A numerical treatment of imploding shock waves in the dynamics of a chemically reacting gas

Abstract EN

In this paper, a numerical scheme for quasilinear hyperbolic system of partial differential equations in non-conservative form has been developed.

The scheme is then applied to study the unsteady motion of imploding shock waves in a chemically reacting gasdynamics.

The effects of activation energy on the convergence time and the growth rate of shock strength are obtained.

In the process, the detailed behavior near the axis at the time of shock coalescence is studied.

The effect of various controlling parameters on the numerical results are also studied.