| 雷晓晨,李新霞,马骏.等离子体磁流体不稳定性的高精度数值模拟研究[J].南华大学学报(自然科学版),2017,31(1):1~5.[LEI Xiao-chen,LI Xin-xia,MA Jun.Numerical Study of Flux Difference Scheme forPlasma Magnetic Fluid Instabilities[J].Journal of University of South China(Science and Technology),2017,31(1):1~5.] |
| 等离子体磁流体不稳定性的高精度数值模拟研究 |
| Numerical Study of Flux Difference Scheme forPlasma Magnetic Fluid Instabilities |
| 投稿时间：2016-12-26 |
| DOI： |
| 中文关键词: 通量差分分裂格式 磁流体不稳定性 数值模拟 |
| 英文关键词:flux difference splitting method magnetohydrodynamic instability numerical simulation |
| 基金项目:国际热核聚变实验堆计划专项资助项目(2013GB111002);国家自然科学基金资助项目(11347002);湖南省自然科学基金项目(2016JJ2105) |
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| 中文摘要: |
| 基于有限体积法的通量差分分裂法,通过联合高阶多态黎曼求解器(HLLD)、高精度重构格式(MUSCL)和三阶总变差递减龙格-库塔格式,数值研究了平板位形下等离子体电阻磁流体不稳定性.对托卡马克等离子体双撕裂模不稳定性和等离子体磁岛合并不稳定性的研究结果表明,该算法具有精度高、数值稳定性好和运行速度快等特点.研究结果为磁流体动力学方程组的求解提供了一种新的高精度数值计算方法. |
| 英文摘要: |
| A flux difference splitting numerical scheme based on finite volume method is applied to study the instability of resistive magnetohydrodynamics in plane geometry by combining a multi-state Harten-Lax-Van Leer approximate Riemann solver with the hyperbolic divergence cleaning technique,high order shock-capturing reconstruction schemes(MUSCL),and a third order total variance diminishing Runge-Kutta time evolving scheme.The research result of the double tearing mode and coalescence instability indicate that the algorithm has the characteristics of high precision,good numerical stability and acceptable computational efficiency.It provides a feasible and high accurate numerical algorithm for the study of magnetic fluid dynamics. |
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