Adaptive Mesh Refinement for Singular Current Sheets in Incompressible Magnetohydrodynamic Flows

✍ Scribed by Holger Friedel; Rainer Grauer; Christiane Marliani

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 364 KB
• Volume: 134
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1997.5683

✦ Synopsis

Equations ( 1) are integrated in a periodic quadratic box of length 2ȏ using adaptive mesh refinement with rectangu-

The formation of current sheets in ideal incompressible magnetohydrodynamic flows in two dimensions is studied numerically using lar grids self-adjusting to the flow. In each rectangular grid, the technique of adaptive mesh refinement. The growth of current a projection method is used where the time-stepping is density is in agreement with simple scaling assumptions. As experformed in a second-order upwind manner [8-10]. For pected, adaptive mesh refinement shows to be very efficient for the projection step, we need the vorticities Ͷ Ϯ ϭ (ٌ ϫ studying singular structures compared to nonadaptive treatz Ϯ ) и e z and potentials Ϯ which are related by ⌬ Ϯ ϭ Ͷ Ϯ . ments.