A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame

Journal Article · Sat Jun 10 04:00:00 EDT 2006 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2005.10.021· OSTI ID:20767049

Lee, T ^[1]; Lin, C -L ^[1]; Chen, L -D ^[2]

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1. Department of Mechanical and Industrial Engineering, IIHR - Hydroscience and Engineering, University of Iowa, Iowa City, IA 52242-1527 (United States)
2. Department of Mechanical and Industrial Engineering, National Advanced Driving Simulator, University of Iowa, Iowa City, IA 52242-1527 (United States)

A new two-distribution lattice Boltzmann equation (LBE) algorithm is presented to solve the laminar diffusion flames within the context of Burke-Schumann flame sheet model. One distribution models the transport of the Schvab-Zeldovich coupling function, or the mixture fraction to combine the energy and species equations. The other distribution models the quasi-incompressible Navier-Stokes equations with the low Mach number approximation. In the quasi-incompressible flows, the thermodynamics quantities depend on the coupling function but not on the hydrodynamic pressure, and the fluid components are assumed to be compressible only in the mixing/reaction region. A systematic and consistent approach to deriving LBEs for the general advection-diffusion equation and the quasi-incompressible Navier-Stokes equations are also presented. The streaming step of the LBEs are discretized by the total variation diminishing (TVD) Lax-Wendroff scheme. Numerical simulations are carried out to reproduce the low frequency flame oscillation (or flame flicker) of buoyant jet diffusion flame. Comparison between the quasi-incompressible model and the incompressible model is presented and the role of non-solenoidal velocity is examined.

• OSTI ID: 20767049
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 215; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADVECTION
ALGORITHMS
APPROXIMATIONS
BOLTZMANN EQUATION
DIFFUSION
DIFFUSION EQUATIONS
FLAMES
INCOMPRESSIBLE FLOW
LAMINAR FLOW
MACH NUMBER
NAVIER-STOKES EQUATIONS
OSCILLATIONS
SIMULATION
THERMODYNAMICS