Mach Reflection of Shock and Detonation Waves in Steady Supersonic Chemically Reacting Flows

摘要

Numerical simulations have been performed to study regular and Mach reflections of oblique shock waves (SW) in a steady supersonic flow of a homogeneous combustible gas mixture and different inflow Mach numbers Min. The dynamics of the compressible medium was described by two-dimensional unsteady Euler equations. Chemical transformations in the gas mixture were described by a two-stage reaction model. The resultant hyperbolic system of equations was solved numerically using the finite-volume scheme with the fourth-order MUSCL TVD reconstruction and the advanced HLLC algorithm for an approximate solution of the Riemann problem. Integration in time was performed with a second-order accuracy by using recently developed, additive semi-implicit Runge-Kutta methods.