| Non-oscillatory finite compact scheme for the equations of ideal magnetohydrodynamics | |
Liu L(刘利) ; Shen YQ(申义庆); Liu L(刘利)
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| Source Publication | Design and Manufacture in Mechanical Engineering |
| 2013 | |
| Pages | 157-162 |
| Conference Name | International Symposium on Mechatronics and Applied Mechanics, ISMAM 2013 |
| Conference Date | MAY 15-16, 2013 |
| Conference Place | Nanjing, China |
| Abstract | Although the equations of ideal Magnetohydrodynamics (MHD) is a non-strictly hyperbolic system, they have a wave-like structure analogous to that of the hydrodynamics equations, various numerical schemes for hydrodynamics equations have been extended to solve the MHD equations. The finite compact (FC) scheme treats the discontinuity as the internal boundary and avoids the global dependence of the traditional compact schemes. By using a parameter-free shock detecting method, the computational domain is divided into a series of smooth regions and shock wave regions. In the shock wave regions, the shock capturing scheme is used to construct the numerical flux, and in the smooth regions the compact scheme is used, the flux of shock wave region is automatically the boundary formulation of the compact scheme. Hence, the FC scheme can resolve shock essentially non-oscillatory and achieve high order of accuracy in smooth region. This paper develops the non-oscillation finite compact scheme for the ideal MHD equations. |
| Department | LHD气动布局优化与计算方法 |
| Funding Organization | International Materials Science Society, Hong Kong; Singapore Management and Sports Science Institute |
| ISBN | 9783037858875 |
| URL | 查看原文 |
| Indexed By | EI |
| Language | 英语 |
| Document Type | 会议论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48268 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Liu L(刘利) |
| Recommended Citation GB/T 7714 | Liu L,Shen YQ,Liu L. Non-oscillatory finite compact scheme for the equations of ideal magnetohydrodynamics[C]Design and Manufacture in Mechanical Engineering,2013:157-162. |
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