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Solenoidal Discrete Initialization for Magnetohydrodynamics

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Rolf Jeltsch

    (ETH Zurich, Seminar for Applied Mathematics)

  • Manuel Torrilhon

    (ETH Zurich, Seminar for Applied Mathematics)

Abstract

Summary We propose a procedure to initialize the magnetic flux, possibly discontinuous, on a finite volume grid in an exactly solenoidal way. That is, a certain discrete divergence operator will vanish on each cell. Combined with a new locally divergence preserving numerical scheme we are able to conduct MHD simulations which have an exactly vanishing discrete divergence. In this paper we describe the new scheme and the initialization procedure and present the results of a simulation of a shock interaction with a magnetized cloud.

Suggested Citation

  • Rolf Jeltsch & Manuel Torrilhon, 2005. "Solenoidal Discrete Initialization for Magnetohydrodynamics," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 235-253, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-27170-3_19
    DOI: 10.1007/3-540-27170-8_19
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