Numerical Simulation Of Time-Dependent Reacting Flows.

Abstract

A numerical methodology for solving quasi-one dimensional, time-dependent reacting flow
problems is outlined in this paper. The numerical approach uses a finite-volume Harten-Yee TVD scheme for
the Euler equations of motion coupled with finite rate chemistry. Gas interfaces are detected and tracked via
a Riemann solver and to reduce the number of nodes without smearing the interfaces, a moving mesh is used.
The source terms representing the finite-rate chemical kinetics and vibrational relaxation are often large
and make the algorithm too stiff to be advanced explicitly. To avoid this stiffness an implicit treatment of
these source terms is implemented. The numerical program can work with 13 chemical reacting species and
33 different reactions of a hydrogen-oxygen-nitrogen combustion mechanism, each of which may proceed
forward or backward. Since helium is often employed in certain applications it has also been included,
although, it was considered an inert species. Numerical simulations that show the potential of the computer
code in predicting flow properties, wave patterns and chemical compositions are presented.