A 3rd Order WENO GLM-MHD Scheme for agnetic Reconnection
- 出版年：2006
- 作者：FENG Xueshang；ZHOU Yufen；HU Yanqi
- 单位1：Key Laboratory for Space Weather, Center for Space Science and Applied Research,Chinese Academy of Science8, Beijing 100080
- 语种：中文
- 作者关键词：WENO scheme；MHD numerical simulation；Orszag-Tang vortex；Magnetic reconnec-tion
- 起始页：1
- 总页数：7
- 经费资助：Supported by the National Natural Science Foundation of China (40374056, 40536029, 40574068), the International Collaboration Research Team Program of the Chinese Academy of Sciencea
- 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：中国科学院空间科学与应用研究中心
- 主编：肖佐
- 地址：北京8701信箱
- 邮编：100080
- 电子信箱：cjss@center.cssar.ac.cn
- 网址：http://www.cjss.ac.cn
- 卷：26
- 期：1
- 期刊索取号：P280.66326
摘要
A new numerical scheme of 3rd order Weighted Essentially Non-Oscillatory (WENO)type for 2.5D mixed GLM-MHD in Cartesian coordinates is proposed. The MHD equations aremodified by combining the arguments as by Dellar and Dedner et al to couple the divergence con-straint with the evolution equations using a Generalized Lagrange Multiplier (GLM). Moreover, themagnetohydrodynamic part of the GLM-MHD system is still in conservation form. Meanwhile, thismethod is very easy to add to an existing code since the underlying MHD solver does not have tobe modified. To show the validation and capacity of its application to MHD problem modelling,interaction between a magnetosonic shock and a denser cloud and magnetic reconnection problemsare used to verify this new MHD code. The numerical tests for 2D Orszag and Tang's MHD vortex,interaction between a magnetosonic shock and a denser cloud and magnetic reconnection problemsshow that the third order WENO MHD solvers are robust and yield reliable results by the new mixedGLM or the mixed EGLM correction here even if it can not be shown that how the divergence errorsare transported as well as damped as done for one dimensional ideal MHD by Dedner et al.