| MHD数值模拟中清除伪磁场散度方法 |
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| 引用本文： | 田正雨,张康平,丁国昊,李桦.MHD数值模拟中清除伪磁场散度方法[J].计算物理,2009,26(1):78-86. |
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| 作者姓名： | 田正雨 张康平 丁国昊 李桦 |
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| 作者单位： | 国防科学技术大学航天与材料工程学院, 湖南 长沙 410073 |
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| 基金项目： | 国家自然科学基金，国防科技大学研究生创新资助项目 |
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| 摘 要： | 针对全MHD (Magnetohydrodynamics)数值模拟中存在伪磁场散度的问题,发展了如下计算方法:基本格式基于八波对称形式方程组,补充相关源项以保持方程组守恒性,并采用投影方法辅助清除伪散度.投影方法中,基于有限体积方法求解三维Poisson方程.算例显示,对于光滑解析磁场,伪磁场散度得到有效清除;对于带激波高超声速MHD流动,全局投影下自由来流区域误差增大.提出一种局部投影方法,在高磁场散度区域进行投影.结果表明,最终流场收敛稳定,高磁场散度得到有效清除,而低散度区域散度不受影响.
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| 关 键 词： | MHD 伪散度清除 高超声速 数值模拟 投影方法 |
| 收稿时间： | 2007-08-09 |
| 修稿时间： | 2007-11-15 |
Spurious Magnetic Field Divergence Cleaning in Magnetohydrodynamic Simulation |
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| TIAN Zhengyu,ZHANG Kangping,DING Guohao,LI Hua.Spurious Magnetic Field Divergence Cleaning in Magnetohydrodynamic Simulation[J].Chinese Journal of Computational Physics,2009,26(1):78-86. |
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| Authors: | TIAN Zhengyu ZHANG Kangping DING Guohao LI Hua |
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| Institution: | College of Aerospace and Materials Engineering, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | Numerical technique is developed to clean spurious magnetic field divergence ▽·B in full MHD (Magnetohydrodynamics) simulation.Eight-wave equations are solved in basic scheme combined with additional source term ▽·B to keep conservation.A projection scheme is used to clean spurious magnetic field divergence.3D Poisson equation is solved with a finite volume method.For smooth analytical field,▽·B is cleaned efficiently.While for hypersonic MHD blunt flows with shock wave,▽·B error increases sharply in free stream region.A local projection scheme is proposed to clean ▽·B in relatively high divergence region. Flow field converges well and magnetic field divergence in low divergence region is not influenced. |
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| Keywords: | MHD |
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