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Non-oscillatory finite compact scheme for the equations of ideal magnetohydrodynamics
Liu L(刘利); Shen YQ(申义庆); Liu L(刘利)
会议录名称Design and Manufacture in Mechanical Engineering
2013
页码157-162
会议名称International Symposium on Mechatronics and Applied Mechanics, ISMAM 2013
会议日期MAY 15-16, 2013
会议地点Nanjing, China
摘要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.
课题组名称LHD气动布局优化与计算方法
资助信息International Materials Science Society, Hong Kong; Singapore Management and Sports Science Institute
ISBN号9783037858875
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收录类别EI
语种英语
文献类型会议论文
条目标识符http://dspace.imech.ac.cn/handle/311007/48268
专题高温气体动力学国家重点实验室
通讯作者Liu L(刘利)
推荐引用方式
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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