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A time‐accurate scheme for the calculations of unsteady reactive flows at low Mach number
Author(s) -
Corvellec C.,
Bruel P.,
Sabel'nikov V.A.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990130)29:2<207::aid-fld785>3.0.co;2-5
Subject(s) - mach number , turbulence , mechanics , compressibility , compressible flow , sensitivity (control systems) , physics , large eddy simulation , rate of convergence , computational fluid dynamics , convergence (economics) , flow (mathematics) , mathematics , computer science , engineering , computer network , channel (broadcasting) , electronic engineering , economics , economic growth
The artificial compressibility method is extended to the case of unsteady turbulent reacting flows at low Mach number. The resulting scheme is applied to the calculation of a propagating one‐dimensional (1D) planar turbulent flame with a realistic heat release parameter. An eddy break‐up‐like approach, with a conventional gradient expression for the turbulent fluxes, is retained to model this reacting turbulent flow. A quenched form of the mean reaction rate is used to ensure the existence of a steady regime of propagation, for which the present results are compared with those obtained by a steady analysis of the mean flame brush structure, with excellent agreement. A sensitivity analysis of the convergence rate to the values of the artificial compressibility factor and the pseudo‐time is carried out. It is shown that a reduced artificial compressibility factor of 5–10, combined with a pseudo‐Courant number of ≈1000, represents a good compromise to optimize the convergence rate. Copyright © 1999 John Wiley & Sons, Ltd.