EXPLICIT/IMPLICIT RID METHOD FOR SOLVING PROBLEMS IN GAS DYNAMICS

A. D. Gadzhiev, S. N. Lebedev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.1. С. 49-53.

      The paper describes a new difference scheme for solving 2-D equations of gas dynamics in Lagrangian coordinates. The method relies upon applying the ROMB scheme to solve a diffusion-type equation in order to determine pressure for advanced times. This equation used a stabilizing correction method. To suppress short wave perturbations the velocities are smoothed by using fourth-order differences. The results of test calculations are presented to illustrate the method performance.