Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics
作者： Andrew J. Christlieb , James A. Rossmanith , Qi Tang
DOI: 10.1016/J.JCP.2014.03.001
关键词:
摘要: In this work we develop a class of high-order finite difference weighted essentially non-oscillatory (FD-WENO) schemes for solving the ideal magnetohydrodynamic (MHD) equations in …
arxiv.org
harvard.edu
sci-hub.se 参考文章(50)
Michael Fey, Manuel Torrilhon, A Constrained Transport Upwind Scheme for Divergence-free Advection Hyperbolic Problems: Theory, Numerics, Applications. pp. 529- 538 ,(2003) , 10.1007/978-3-642-55711-8_49
Timothy J. Barth, Numerical Methods for Gasdynamic Systems on Unstructured Meshes Theory and Numerics for Conservation Laws. pp. 195- 285 ,(1999) , 10.1007/978-3-642-58535-7_5
Constantine M. Dafermos, Hyberbolic Conservation Laws in Continuum Physics ,(2000)
Chi-Wang Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws Lecture Notes in Mathematics. pp. 325- 432 ,(1998) , 10.1007/BFB0096355
Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu, High Order Strong Stability Preserving Time Discretizations Journal of Scientific Computing. ,vol. 38, pp. 251- 289 ,(2009) , 10.1007/S10915-008-9239-Z
Dinshaw S. Balsara, Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics Journal of Computational Physics. ,vol. 228, pp. 5040- 5056 ,(2009) , 10.1016/J.JCP.2009.03.038
Chi-Wang Shu, High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems Siam Review. ,vol. 51, pp. 82- 126 ,(2009) , 10.1137/070679065
Guang-Shan Jiang, Cheng-chin Wu, A High-Order WENO Finite Difference Scheme for the Equations of Ideal Magnetohydrodynamics Journal of Computational Physics. ,vol. 150, pp. 561- 594 ,(1999) , 10.1006/JCPH.1999.6207
Christiane Helzel, James A. Rossmanith, Bertram Taetz, A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines SIAM Journal on Scientific Computing. ,vol. 35, ,(2013) , 10.1137/120870323
David C. Seal, Andrew J. Christlieb, Yaman Güçlü, High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws Journal of Scientific Computing. ,vol. 60, pp. 101- 140 ,(2014) , 10.1007/S10915-013-9787-8