Date of Award


Document Type

Open Access Master's Report

Degree Name

Master of Science in Mechanical Engineering (MS)

Administrative Home Department

Department of Mechanical Engineering-Engineering Mechanics

Advisor 1

Song-Lin (Jason) Yang

Committee Member 1

Sajjad Bigham

Committee Member 2

Kazuya Tajiri


Lattice Boltzmann Method is a novel approach, which has shown promise in solving a wide variety of fluid flow problems including single and multi-phase flows in complex geometries. Volume elements of the fluid domain are considered to be composed of particles and these particles fall under a velocity distribution function at each grid point. Particles collide with each other under the influence of external forces and the rules of collision are defined so as to be compatible with the Navier-Stokes Equation. In the current work, LBM has been applied to Diesel Particulate filters which is a device used for reducing Particulate Matter emissions from diesel engines. Diesel Particulate Filtering (DPF) technologies as they are collectively known, have a two-step mechanism to them. First is the trapping of the particulate matter and second is the regeneration process, which is essentially the cleaning process applied to get rid of the trapped soot with or without the help of catalytic compounds. The deposited soot is oxidized during this regeneration process. This oxidation of soot has been modeled in the current work using LBM. An artificially created porous microstructure as used by authors in some earlier works has been used to simulate the flow of fluid, which is considered to have a specified mass fraction of soot for different runs of the simulation. The velocity and concentration fields have been modeled with a D2Q9 lattice arrangement and the temperature field with a D2Q4 arrangement. The numerical code is developed using C. Flow over a heated cylinder has been modeled as a benchmark case. The pressure, velocity, temperature and concentration contours for the disordered media are compared with published work.