| 计算气动声学中的高精度紧致差分格式研究 |
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| 引用本文： | 柳占新,黄其柏,胡溧,袁骥轩.计算气动声学中的高精度紧致差分格式研究[J].航空动力学报,2009,24(1):83-90. |
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| 作者姓名： | 柳占新 黄其柏 胡溧 袁骥轩 |
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| 作者单位： | 华中科技大学,机械学院,武汉,430074 |
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| 摘 要： | 优化了五对角紧致差分格式.通过Fourier分析,将优化目标转化为一个求带有约束的多元非线性函数的最小值问题,利用序列二次规划(SQP)方法获得最佳系数.通过三种措施保证优化的格式具有高精度和分辨率:①直接对量化波数误差积分求其最小值;②采用绝对误差准则,使各种波长的波具有同一误差限;③优化的波数空间和精确求解区间一致.通过调整内部和边界格式的Taylor精度及误差限,保证整个格式的稳定性,并从理论上证明了优化格式具有渐进稳定性.一维和二维基准算例体现了优化格式的性能改进.
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| 关 键 词： | 紧致格式 有限差分格式 序列二次规划方法 计算气动声学 渐进稳定性 |
| 收稿时间： | 2007/12/4 0:00:00 |
| 修稿时间： | 5/18/2008 8:13:31 PM |
Study on the high-accuracy compact-finite-difference schemes for computational aeroacoustics |
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| LIU Zhan-xin,HUANG Qi-bai,HU Li and YUAN Ji-xuan.Study on the high-accuracy compact-finite-difference schemes for computational aeroacoustics[J].Journal of Aerospace Power,2009,24(1):83-90. |
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| Authors: | LIU Zhan-xin HUANG Qi-bai HU Li and YUAN Ji-xuan |
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| Institution: | College of Mechanical Engineering;Huazhong University of Science and Technology;Wuhan 430074;China |
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| Abstract: | The optimized pentadiagonal compact finite difference schemes were presented in this paper.Through Fourier analysis,the optimization object was converted to find the minimum of a nonlinear multi-variable function with multi-constraint.The advanced sequential quadratic programming(SQP) method was employed to find the minimum.In order to obtain high accuracy and resolution,the following strategies were applied:(1) the minimum is computed directly from integral errors of the scaled wavenumbers;(2) absolute err... |
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| Keywords: | compact schemes finite difference schemes sequential quadratic programming computational aeroacoustics asymptotical stability |
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