The equilibrium flux method for the calculation of flows with non- equilibrium chemical reactions (Q1113759)

The equilibrium flux method [\textit{D. I. Pullin}, ibid. 34, 231-244 (1980; Zbl 0419.76049)] is a kinetic theory based finite volume method for calculating the flow of a compressible ideal gas. It is shown here that, in effect, the method solves the Euler equations with added pseudo- dissipative terms and that it is a natural upwinding scheme. The method can be easily modified so that the flow of a chemically reacting gas mixture can be calculated. Results from the method for a one-dimensional non-equilibrium reacting flow are shown to agree well with a conventional continuum solution. Results are also presented for the calculation of a plane two-dimensional flow, at hypersonic speed, of a dissociating gas around a blunt nosed body.