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三维超音速和高超音速无粘非定常流动的数值模拟
引用本文:任玉新,刘秋生,沈孟育. 三维超音速和高超音速无粘非定常流动的数值模拟[J]. 清华大学学报(自然科学版), 1996, 0(3)
作者姓名:任玉新  刘秋生  沈孟育
作者单位:清华大学工程力学系!北京100084
摘    要:对于钝头体的三维高超音速和超音速非定常绕流,给出了Euler方程在团结于钝头体 的非惯性坐标系中的守恒形式,通过对求解域的有限体积离散,矢通量分裂方法以及Warming 和Beam的二阶迎风格式用数值方法计算了Euler方程的时间精确解。给出了利用本文的非定 常流动数值计算结果及1992年任玉新的学位论文“气动稳定性导数的理论与数值方法”计算出 的俯仰阻尼导数的值,它与实验结果较好地符合。表明文中的非定常流动数值计算方法是可靠 的,对准确确定飞行器的动导数具有意义。

关 键 词:数值模拟  矢通量分裂方法  Warming-Beam迎风格式  动稳定性导数  阻尼导数

Numerical simulation of three dimensional supersonic and hypersonic unsteady flow fields
Ren Yuxin,Liu Qiusheng,Shen Mengyu. Numerical simulation of three dimensional supersonic and hypersonic unsteady flow fields[J]. Journal of Tsinghua University(Science and Technology), 1996, 0(3)
Authors:Ren Yuxin  Liu Qiusheng  Shen Mengyu
Abstract:Three dimensional unsteady supersonic and hypersonic flow around a blount body has been computed by solving Euler equations. The unsteady Euler eqautions have been derived for the flow relative motion with respect to a frame of reference that is rigidly attached to the moving body. The equations are cast in curvilinear coordinates and the timeaccurate solution is computed by flux-vector splitting method and Warming-Beam upwind scheme. The dynamic stability derivatives have also been predicted by using the results of the unsteady flow computations. The damping derivatives agree well with existing experimental data. The numerical examples show that the computational method is robust, accurate and effective.
Keywords:numerical simulation  flux-vector splitting method  Warming-Beam upwind scheme  dynamic stability derivative  damping derivative  
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