| 超声速化学反应流动的LU-SGS伪时间迭代空间推进求解 |
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| 引用本文： | 贺旭照,乐嘉陵,宋文艳.超声速化学反应流动的LU-SGS伪时间迭代空间推进求解[J].航空动力学报,2010,25(5):1043-1048. |
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| 作者姓名： | 贺旭照 乐嘉陵 宋文艳 |
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| 作者单位： | 1.中国空气动力研究与发展中心 计算空气动力研究所, 621000 绵阳 |
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| 摘 要： | 介绍了求解超声速多组分有限速率化学反应流动的伪时间迭代(lower-upper symmetric-Gauss-Seidel,LU-SGS)方法.空间推进求解多组分抛物化(parabolized Navier-Stokes,PNS)方程时,在一个推进面上采用修正的LU-SGS方法迭代至收敛,把得到的结果作为初值赋给下一个推进面.沿推进面依次迭代直至求解完整个流场.采用伪时间迭代LU-SGS方法求解化学反应PNS方程,计算结果的准确性和时间迭代求解完全Navier-Stokes(N-S)方程相当,求解效率提高一个数量级.
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| 关 键 词： | 超声速流动 化学反应 PNS(parabolized Navier-Stokes)方程 空间推进 LU-SGS(lower-upper symmetric-Gauss-Seidel)方法 |
| 收稿时间： | 4/8/2009 6:30:24 PM |
| 修稿时间： | 9/18/2009 1:00:03 PM |
LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow |
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| HE Xu-zhao,LE Jia-ling and SONG Wen-yan.LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow[J].Journal of Aerospace Power,2010,25(5):1043-1048. |
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| Authors: | HE Xu-zhao LE Jia-ling and SONG Wen-yan |
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| Institution: | 1.Computational Aerodynamics Institute, China Aerodynamic Research and Development Center, Mianyang 621000, China2.School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, China |
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| Abstract: | A pseudo time iteration lower-upper symmetric-Gauss-Seidel (LU-SGS) method for solving supersonic multi-species chemical reaction flow was introduced. When solving parabolized Navier-Stokes (PNS) equations by space marching method,the modified LU-SGS method was used in the marching plane until reaching convergence. This plane's results were transferred to next plane and the entire flow field was solved plane by plane. Using pseudo time iteration LU-SGS method to solve the chemical reaction PNS equation,the result has the same level of accuracy compared with those obtained from Navier-Stokes (N-S) equations solved by time iteration method,and the computation efficiency is improved to an order or more. |
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| Keywords: | PNS(parabolized LU-SGS(lower-upper supersonic flow chemical reaction PNS (parabolized Navier-Stokes) equation space marching LU-SGS (lower-upper symmetric-Gauss-Seidel) method |
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