Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (5): 467-476.

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ON SHOCK LAYER METHOD FOR THE HYPERSONIC FLOW PROBLEMS

袁镒吾   

  1. Central-South Polytechnic University, Changsha
  • 收稿日期:1985-04-21 出版日期:1987-05-18 发布日期:1987-05-18

ON SHOCK LAYER METHOD FOR THE HYPERSONIC FLOW PROBLEMS

Yuan Yi-wu   

  1. Central-South Polytechnic University, Changsha
  • Received:1985-04-21 Online:1987-05-18 Published:1987-05-18

摘要: Chernyi’s series method[1] is not proper for the case that(γ-l)/(γ+l)<<2/(γ+1)×M2sin2β (γ=cp/cv-adiabatic index number, M-Much number, β-shock incidence). In this paper, we only suppose that in the neighbour of the shock, there exists a shock layer in which the density of the gas is very big, but we do not remove the case that (γ-1)/(γ+1)<<2/(γ+1)M2sin2β.

关键词: low permeability, porous media, two-phase fluid, nonlinear flow, finite difference method, extrapolation method

Abstract: Chernyi’s series method[1] is not proper for the case that(γ-l)/(γ+l)<<2/(γ+1)×M2sin2β (γ=cp/cv-adiabatic index number, M-Much number, β-shock incidence). In this paper, we only suppose that in the neighbour of the shock, there exists a shock layer in which the density of the gas is very big, but we do not remove the case that (γ-1)/(γ+1)<<2/(γ+1)M2sin2β.

Key words: low permeability, porous media, two-phase fluid, nonlinear flow, finite difference method, extrapolation method

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