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Alternative TitleModified Two Dimensional Third-order Semi-discrete Central-upwind Scheme
侯天相; 纪珍; zji@spaceweather.ac.cn
Source Publication空间科学学报
Keyword非振高阶格式 重构 中心迎风格式
Other AbstractThe semi-discrete central-upwind scheme is a new Godunov type numerical method which is developed in 1990s.The scheme is widely used in the computational fluid dynamics and its advantages include the simple calculation process,the high calculation precision and so on.But for the third-order scheme,the positivity of the weight function and the non-oscillation of the WENO type reconstruction function in every direction cannot be preserved in two dimensional problems. In this article,a simple,direct modification is taken to the weight function of the two dimensional third-order semi-discrete central-upwind scheme.The modified weight function will keep the positivity all the time while the accuracy of the semi-discrete central-upwind method is preserved.The revised scheme still has the advantages of central-upwind schemes and it keeps the non-oscillation of reconstruction.To explore the potential capability of application of this reformation of weight function, two Magnetohydrodynamics(MHD) problems are simulated.In simulations,the third order Runge-Kutta method is used to solve the time evolution and the divergence of magnetic field was calculated by fourth-order Lax-Wendroff(L-W) scheme.All the numerical results demonstrate the modified scheme can solve the MHD equations stably,get high resolution and non-oscillatory results, keep the positivity of the weight function and the reconstruction is non-oscillatory in each direction.
Indexed ByCSCD
Funding Project中国科学院空间科学与应用研究中心
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Document Type期刊论文
Corresponding Authorzji@spaceweather.ac.cn
Recommended Citation
GB/T 7714
侯天相,纪珍,zji@spaceweather.ac.cn. 改进的二维三阶半离散中心迎风格式[J]. 空间科学学报,2012,32(2):197-203.
APA 侯天相,纪珍,&zji@spaceweather.ac.cn.(2012).改进的二维三阶半离散中心迎风格式.空间科学学报,32(2),197-203.
MLA 侯天相,et al."改进的二维三阶半离散中心迎风格式".空间科学学报 32.2(2012):197-203.
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