An Adaptive Projection Method for Unsteady, Low-Mach Number Combustion

R. B. PEMBER, L. H. HOWELL, J. B. BELL, P. COLELLA, W. Y. CRUTCHFIELD, W. A. FIVELAND, J. P. JESSEE
1998 Combustion Science and Technology  
We present an adaptive projection method for modeling unsteady. low-Mach reacting ilow in an unconfined region. The equations are based on a model for low-Mach ilumber combustion that consists of evolution equations coupled with a constraint 011 the divergence of the flow, The algorithm is based on a projection methodology in which we first advance the evolution equatiuns and then solve an elliptic equation to enforce the divergence constraint. The adaptivc mesh refinement (AM R) scheme uses a
more » ... M R) scheme uses a time-varyin!! hierarchy of rectangular grids, The integration scheme is a recursive procedure in which coarse grids mc advanced. fine grids are advanced to the same time as the coarse grids. and the coarse and tine grid ciata are then synchronized, The method is cnrrently implemented for laminar. axisymmetric flames with a reduced kinetics mechanism and a Lewis number of unity, Three mcthane air fiamcs. two steady and one flickering. are presented as numerical examples. Ke)'lI'o,.ds: Laminar diffusion flames; unsteady combustion; fluid dynamic aspects in combustion; numerical modeling 12(, R. B. PEl\1 BER ef al.
doi:10.1080/00102209808915770 fatcat:al3uhzqvnffznfla5ckwch2pie