Coupling of the model reduction technique with the lattice Boltzmann method for combustion simulations

• Published in: Combustion and flame Vol. 157; no. 10; pp. 1833 - 1849
• Main Authors: Chiavazzo, Eliodoro, Karlin, Iliya V., Gorban, Alexander N., Boulouchos, Konstantinos
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.10.2010; Elsevier
• Subjects: AIR; Applied sciences; BOLTZMANN EQUATION; COMBUSTION; COMBUSTION KINETICS; Combustion. Flame; Computer simulation; COMPUTERIZED SIMULATION; Construction; COUPLING; Energy; Energy. Thermal use of fuels; Exact sciences and technology; FLAMES; HYDROGEN; INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; Invariant manifold; Invariant manifolds; Invariants; Joining; Lattice Boltzmann method; Lattices; Manifolds; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MIXTURES; Model reduction; Theoretical studies. Data and constants. Metering; TWO-DIMENSIONAL CALCULATIONS; Combustion; Invariant manifold; Model reduction; Lattice Boltzmann method; Thermodynamics; Manifold; Simulation; Hydrogen; Reaction mechanism; Flame structure; Premixed flame; Flame propagation
• ISSN: 0010-2180; 1556-2921
• DOI: 10.1016/j.combustflame.2010.06.009

A new framework of simulation of reactive flows is proposed based on a coupling between accurate reduced reaction mechanism and the lattice Boltzmann representation of the flow phenomena. The model reduction is developed in the setting of slow invariant manifold construction, and the simplest lattice Boltzmann equation is used in order to work out the procedure of coupling of the reduced model with the flow solver. Practical details of constructing slow invariant manifolds of a reaction system under various thermodynamic conditions are reported. The proposed method is validated with the two-dimensional simulation of a premixed counterflow flame in the hydrogen-air mixture.