空间科学学报2012，Vol.32Issue(2)：197-203,7.
改进的二维三阶半离散中心迎风格式
Modified Two Dimensional Third-order Semi-discrete Central-upwind Scheme
摘要
Abstract
The 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 posi- tivity 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 func- tion, 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.关键词
非振高阶格式/重构/中心迎风格式Key words
Non-oscillatory high-order scheme/Reconstruction/Central-upwind scheme分类
天文与地球科学引用本文复制引用
侯天相,纪珍..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):197-203,7.基金项目
国家自然科学基金项目 （）
国家重点实验室专项基金共同资助 （）
