Physics – Computational Physics
Scientific paper
2004-11-17
Physics
Computational Physics
Scientific paper
Balsara (2001) showed the importance of divergence-free reconstruction in adaptive mesh refinement problems for magnetohydrodynamics (MHD) and the importance of the same for designing robust second order schemes for MHD was shown in Balsara (2004). In this paper we show that the reconstruction of divergence-free vector fields can be carried out with better than second order accuracy. As a result, we design divergence-free RKDG and hybrid RKDG+HWENO schemes for MHD that have accuracies that are better than second order. Accuracy analysis is carried out and it is shown that the schemes meet their design accuracy for smooth problems. Stringent one-dimensional tests are also presented showing that the schemes perform well on those tests.
No associations
LandOfFree
rkdg and Hybrid rkdg+hweno Schemes for Divergence-Free Magnetohydrodynamics Part I 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 rkdg and Hybrid rkdg+hweno Schemes for Divergence-Free Magnetohydrodynamics Part I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and rkdg and Hybrid rkdg+hweno Schemes for Divergence-Free Magnetohydrodynamics Part I will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-655452