A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation

纪珍; 周玉芬; 侯天相

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A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation

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摘要

The Kurganov scheme is a third-order semi-discrete central numerical algorithm.The high solution of the scheme is ensured by a piecewise quadratic non-oscillatory reconstruction which consists of the cell-average data.We employ a modification of the smooth limiter of reconstruction in a simple way.The modified limiter possesses rigorous positivity and the reformulation does not change the non-oscillatory property of reconstruction.In order to explore the potential capability of application of the modified Kurganov scheme to magnetohydrodynamics(MHD)and resistive magnetohydrodynamics(RMHD)equations,two numerical problems are simulated in two dimensions(2D).These numerical simulations demonstrate that the modified Kurganov scheme keeps high precision and has stable reliable results for MHD and RMHD applications.

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《中国物理快报：英文版》 |2011年第7期|221-224|共4页
作者
纪珍; 周玉芬; 侯天相;
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作者单位

State Key Laboratory of Space Weather;

Center for Space Science and Applied Research;

Chinese Academy of Sciences;

Beijing 100190;

Graduate School;

Chinese Academy of Sciences;

Beijing 100049;

China Meteorological Administration Training Centre;

Beijing 100081;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
scheme; oscillatory; piecewise;

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A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation

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