非结构网格二维理想MHD绕流逆风格式解法 |
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作者姓名: | 潘勇 王江峰 伍贻兆 |
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作者单位: | 南京航空航天大学航空宇航学院,南京210016 |
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基金项目: | 河南省教育厅立项项目“猪瘟强弱毒抗体快速诊断试纸条研究”(2004923030)。 |
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摘 要: | 在非结构网格上发展了针对二维理想磁流体方程组的逆风格式求解方法.控制方程中的对流项采用AUSM格式处理,时间推进采用显式5步龙格-库塔方法.为了消除计算中产生的磁场散度的影响,引入了双曲型散度清除方法.通过对磁流体激波管问题的求解验证了该方法对激波的捕捉能力,对有均匀磁场干扰下的喷管流动情况进行了数值模拟,并与文献中结果进行了对比.计算结果显示了磁场对磁流体流动的干扰效应,该结果与参考文献中的数值模拟结果相吻合.
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关 键 词: | 理想磁流体动力学方程 非结构网格 AUSM格式 散度清除 ideal magnetohydrodynamics equation unstructured mesh advection upstream splitting method(AUSM) scheme divergence cleaning 非结构网格 绕流 逆风格式 解法 UNSTRUCTURED MESH BASED IDEAL Computational results effects references nozzle flow simulated properties problem hyperbolic cleaning method introduced avoid |
修稿时间: | 2005/11/7 0:00:00 |
UPWIND SCHEME FOR IDEAL 2-D MHD FLOWS BASED ON UNSTRUCTURED MESH |
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Authors: | Pan Yong Wang Jiangfeng Wu Yizhao |
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Institution: | College of Aerospace Engineering, NUAA, 29 Yudao Street, Nanjing, 210016, P. R. China |
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Abstract: | An upwind scheme based on the unstructured mesh is developed to solve ideal 2-D magnetohydrodynamics(MHD) equations. The inviscid fluxes are approximated by using the modified advection upstream splitting method(AUSM) scheme, and a 5-stage explicit Runge-Kutta scheme is adopted in the time integration. To avoid the influence of the magnetic field divergence created during the simulation, the hyperbolic divergence cleaning method is introduced. The shock-capturing properties of the method are verified by solving the MHD shock-tube problem. Then the 2-D nozzle flow with the magnetic field is numerically simulated on the unstructured mesh. Computational results demonstrate the effects of the magnetic field and agree well with those from references. |
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Keywords: | ideal magnetohydrodynamics equation unstructured mesh advection upstream splitting method(AUSM) scheme divergence cleaning |
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