Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 327, Issue -, Pages 203-224Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.09.044
Keywords
Ideal MHD; Central scheme; Central discontinuous Galerkin scheme
Funding
- NSF [DMS-1517293, DMS-1522585]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1522585] Funding Source: National Science Foundation
Ask authors/readers for more resources
New schemes are developed on triangular grids for solving ideal magnetohydrodynamic equations while preserving globally divergence-free magnetic field. These schemes incorporate the constrained transport (CT) scheme of Evans and Hawley[34] with central schemes and central discontinuous Galerkin methods on overlapping cells which have no need for solving Riemann problems across cell edges where there are discontinuities of the numerical solution. These schemes are formally second-order accurate with major development on the reconstruction of globally divergence-free magnetic field on polygonal dual mesh. Moreover, the computational cost is reduced by solving the complete set of governing equations on the primal grid while only solving the magnetic induction equation on the polygonal dual mesh. Various numerical experiments are provided to validate the new schemes. (C) 2016 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available