NUMERICAL SIMULATION OF THERMAL PLUMES USING LATTICE BOLTZMANN METHOD
Résumé
Thermal plumes are involved in many aspects of fire safety including wildfires, fire detection, and
fire suppression. Consequently, the accurate prediction of those turbulent plumes is fundamental
and indispensable. In the literature many works on thermal plumes were reported, from the early
correlative approaches from experiments to more recent numerical simulations. Most of numerical
studies have considered numerical simulations based on Navier-Stokes equations from direct
numerical simulation, DNS, large eddy simulation, LES, reaching Reynolds Averaged Navier
Stokes, RANS. In this work, a new promising technique is investigated, utilizing a whole
different set of equations called the Lattice Boltzmann equations. The speed of the LBM makes
it attractive nowadays compared to classical Navier-Stokes solvers. The need of such a low cost
method rises from the huge computational resources required for LES in large–scale plumes.
Hybrid LBM-NS will be used in this study where the LBM will be used for mass and
momentum conservations while the usual Navier-Stokes formulation will be considered for the
energy equation. This hybrid technique is chosen because it is easily extendable afterwards for
fire plume simulations where combustion will be required. Free inlet/outlet boundary conditions
are considered along the sides and at the top boundary of the computational domain, a no slip
boundary condition is applied on the ground, as for the inlet a velocity profile is imposed in
addition to a constant heat input or temperature. Different collision models and sub-grid models
are assessed and different levels of refinements are exploited for mesh convergence study.
Comparisons and validations with other numerical simulations are held to demonstrate the
potential inherited in the LBM from both accuracy and cost points of view. Experimental results
and analytical solutions from the literature will be used for validation as well.