10.1006/jcph.1997.5683

The formation of current sheets in ideal incompressible magnetohydrodynamic
flows in two dimensions is studied numerically using the technique of adaptive
mesh refinement. The growth of current density is in agreement with simple
scaling assumptions. As expected, adaptive mesh refinement shows to be very
efficient for studying singular structures compared to non-adaptive treatments.

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