| 原函数导数逼近数据重构的通量差分分裂方法 |
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| 引用本文： | 居鸿宾,沈孟育,王保国. 原函数导数逼近数据重构的通量差分分裂方法[J]. 清华大学学报(自然科学版), 1997, 0(11) |
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| 作者姓名： | 居鸿宾 沈孟育 王保国 |
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| 作者单位： | 清华大学工程力学系 |
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| 基金项目： | 国家自然科学基金,国家教委博士后基金 |
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| 摘 要： | 针对模型方程提出一种基于原函数导数逼近的数据重构方法，结合导数的紧致逼近构造了相应的状态变量递推式，从而构造了高精度的通量差分有限面积差分格式，并将此格式推广应用于Ｅｕｌｅｒ方程。通过实例分析，证明这种方法对叶栅绕流等复杂流动现象的模拟是有效的。
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| 关 键 词： | 计算流体动力学；有限差分方法；空气动力学；叶栅流动 |
New reconstruction method of flux difference scheme based on primitive function derivative difference |
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| Ju Hongbin,Shen Mengyu,Wang Baoguo. New reconstruction method of flux difference scheme based on primitive function derivative difference[J]. Journal of Tsinghua University(Science and Technology), 1997, 0(11) |
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| Authors: | Ju Hongbin Shen Mengyu Wang Baoguo |
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| Affiliation: | Ju Hongbin,Shen Mengyu,Wang Baoguo Department of Engineering Mechanics,Tsinghua University,Beijing 100084 |
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| Abstract: | A new reconstruction method based on the difference of primitive function derivation (PFDD) is developed to counter the model equation. Connected with the derivative compact approximation, the recurrence formula for the relevant variable of states and the high accurate finite different scheme have been formed. The PFDD reconstruction with compact approximation is presented and used in Eular equation. Results reveal that the new method is effective for complex phenomenal simulation such as cascade flows. |
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