Volume 35 Issue 6
Nov.  2015
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Chen Qiu-yang, Yu Ming. Application of relaxation method for calculating detonation in condensed explosives[J]. Explosion And Shock Waves, 2015, 35(6): 785-791. doi: 10.11883/1001-1455(2015)06-0785-07
Citation: Chen Qiu-yang, Yu Ming. Application of relaxation method for calculating detonation in condensed explosives[J]. Explosion And Shock Waves, 2015, 35(6): 785-791. doi: 10.11883/1001-1455(2015)06-0785-07

Application of relaxation method for calculating detonation in condensed explosives

doi: 10.11883/1001-1455(2015)06-0785-07
  • Received Date: 2014-05-07
  • Rev Recd Date: 2014-10-07
  • Publish Date: 2015-12-10
  • Based on the theory of 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 scheme in spatial discretization and a fifth-order IMEX scheme of linear multistep methods with monotonicity and TVB in time discrtiezation are utilized, where it can leave out solving Riemann problem and computing the Jacobian matrix of the nonlinear flux, and make it unnecessary to split the stiff source term resulting from the chemical reaction. The developed method is applied to simulating the steady structure of one-dimensional planar detonation wave and unsteady initiation and propagation of one-dimensional spherically convergent and divergent detonation wave in condensed explosives PBX9404, with the results demonstrating the excellent performance of the present method.
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