文章基本信息

标题：Implementation of a non-oscillatory and conservative scheme into magnetohydrodynamic equations
其他标题：Implementation of a non-oscillatory and conservative scheme into magnetohydrodynamic equations
本地全文：下载
作者：Shin Tanaka ; Takayuki Umeda ; Yosuke Matsumoto 等
期刊名称：Earth, Planets and Space
电子版ISSN：1880-5981
出版年度：2009
卷号：61
期号：7
页码：895-903
DOI：10.1186/BF03353200
出版社：Springer Verlag
摘要：We present a magnetohydrodynamic (MHD) simulation technique with a new non-oscillatory and conservative interpolation scheme. Several high-resolution and stable numerical schemes have recently been proposed for solving the MHD equations. To apply the CIP scheme to the hydrodynamic equations, we need to add a certain diffusion term to suppress numerical oscillations at discontinuities. Although the TVD schemes can automatically avoid numerical oscillations, they are not appropriate for profiles with a local maximum or minimum, such as waves. To deal with the above problems, we implement a new non-oscillatory and conservative interpolation scheme in MHD simulations. Several numerical tests are carried out in order to compare our scheme with other recent high-resolution schemes. The numerical tests suggest that the present scheme can follow long-term evolution of both Alfvén waves and compressive shocks. The present scheme has been used for a numerical modeling of Alfvén waves in the solar wind, in which sinusoidal Alfvén waves decay into compressive sound waves that steepen into shocks.
关键词：MHD ;numerical scheme ;hyperbolic equation ;conservative scheme