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 引用本文: 高正红. 沉浮、俯仰及控制面振动引起的跨音速非定常气动载荷计算[J]. 应用数学和力学, 1992, 13(9): 775-783.
Gao Zheng-hong. Unsteady Transonic Aerodynamic Loadings on the Airfoil Caused by Heaving, Pitching Oscillations and Control Surface[J]. Applied Mathematics and Mechanics, 1992, 13(9): 775-783.
 Citation: Gao Zheng-hong. Unsteady Transonic Aerodynamic Loadings on the Airfoil Caused by Heaving, Pitching Oscillations and Control Surface[J]. Applied Mathematics and Mechanics, 1992, 13(9): 775-783.

## 沉浮、俯仰及控制面振动引起的跨音速非定常气动载荷计算

• 摘要: 本文将文献[9]提出改进的通量分裂方法,应用于随时间变化的贴体网格中,建立了可用于求解非定常Euler方程的通量分裂方法.该方法是以连续的特征值分离为基础,它具有方法简单,便于推广使用的特点.同时克服了Steger-Warming通量分裂方法存在的问题.对通量分裂后的Euler方程.利用MUSCL型迎风差分建立了具有二阶精度的有限体积方程.文中以NACA64A—10翼型为例,对其在跨音速流场中进行沉浮、俯仰及带有振动控制面引起的非定常气动载荷进行了计算.部分计算结果与相应的实验结果进行了比较,吻合良好
•  [1] Borland,C.,D.Rizzetta and H.Yoshihara,Numerical solution of three-dimensional unsteady transonic flow over swept wings,AIAA-paper 80-1369,July(1980). [2] Sankar,L.N.,J.B.Malone and Y.Tassa.,An implicit conservative algorithm for steady and unsteady three-dimensional transonic potential flows,Proceedings of the AIAA Fifth Computational Fluid Dynamics Conference,Palo Alto,CA,June(1981),199-212. [3] Jameson,A.and V.Venkatakrishnan,Transonic flow about oscillating airfoils using the Euler equations,AIAA-paper 85-1514(1985). [4] Chyu,W.J.,S.S.Davis and K.S.Chang,Calculation of unsteady transonic flow over an airfoil,AIAA Journal,19,6(1981),684-690. [5] 高正红,跨音速定常与非定常流动的Euler方程解,西北工业大学博士论文(1989). [6] Thomas,J.L.,B.Van Leer and R.W.Walfer,Implicit flux-split schemes for the Euler equations,AIAA-paper 85-1680(1985). [7] Thompson,J.F.,Grid generation techniques on computational fluid dynamics,AIAA Journal,22(1984),1505. [8] 高正红,用多重网格法快速生成随时间变化的贴体网格,航空学报,9(3)(1988). [9] 高正红、刘千刚,一种求解Eulcr方程的改进的通量分裂方法.(待发表). [10] Davis,S.S.and G.N.Malcolm,Experimental unsteady aerodynamics of conventional and super-critical airfoils,NACA TM 81221. [11] Davis,S.S.and G.N.Malcolm,Experiments in unsteady transonic flow,Proceedings of AIAA/ASME/AHS 20th Structures,Structural Dynamics and Matericals Conference,St.Loris,Mo.,April(1979).

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##### 出版历程
• 收稿日期:  1991-06-09
• 刊出日期:  1992-09-15

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