关键词: 泊松方程;喷管气流;数值计算;格网法;固体推进剂火箭发动机

Abstract: Three-Dimensional grids generation in forced deflection nozzles has been accomplished using Poisson Equations. The interior grid is controlled directly by the grid point distribution assigned on the boundaries. This is accompished by use of source terms in the Poisson Equations whose mathematical form is independent of the boundary shape and of the boundary grid POint distribution, the source terms contains free parameters evaluated locally at the boundaries using limiting forms of the elliptic equations and interpolated into the interior. Solved numerically, the elliptic system then generates an interior grid that reflects both the geometric shape of the boundary and the spatial distribution of grid points along the boundary. To obtain the three-dimensional grids, a set of six two-dimensional grids, one for each boundary surface of segment must be set up. Once the boundary values have been obtained for all faces of the computational cube, the three-dimensional grid can be generated.

Key words: Poisson equation;Nozzle gas flow;Numerical calculation;Grids method;Solid propellant rocket engine