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粘性流计算中的差分格式

马延文,付德薰   

  1. 北京空气动力研究所 ;北京空气动力研究所
  • 出版日期:1985-03-20 发布日期:1985-03-20

马延文,付德薰. 粘性流计算中的差分格式[J]. 数值计算与计算机应用, 1985, 6(3): 143-153.

DIFFERENCE SCHEMES IN COMPUTATION OF VISCOUS FLOW

  1. Ma Yan-wen Fu De-xun(Beijing Institute of Aerodynamics)
  • Online:1985-03-20 Published:1985-03-20
电子计算技术的飞速发展为数值计算Navier-Stokes方程提供了良好条件。为研究和改进Navier-Stokes方程的数值计算方法人们做了大量工作,并取得了很大进展。 最初人们多采用显式格式来逼近N-s方程,其特点是方法简单。显式格式由于稳定性的要求,使得时间步长受到了很大限制。在计算二元激波与附面层相互干扰问题时,由于
A one-step difference scheme for solving the Navier-Stokes equations is discussed. Three hnprovements on this scheme are given: scheme with control factor, seheme with upwind computation and implicit factored scheme. Numerical experiments for the nonlinear Burgers equation are made and the results are compared with the solutions of explicit and implicit MacCormack scheme. The implicit factored scheme is shown to be most effective.
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[1] 160:5 (1965) .~~
[2] J.S. Allen, S. I. Cheng, The Physics of Fluids, Vol. 13, No. 1 (1970) .
[3] R. W. MacCormack, AIAA Paper 69-354 (1969) .
[4] R. M. Beam, R. F. Warming, AIAA Journal, Vol. 6, No. 4 (1978) .
[5] R. W. MacCormack, AIAA Paper 81-0110 (1981) .
[6] S. I. Cheng, Y. W. Ma, MAE Report No. 1558-MAE, Princeton University (1982) .
[7] 马延文,计算数学 No.2(1978) .
[8] 马延文,将发表.
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