关键词: 进气道, 跨音速流, 有限差分法

Abstract: A finite difference method for computing the axisymme-tric, transonic flows over nacelle is presented in this paper. It is shown that the full-potential equation with conservation form for the axi-symmetric flows differs from the 2-D planar version only to the replacement of ρ by ρy, where P is the density, y the distance from the axis. When the extension from the planar to the axisymmetric case is made, however, the corresponding replacement used in the approximate-factorization iteration scheme for 2-D planar case does not lead to a convergence of the iteration. According to the optimum convergence criterion, a new AF scheme is constructed and then applied to solving the conservative full-potential equation for transonic nacelle flow, using body-fitted grid with exact boundary condition. Computation for several inlets shows the rapid convergence of this scheme and in an excellent agreement with the experiment results.

Key words: air intakes, transonic flow, method of finite difference