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| A moving-grid entropy stable scheme for the 1D ideal MHD equations |
| Received:October 23, 2021 Revised:December 23, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20211023003 |
| KeyWord:magnetohydrodynamics equations entropy conservative flux entropy stable scheme adaptive moving grid Runge-Kutta method |
| Author | Institution |
| 翟梦情 |
长安大学 理学院, 西安 |
| 李琦 |
长安大学 理学院, 西安 |
| 郑素佩 |
长安大学 理学院, 西安 |
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| Abstract: |
| The numerical solution of the magnetohydrodynamics (MHD) equations is of great significance in the fields of plasma physics,astrophysics and flow control.In this paper,an entropy-stable scheme based on the moving grid is constructed for solving the ideal MHD equations.This method combines the Roe-type entropy-stable scheme with the adaptive moving-grid algorithm,where the entropy-stable scheme is used to discretize the MHD equations in space,and the grid evolution equation is constructed by the variational method and then solved iteratively by Gauss-Seidel method for the adaptive grid.Furthermore,the scheme uses the conservative interpolation formula for transmission between on the new nodes and the old ones,with the third-order strongly stable Runge-Kutta method in time step.Numerical experiments show that the algorithm can effectively capture the structure of the solutions (especially shock waves and rarefaction waves),and has high resolution,good versatility,and strong robustness. |
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