Explicit adaptive calculations of wrinkled flame propagation

Abstract

SUMMARYThe aim of this work is to study the propagation of a curved premixed flame in an infinite two-dimensional tube. The numerical method combines some features of the finite-element and of the finite-difference methods, and uses a moving adaptive grid procedure in order to reduce the computational costs.

Flame propagation in a gasification channel

“…[1][2][3][4][5][6][7]). As pointed out by Chernyshev [8] and Skafa [9], the position and propagation of flames in the gasification channel are of great importance for sustainable operations in underground coal gasification (UCG).…”

“…The majority of the previous studies on the flame front propagation concentrated on homogeneous reactions in premixed mixtures either in laminar [6] or turbulent [5] flows. The channel walls were considered to be made of inert materials and were assumed to be adiabatic [3], or the outer surface of the wall was assumed to be maintained at the constant ambient temperature [1][2][3]. In the latter case, the influence of the heat losses to the channel walls on the flame propagation was investigated.…”

Laminar flame propagation modeling using the Radial Basis Function (RBF) method

“…Moreover, the initially planar flame now tends to draw back towards the hot boundary (on the right) because a flow of fresh mixture is introduced at the left end of the channel. This problem was solved in references [16,17] using adaptive numerical schemes. For this problem equations (1,2) are modified by adding to the right-hand side the convective terms V ∂T/∂z and V ∂T/∂z respectively.…”

Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation

“…To be more spécifie, the grid moves at each time i m the ^--direction with a velocity V(t) equal to the instantaneous average flame speed. This procedure présents several advantages : * The flame front may be deformed during the calculation, but it stays at the same place inside the moving computational domain (see the results in [2]). This allows one to rezone the grid much less often during the computation, and makes possible to reduce the size of the computational domain.…”

“…The reader is referred to [2] for more details about the method or for some results of numerical experiments.…”