Abstract: In this paper, the dynamic process driven by one-dimensional piston in strong gravitational field was studied on the Cartesian, cylinderical and spherical coordinates. The gasdynamic equations were numerically solved by the characteristic method. The solution which satisfies the velocity condition at piston and the boundary conditions connect the flow region and the quiet region is obtained. The present paper analyses especially the influence of coordinate systems on the field of compressible flow, uniform flow and rarefaction flow region, the shock velocity and the temperature distribution at the piston.

Key words: 2D acoustic wave problem, Helmholtz equation, fast multipole method, boundary element method