Journal
COMBUSTION THEORY AND MODELLING
Volume 11, Issue 2, Pages 259-286Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/13647830600898995
Keywords
characteristic boundary conditions; compressible reacting flows; direct numerical simulation; locally one-dimensional inviscid approximation; low Mach number asymptotics
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A generalized formulation of the characteristic boundary conditions for compressible reacting flows is proposed. The new and improved approach resolves a number of lingering issues of spurious solution behaviour encountered in turbulent reacting flow simulations in the past. This is accomplished (a) by accounting for all the relevant terms in the determination of the characteristic wave amplitudes and (b) by accommodating a relaxation treatment for the transverse gradient terms with the relaxation coefficient properly determined by the low Mach number asymptotic expansion. The new boundary conditions are applied to a comprehensive set of test problems including: vortex-convection; turbulent inflow; ignition front propagation; non-reacting and reacting Poiseuille flows; and counterflow cases. It is demonstrated that the improved boundary conditions perform consistently superior to existing approaches, and result in robust and accurate solutions with minimal acoustic wave interactions at the boundary in hostile turbulent combustion simulation conditions.
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