Author(s)

Ming Yu & Zhibo Ma

Abstract

Based on the relaxation approximation, the nonlinear governing equations of detonation in condensed explosives are transformed into linear relaxation systems, which can easily adopt simple and effective high resolution scheme. A fifth-order WENO reconstruction in space discretization and a fifth-order IMEX scheme of linear multistep methods with monotonicity and TVB in time discretization are utilized, where it can be avoid solving Riemann problem and calculating the Jacobian matrix of nonlinear flux, and it is not necessary to split the reaction source term. The present method is applied to simulate the steady structure of a one-dimensional planar detonation wave in condensed explosives, and the results demonstrate the excellent performance of the present method. Keywords: relaxation method, detonation wave, condensed explosives, high resolution scheme.

Keywords

relaxation method, detonation wave, condensed explosives, high resolution scheme.