An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes
Year: 2017
Communications in Computational Physics, Vol. 21 (2017), Iss. 2 : pp. 423–442
Abstract
In this paper we consider a discontinuous Galerkin discretization of the ideal magnetohydrodynamics (MHD) equations on unstructured meshes, and the divergence free constraint (∇·B = 0) of its magnetic field B. We first present two approaches for maintaining the divergence free constraint, namely the approach of a locally divergence free projection inspired by locally divergence free elements [19], and another approach of the divergence cleaning technique given by Dedner et al. [15]. By combining these two approaches we obtain an efficient method at the almost same numerical cost. Finally, numerical experiments are performed to show the capacity and efficiency of the scheme.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.180515.230616a
Communications in Computational Physics, Vol. 21 (2017), Iss. 2 : pp. 423–442
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
-
Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics
Ciucă, C. | Fernandez, P. | Christophe, A. | Nguyen, N.C. | Peraire, J.Journal of Computational Physics: X, Vol. 5 (2020), Iss. P.100042
https://doi.org/10.1016/j.jcpx.2019.100042 [Citations: 4] -
Numerical Methods for Simulating Star Formation
Teyssier, Romain | Commerçon, BenoîtFrontiers in Astronomy and Space Sciences, Vol. 6 (2019), Iss.
https://doi.org/10.3389/fspas.2019.00051 [Citations: 20] -
A divergence-free and H(div)-conforming embedded-hybridized DG method for the incompressible resistive MHD equations
Chen, Jau-Uei | Horváth, Tamás L. | Bui-Thanh, TanComputer Methods in Applied Mechanics and Engineering, Vol. 432 (2024), Iss. P.117415
https://doi.org/10.1016/j.cma.2024.117415 [Citations: 0] -
Software for Exascale Computing - SPPEXA 2016-2019
EXAMAG: Towards Exascale Simulations of the Magnetic Universe
Springel, Volker | Klingenberg, Christian | Pakmor, Rüdiger | Guillet, Thomas | Chandrashekar, Praveen2020
https://doi.org/10.1007/978-3-030-47956-5_12 [Citations: 0] -
An arbitrary high-order Spectral Difference method for the induction equation
Han Veiga, Maria | Velasco-Romero, David A. | Wenger, Quentin | Teyssier, RomainJournal of Computational Physics, Vol. 438 (2021), Iss. P.110327
https://doi.org/10.1016/j.jcp.2021.110327 [Citations: 4]