A numerical study of the Riemann solutions for gasdynamic combustion

摘要

The effects of viscosity v and reaction rate k on the Riemann solutions of Navier-Stokes equations for a reacting gas are analyzed numerically. In this numerical experiment, a set of Riemann initial values is designed, such that only detonation can occur under the classical Chapman-Jouguet (CJ) theory. Based on the set of Riemann initial values, a family of solutions is computed corresponding to different values of reaction rate k and viscosity v. Furthermore, the structure of the limit solution, as k → +∞, v → 0, is studied. Our results show that the structure of the limit solution depends on the parameter C = kv. The strong, CJ detonation and weak detonation waves are all possible to appear.