Volume 33 Issue 06
Jun.  2007
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Zhou Dan, Yu Jianjun, Yan Chaoet al. Numerical calculation of laminar flat plate skin friction[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(06): 663-667. (in Chinese)
Citation: Zhou Dan, Yu Jianjun, Yan Chaoet al. Numerical calculation of laminar flat plate skin friction[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(06): 663-667. (in Chinese)

Numerical calculation of laminar flat plate skin friction

  • Received Date: 17 Aug 2006
  • Publish Date: 30 Jun 2007
  • In order to calculate laminar skin friction more accurately, the laminar flat-plate skin friction was calculated by solving the N-S equations. For solving the N-S equations, 4 advanced upwind schemes, 14 different grid distributions and 5 limiters were employed. All the results were compared with Blasius solution. The results show that the van Lee′s FVS(flux vector splitting)scheme has considerable numerical dissipation, it is also sensitive to grid quality and limiter, so it is unsuitable for friction calculation. The solution is more accurate with a higher limiter and scheme viscous resolution. The calculation precision strongly depends on the height of the first level mesh. Considering both of the calculation ability and the grid aspect ratio, the height of the first level grid can be reduced to improve precision. For skin friction calculation, there must be no less than 4 grid points in the boundary layer.

     

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  • [1] 阎超.计算流体力学方法及应用[M].北京:北京航空航天大学出版社,2006:17-18 Yan Chao. Methods and applications of computational fluid dynamics [M]. Beijing:Beijing University of Aeronautics and Astronautics Press, 2006:17-18(in Chinese) [2] Jameson Antony, Martinelli Luigi. Mesh refinement and modeling errors in flow simulation . AIAA-96-2050, 1996 [3] 阎超.涡流数值模拟中的计算格式粘性分辨率探讨[J].计算物理,2001,18(4):308-312 Yan Chao. Investigations into the viscous resolution of CFD schemes for vortex flow simulation [J]. Computational Physics, 2001, 18(4):308-312(in Chinese) [4] 阎超,张智,张立新,等.上风格式的若干性能分析[J].空气动力学学报,2003,21(3):336-341 Yan Chao, Zhang Zhi, Zhang Lixin, et al. Characteristic analysis of the upwind scheme [J]. Acta Aerodynamic Sinica, 2003, 21(3):336-341(in Chinese) [5] Jameson Antony. Artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence in transonic and hypersonic flows . AIAA-93-3359, 1993 [6] Zingg D W. Comparison of several spatial discretizations for the N-S equations . AIAA-99-3260, 1999 [7] Tatsumi S. Design implementation, and validation of flux limited schemes for the solution of the compressible N-S equations . AIAA-94-0647, 1994
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