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全速位积分方程跨音速绕流的数值解
引用本文:俞守勤,董军.全速位积分方程跨音速绕流的数值解[J].航空学报,1993,14(12):627-630.
作者姓名:俞守勤  董军
作者单位:南京航空航天大学6系,南京航空航天大学6系 南京 210016,南京 210016
摘    要: 从全速位方程出发,利用Green公式将其化为激波捕获积分方程和激波装配积分方程,然后离散进行数值解。流场出现激波时,对激波捕获积分方程应用上风技术捕捉到激波,然后应用激波装配技术计算,得到了满意的结果。经算例考核,该方法具有计算区域小,收敛快和CPU时间较少等优点。

关 键 词:跨音速流  积分方程  全速位方程  激波捕获  激波装配  

NUMERICAL CALCULATION OF THE FULL POTENTIAL INTEGRAL EQUATION FOR TRANSONIC FLOW
Yu Shou-qin,Dong Jun.NUMERICAL CALCULATION OF THE FULL POTENTIAL INTEGRAL EQUATION FOR TRANSONIC FLOW[J].Acta Aeronautica et Astronautica Sinica,1993,14(12):627-630.
Authors:Yu Shou-qin  Dong Jun
Institution:The 6th Department, Nanjing University of Aeronautics and Astronantics, Nanjing, 210016
Abstract:An integral equation method to solve the full potential equation for transonic flow is formulated. Green's theorem is used to transform the full potential equation to an integral equation. A shock-capturing with shock-fitting scheme is developed in the supercritical transonic flow. An upwind technique is adopted to capture the shock. An iterative procedure is used to obtain the numerical results. This method is applied to NACA 0012 airfoil over a wide range of Mach numbers. The results are in good agreement with those results obtained by other method.
Keywords:transonic flow  integral equation  full potential equation  shock-capturing  shock-fitting
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