@article{oai:nagoya.repo.nii.ac.jp:00017947,
 author = {Yamamoto, Kazuhiro and Takada, Naoki and Misawa, Masaki},
 issue = {1},
 journal = {Proceedings of the Combustion Institute},
 month = {Jan},
 note = {To simulate the flow in a three-dimensional porous structure, we have used the Lattice Boltzmann method (LBM). The distribution functions for flow, temperature, and concentration fields are solved to simulate the regeneration process of diesel particulate filter (DPF). For a benchmark study, we have conducted the calculation in simple geometry. To change the flow characteristics such as porosity and tortuosity, obstacles of different number and size are selected, which are randomly placed in the duct. The flow pattern is changed with obstacle size even at the same porosity. To confirm the validity of our calculation, the results are compared with the empirical relationships of the Blake–Kozeny and Ergun equations, in the non-dimensional form using the Ergun coordinates of Reynolds number and friction factor. Numerical results show good agreements with the empirical predictions. Soot combustion is well simulated to show the effects of oxygen on the reaction rate. Finally, the real porous geometry has been tested. The porous structure of Ni–Cr metal has been obtained by the three-dimensional computer tomography technique. Results show that the inhomogeneous flow is observed, and there are regions where the temperature is locally higher. This information is indispensable for the better design of DPF. LBM can be a good tool for combustion simulation in porous media.},
 pages = {1509--1515},
 title = {Combustion simulation with Lattice Boltzmann method in a three-dimensional porous structure},
 volume = {30},
 year = {2005}
}