Incorrect propagation speed of discontinuities may occur by straightforward application of standard dissipative schemes for problems that contain stiff source terms for underresolved grids even for time steps within t...Incorrect propagation speed of discontinuities may occur by straightforward application of standard dissipative schemes for problems that contain stiff source terms for underresolved grids even for time steps within the CFL condition.By examining the dissipative discretized counterpart of the Euler equations for a detonation problem that consists of a single reaction,detailed analysis on the spurious wave pattern is presented employing the fractional stepmethod,which utilizes the Strang splitting.With the help of physical arguments,a threshold values method(TVM),which can be extended to more complicated stiff problems,is developed to eliminate the wrong shock speed phenomena.Several single reaction detonations as well as multispecies and multi-reaction detonation test cases with strong stiffness are examined to illustrate the performance of the TVM approach.展开更多
基金The authors would like to thank the Center for High Performance Computing of SJTU for providing the super computer p to support this research.This work is supported by the National Natural Science Foundation of China(NSFC-91441205 and NSFC-91330203)National Science Foundation for Young Scientists of China(Grant No.51606120).Furthermore,Haiyan Lin and Chunhui Tang are appreciated in checking the revised manuscript.
文摘Incorrect propagation speed of discontinuities may occur by straightforward application of standard dissipative schemes for problems that contain stiff source terms for underresolved grids even for time steps within the CFL condition.By examining the dissipative discretized counterpart of the Euler equations for a detonation problem that consists of a single reaction,detailed analysis on the spurious wave pattern is presented employing the fractional stepmethod,which utilizes the Strang splitting.With the help of physical arguments,a threshold values method(TVM),which can be extended to more complicated stiff problems,is developed to eliminate the wrong shock speed phenomena.Several single reaction detonations as well as multispecies and multi-reaction detonation test cases with strong stiffness are examined to illustrate the performance of the TVM approach.
