Commun. Comput. Phys., 13 (2013), pp. 769-779.

Boundary Conditions for Combustion Field and LB Simulation of Diesel Particulate Filter

Kazuhiro Yamamoto 1*

1 Department of Mechanical Science and Engineering, Faculty of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603 Japan.

Received 31 October 2011; Accepted (in revised version) 31 January 2012
Available online 29 August 2012


A diesel particulate filter (DPF) is a key technology to meet future emission standards of particulate matters (PM), mainly soot. It is generally consists of a wall-flow type filter positioned in the exhaust stream of a diesel vehicle. It is difficult to simulate the thermal flow in DPF, because we need to consider the soot deposition and combustion in the complex geometry of filter wall. In our previous study, we proposed an approach for the conjugate simulation of gas-solid flow. That is, the gas phase was simulated by the lattice Boltzmann method (LBM), coupled with the equation of heat conduction inside the solid filter substrate. However, its numerical procedure was slightly complex. In this study, to reduce numerical costs, we have tested a new boundary condition with chemical equilibrium in soot combustion at the surface of filter substrate. Based on the soot oxidation rate with catalysts evaluated in experiments, the lattice Boltzmann simulation of soot combustion in the catalyzed DPF is firstly presented to consider the process in the after-treatment of diesel exhaust gas. The heat and mass transfer is shown to discuss the effect of catalysts.

AMS subject classifications: 76S05, 80A20, 80A25, 80A32

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Key words: Lattice Boltzmann method, DPF, heat conduction, X-ray CT, multiphase flow.

*Corresponding author.
Email: (K. Yamamoto)

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