DSMC Dissociation Model Based on Two-Temperature Chemical Rate Constant

A novel approach to statistical simulation of high-temperature nonequilibrium chemical reactions is described. Vibrationally speciflc dissociation cross sections are sought solving an integral equation whose right side contains a two-temperature reaction rate constant. An approximate stable solution of this equation is found numerically by Tikhonov regularization method. The class of functions to which the solution belongs is deflned on the basis of physical concepts of the form of the sought cross sections as functions of energy. The approach is illustrated by an example of the model of high-temperature dissociation of nitrogen. All stages of model implementation are considered in detail, namely, the mathematical basis, analysis of the model by comparisons with conventional models both at the level of cross sections and at the level of macroscopic reaction rates, and particular applications to computations of near-continuum reacting ∞ows by the Direct Simulation Monte Carlo method.