| 二维可压缩Euler方程组的SUPG有限元数值解 |
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| 引用本文： | 徐国群,张国富.二维可压缩Euler方程组的SUPG有限元数值解[J].空气动力学学报,1993(2). |
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| 作者姓名： | 徐国群 张国富 |
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| 作者单位： | 南京航空学院，南京航空学院 江苏南京 210016，江苏南京 210016 |
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| 摘 要： | 本文在文献1]的基础上,构造了二维非定常可压缩Euler方程组的SUPG变分方程组。文中对由文献1]提出的预估——校正算法作了分析,并用该算法对变分方程组进行解算,所做算例分别为:无粘性激波在固壁上的反射、零攻角10％抛物翼型亚、跨声速绕流、带攻角NACA 0012翼型跨声速绕流,取得了较好的数值结果。
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| 关 键 词： | Euler方程组 SUPG有限元方法 权函数摄动 |
SUPG Finite Element Numerical Method of the Two-Dimensional Compressible Euler Equations |
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| Xu Guoqun Zhang Guofu.SUPG Finite Element Numerical Method of the Two-Dimensional Compressible Euler Equations[J].Acta Aerodynamica Sinica,1993(2). |
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| Authors: | Xu Guoqun Zhang Guofu |
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| Institution: | Nanjing Aeronautical Institute |
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| Abstract: | Based on the work of Hughes1], a streamline upwind/Petrov-Galerkin(SUPG) weighted residual formulation is presented for the two-dimensional unsteady compressible Euler equations. A predictor-multicor-rector algorithm is analysed and employed. Computations are performed for the shock reflection on a solid wall, the subsonic and transonic flow around a 10% thickness airfoil, and the transonic flow around a NACA 0012 airfoil with an angle of attack. Numerical results are completely satisfactory in all test cases, and the algorithm is shown to be efficient and robust |
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| Keywords: | Euler equations SUPG finite element method perturbation to the weighting function |
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