| 三点五阶优化广义紧致格式 |
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| 引用本文： | 沈孟育,牛晓玲.三点五阶优化广义紧致格式[J].空气动力学学报,2003,21(4):383-390. |
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| 作者姓名： | 沈孟育 牛晓玲 |
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| 作者单位： | 清华大学工程力学系,北京,100084 |
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| 摘 要： | 根据两种差分格式色散误差目标函数对三点五阶广义紧致格式进行了优化。理论分析及数值实验证明了优化方法的正确性与有效性。该方法具有普遍意义，可以推广用来确定其它各阶精度的广义紧致格式的系数。并且利用类似的思想，可以通过其它限制条件对紧致格式进行优化。
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| 关 键 词： | 三点五阶优化广义紧致格式 多尺度物理现象 数值模拟 湍流 色散误差 |
| 文章编号： | 0258-1825(2003)03-0383-08 |
| 修稿时间： | 2002年2月7日 |
The optimized three-point fifth-order accurate generalized compact scheme |
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| Shen Meng-yu,Niu Xiao-ling.The optimized three-point fifth-order accurate generalized compact scheme[J].Acta Aerodynamica Sinica,2003,21(4):383-390. |
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| Authors: | Shen Meng-yu Niu Xiao-ling |
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| Abstract: | The paper optimizes the three-point fifth-order accurate generalized compact scheme using two kind target functions relating with the dispersion error of the finite difference schemes. The theoretical analysis and numerical results show the validity of the optimization methods. The methods can be generalized to determine the coefficients of other compact schemes with different order of accuracy. Using the similar idea, we can optimize the compact scheme with other restrict conditions. |
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| Keywords: | the dispersion error the three-point fifth-order generalized compact scheme optimize |
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