A CLASS OF TWO-STEP TVD MACCORMACK TYPE NUMERICAL SCHEME FOR MHD EQUATIONS
- 出版年：2003
- 作者：FENG Xueshang；WEI Fengsi；ZHONG Dingkun
- 单位1：Center for Space Science and Applied Research, The Chinese Academy of Sciences
- 语种：英文
- 作者关键词：Two step TVD MacCormack scheme；MHD numerical simulation
- 起始页：401
- 总页数：12
- 经费资助：Supported by the National Natural Science Foundation of China (No.49925412,49990450) and the National Basic Research Science Foundation (No.G2000078405)
- 刊名：空间科学学报
- 是否内版：否
- 刊频：双月刊
- 创刊时间：1981
- 主办单位：中国空间科学学会；中国科学院空间科学与应用研究中心
- 主编：肖佐
- 卷：23
- 期：6
- 期刊索取号：P280.66326
摘要
In this paper,a new numerical scheme of Total Variation Diminishing (TVD) Mac-Cormack type for MagnetoHydroDynamic (MHD) equations is proposed by taking intoaccount of the characteristics such as convergence,stability, resolution.This new schemeis established by solving the MHD equations with a TVD modified MacCormack schemefor the purpose of developing a scheme of quick convergence as well as of TVD property.To show the validation, simplicity and practicability of the scheme for modelling MHDproblems,a self-similar Cauchy problem with the discontinuous initial data consisting ofconstant states, and the collision of two fast MHD shocks, and two-dimensional Orszagand Tang's MHD vortex problem are discussed with the numerical results conformingto the existing results obtained by the Roe type TVD,the high-order Godunov scheme,and Weighted Essentially Non-Oscillatory (WENO) scheme.The numerical tests showthat this two-step TVD MacCormack numerical scheme for MHD system is of robustoperation in the presence of very strong waves, thin shock fronts,thin contact and slipsurface discontinuities.