Astronomy and Astrophysics – Astrophysics – Instrumentation and Methods for Astrophysics
Scientific paper
2010-09-04
Astronomy and Astrophysics
Astrophysics
Instrumentation and Methods for Astrophysics
Accepted for publication in PASJ. 8 pages, 11 figures
Scientific paper
An implicit method for the ohmic dissipation is proposed. The proposed method is based on the Crank-Nicolson method and exhibits second-order accuracy in time and space. The proposed method has been implemented in the SFUMATO adaptive mesh refinement (AMR) code. The multigrid method on the grids of the AMR hierarchy converges the solution. The convergence is fast but depends on the time step, resolution, and resistivity. Test problems demonstrated that decent solutions are obtained even at the interface between fine and coarse grids. Moreover, the solution obtained by the proposed method shows good agreement with that obtained by the explicit method, which required many time steps. The present method reduces the number of time steps, and hence the computational costs, as compared with the explicit method.
No associations
LandOfFree
An Implicit Scheme for Ohmic Dissipation with Adaptive Mesh Refinement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An Implicit Scheme for Ohmic Dissipation with Adaptive Mesh Refinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Implicit Scheme for Ohmic Dissipation with Adaptive Mesh Refinement will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-284523