Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-09-11
J.Comput.Phys.203:422-448,2005
Astronomy and Astrophysics
Astrophysics
37 Pages, 9 Figures, submitted to Journal of Computational Physics
Scientific paper
10.1016/j.bodyim.2004.12.002
We present a second-order Godunov algorithm for multidimensional, ideal MHD. Our algorithm is based on the unsplit formulation of Colella (J. Comput. Phys. vol. 87, 1990), with all of the primary dependent variables centered at the same location. To properly represent the divergence-free condition of the magnetic fields, we apply a discrete projection to the intermediate values of the field at cell faces, and apply a filter to the primary dependent variables at the end of each time step. We test the method against a suite of linear and nonlinear tests to ascertain accuracy and stability of the scheme under a variety of conditions. The test suite includes rotated planar linear waves, MHD shock tube problems, low-beta flux tubes, and a magnetized rotor problem. For all of these cases, we observe that the algorithm is second-order accurate for smooth solutions, converges to the correct weak solution for problems involving shocks, and exhibits no evidence of instability or loss of accuracy due to the possible presence of non-solenoidal fields.
Colella Phillip
Crockett R. K.
Fisher Robert Taylor
Klein Richard I.
McKee Christopher F.
No associations
LandOfFree
An Unsplit, Cell-Centered Godunov Method for Ideal MHD 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 Unsplit, Cell-Centered Godunov Method for Ideal MHD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Unsplit, Cell-Centered Godunov Method for Ideal MHD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-109125