An efficient and accurate numerical method is presented to solve conservation laws for time-dependent multicomponent flows of compressible reactive gaseous mixtures with and without finite rate chemical reactions. An essentially non-oscillatory (ENO) shock capturing scheme for solving hyperbolic equations is extended to solve this system of conservation laws in a fully coupled way. The thermodynamic properties of the mixture are modeled accurately in the extension. The stiff chemical kinetic terms are split from the fluid motion by the fractional step algorithm. A complex chemical kinetic system with finite rate chemistry is used in the calculation to study transient combustion processes. A new technique for proper treatment of the stiff source terms is utilized, so that a correct solution of stiff combustion waves can be obtained, even for large time steps and grid sizes. Numerical difficulties associated with contact surfaces for multicomponent mixing flow and stiffness of detonation wave problems are eliminated. Several test problems of one and two space dimensions, inviscid and viscous, with and without chemical reactions, are presented. A numerical study of the mechanism for enhancement of mixing and combustion with potential applications to scramjet combustor design is presented.
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