Self-regulating finite-difference methods for the computation of reacting flows with nonlinear kinetics (Q1111895)

This paper deals with the difficult problem of predicting the concentration (and temperature) fields of reacting flows in which the chemistry is modeled by a multicomponent set of nonlinear reactions. A novel variable split-operator method is presented, which splits each individual chemical reaction at each point and for each step or iteration in such a way as to guarantee the nonpositiveness of the eigenvalues of the chemical Jacobian matrix. This helps to ensure stability/convergence of the proposed iterative scheme. The possibility of constructing accelerated schemes of this nature is also explored. Finally, computed results illustrate the usefulness and reliability of the proposed methods and provide evidence concerning their relative merits.