CE/SE method applied to flows around 2D airfoil
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摘要: 采用时空守恒元和解元CE/SE(space-time Conservation Element and Solution Element method)法,求解二维Euler方程,开展了翼型绕流的无粘数值模拟研究.用非敏感克朗数计算格式消除克朗数过小引起的数值耗散对解的污染,结合当地时间步长法,解决网格不均匀引起的当地克朗数变化跨度大的问题.对NACA0012翼型的无激波流场进行了二维数值模拟,并与AGARD算例做了对比.结果表明:CE/SE方法的计算结果与AGARD结果吻合得很好,为该数值计算方法对翼型绕流数值模拟的进一步应用奠定了基础.
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关键词:
- 时空守恒元和解元方法(CE/SE) /
- 无粘流动 /
- 翼型 /
- 涡修正 /
- 欧拉方程
Abstract: A numerical scheme for solving Euler equations was conducted to investigate inviscid flows around 2D airfoil according to space-time conservation element and solution element (CE/SE) method. Courant number insensitive scheme (CNIS) used to avoid the contaminations of numerical dissipation induced by very small Courant number, improved the accuracy combining with local time-stepping(LTS) method that canceled the disparity in Courant number at non-uniform meshes. Two dimensional numerical simulations for NACA0012 airfoil were implemented. The results show that it is in agreement with the published data by AGARD, which will provide sufficient preparations for the application of CE/SE method to airfoil at more fields. -
[1] Chang S C.The method of space-time conservation element and solution element-a new approach for solving the Navier-Stokes and Euler equations[J].Journal of Computational Physics,1995,119(2):295-324 [2] Wang X Y,Chang S C,Jorgenson P.Accuracy study of the space-time CE/SE method for computational aeroacoustics problems involving shock .AIAA-2000-0474,2000 [3] Zhang Z C,Yu S T,Chang S C.A space-time conservation element and solution element method for solving the two-and three-dimensional unsteady Euler equations using quadrilateral and hexahedral meshes[J].Journal of Computational Physics,2002,175:168-199 [4] Chang S C.Courant number insensitve CE/SE schemes .AIAA-2002-3890,2002 [5] Chang C L.Time-accurate,unstructured-mesh Navier-Stokes computations with the space-time CESE method .AIAA-2006-4780,2006 [6] Yen J C,Wagner D A.Computational aeroacoustics using a simplified Courant number insensitive CE/SE method .AIAA-2005-2820,2005 [7] Blazek J.Computational fluid dynamics:principles and applications[M].2nd ed.Germang:Elsevier,2005:281-283 [8] Usab W J,Murman E M.Embedded mesh solution of the Euler equation using a multiple-grid method .AIAA-83-1946,1983 [9] Chang S C,Zhang Z C,Yu S T,et al.A unified wall boundary treatment for viscous and inviscid flows in the CE/SE method .NASA/TM-2000-210517,2000 [10] Wang X Y,Chang S C.A 2D non-splitting unstructured triangular mesh Euler solver based on the space-time conservation element and solution element method[J].Computational Fluid Dynamics Journal,1999,8(2):309-325 [11] Lock R C.Test cases for numerical methods in two-dimensional transonic flows .Advisory Group for Aerospace Research and Development (AGARD)-R-575,1970 [12] Adam D L,Her M T.Solution acceleration for steady flow using the conservation element and solution element(CE/SE) method .AIAA-2003-75,2003 -
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