{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,10]],"date-time":"2026-05-10T05:34:48Z","timestamp":1778391288360,"version":"3.51.4"},"reference-count":31,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2016,12,2]],"date-time":"2016-12-02T00:00:00Z","timestamp":1480636800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>Nowadays, in the after-treatment of diesel exhaust gas, a diesel particulate filter (DPF) has been used to trap nano-particles of the diesel soot. However, as there are more particles inside the filter, the pressure which corresponds to the filter backpressure increases, which worsens the fuel consumption rate, together with the abatement of the available torque. Thus, a filter with lower backpressure would be needed. To achieve this, it is necessary to utilize the information on the phenomena including both the soot transport and its removal inside the DPF, and optimize the filter substrate structure. In this paper, to obtain useful information for optimization of the filter structure, we tested seven filters with different porosities and pore sizes. The porosity and pore size were changed systematically. To consider the soot filtration, the particle-laden flow was simulated by a lattice Boltzmann method (LBM). Then, the flow field and the pressure change were discussed during the filtration process.<\/jats:p>","DOI":"10.3390\/computation4040046","type":"journal-article","created":{"date-parts":[[2016,12,2]],"date-time":"2016-12-02T10:36:37Z","timestamp":1480674997000},"page":"46","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Effect of Pore Structure on Soot Deposition in Diesel Particulate Filter"],"prefix":"10.3390","volume":"4","author":[{"given":"Kazuhiro","family":"Yamamoto","sequence":"first","affiliation":[{"name":"Department of Mechanical Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya-shi, Aichi 464-8603, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tatsuya","family":"Sakai","sequence":"additional","affiliation":[{"name":"Department of Mechanical Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya-shi, Aichi 464-8603, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,12,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0926-3373(96)00026-4","article-title":"Catalytic Diesel Exhaust After-Treatment","volume":"10","author":"Clerc","year":"1996","journal-title":"Appl. Catal. B-Environ."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"143","DOI":"10.4271\/2011-01-0304","article-title":"Diesel emissions in review","volume":"4","author":"Johnson","year":"2011","journal-title":"SAE Int. J. Engines"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1016\/S0021-8502(97)10037-4","article-title":"Engines and nanoparticles: A review","volume":"29","author":"Kittelson","year":"1998","journal-title":"J. Aerosol Sci."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1243\/09544070260340862","article-title":"Experimental investigation of the pressure drop in porous ceramic diesel particulate filters","volume":"216","author":"Stratakis","year":"2002","journal-title":"Proc. Inst. Mech. Eng. D-J. Automob. Eng."},{"key":"ref_5","first-page":"1","article-title":"Detailed diesel exhaust particulate characterization and real-time DPF filtration efficiency measurements during PM filling process","volume":"2007","author":"Wirojsakunchai","year":"2007","journal-title":"SAE Tech. Pap."},{"key":"ref_6","first-page":"1","article-title":"Effects of washcoat on initial PM filtration efficiency and pressure drop in SiC DPF","volume":"2011","author":"Tsuneyoshi","year":"2011","journal-title":"SAE Tech. Pap."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1509","DOI":"10.1016\/j.proci.2004.08.030","article-title":"Combustion simulation with lattice Boltzmann method in a three-dimensional porous structure","volume":"30","author":"Yamamoto","year":"2005","journal-title":"Proc. Comb. Inst."},{"key":"ref_8","first-page":"333","article-title":"Simulation on flow and soot deposition in diesel particulate filter","volume":"14","author":"Yamamoto","year":"2013","journal-title":"Int. J. Eng. Res."},{"key":"ref_9","first-page":"205","article-title":"Fluid simulation and X-ray CT images for soot deposition in a diesel filter","volume":"171","author":"Yamamoto","year":"2009","journal-title":"Eur. Phys. J."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.cattod.2010.02.064","article-title":"Simulation on catalytic reaction in diesel particulate filter","volume":"153","author":"Yamamoto","year":"2010","journal-title":"Catal. Today"},{"key":"ref_11","first-page":"2584","article-title":"Lattice Boltzmann simulation on continuously regenerating diesel filter","volume":"369","author":"Yamamoto","year":"2011","journal-title":"Philos. Trans. A"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"38","DOI":"10.3390\/computation4040038","article-title":"Steady-state Anderson accelerated coupling of lattice Boltzmann and Navier\u2013Stokes solvers","volume":"4","author":"Atanasov","year":"2016","journal-title":"Computation"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1146\/annurev.fluid.30.1.329","article-title":"Lattice Boltzmann method for fluid flows","volume":"30","author":"Chen","year":"1998","journal-title":"Annu. Rev. Fluid Mech."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1209\/0295-5075\/10\/5\/008","article-title":"Three-dimensional flows in complex geometries with the lattice Boltzmann method","volume":"10","author":"Succi","year":"1989","journal-title":"Europhys. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2085","DOI":"10.1063\/1.857793","article-title":"The permeability of a random medium: Comparison of simulation with theory","volume":"2","author":"Cancelliere","year":"1990","journal-title":"Phys. Fluids A"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1002\/(SICI)1097-0363(19990415)29:7<737::AID-FLD813>3.0.CO;2-H","article-title":"Lattice Boltzmann simulation of flows in a three-dimensional porous structure","volume":"29","author":"Inamuro","year":"1999","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/S0010-4655(00)00111-9","article-title":"Numerical analysis of the pressure drop in porous media flow with lattice Boltzmann (BGK) automata","volume":"129","author":"Bernsdorf","year":"2000","journal-title":"Comput. Phys. Commun."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1002\/fld.607","article-title":"Lattice Boltzmann simulations for flow and heat\/mass transfer problems in a three-dimensional porous structure","volume":"43","author":"Yoshino","year":"2003","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/j.powtec.2015.02.042","article-title":"Numerical simulation of natural convection between a decentered triangular heating cylinder and a square outer cylinder filled with a pure fluid or a nanofluid using the lattice Boltzmann method","volume":"277","author":"Abdallaoui","year":"2015","journal-title":"Powder Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.matcom.2006.05.021","article-title":"Lattice Boltzmann simulation on porous structure and soot accumulation","volume":"72","author":"Yamamoto","year":"2006","journal-title":"Math. Comput. Simul."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.physa.2005.09.033","article-title":"LB simulation on soot combustion in porous media","volume":"362","author":"Yamamoto","year":"2006","journal-title":"Phys. A"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/j.ijthermalsci.2008.08.009","article-title":"Microstructure and particle-laden flow in diesel particulate filter","volume":"48","author":"Yamamoto","year":"2009","journal-title":"Int. J. Ther. Sci."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1209\/0295-5075\/17\/6\/001","article-title":"Lattice BGK models for Navier-Stokes equation","volume":"17","author":"Qian","year":"1992","journal-title":"Europys. Lett."},{"key":"ref_24","first-page":"1","article-title":"Lattice-Boltzmann diesel particulate filter sub-grid modelling \u2013 a progress report","volume":"2003","author":"Muntean","year":"2003","journal-title":"SAE Tech. Pap."},{"key":"ref_25","first-page":"17","article-title":"Lattice Boltzmann method and its application to flow analysis in porous media","volume":"38","author":"Hayashi","year":"2003","journal-title":"R D Rev. Toyota CRDL"},{"key":"ref_26","first-page":"1","article-title":"Optimizing the advanced ceramic material for diesel particulate filter applications","volume":"2007","author":"Dillon","year":"2007","journal-title":"SAE Tech. Pap."},{"key":"ref_27","first-page":"1","article-title":"Microstructural properties of soot deposits in diesel particulate traps","volume":"2002","author":"Konstandopoulos","year":"2002","journal-title":"SAE Tech. Pap."},{"key":"ref_28","unstructured":"Hinds, W.C. (1999). Aerosol Technology, John Wiley & Sons. [2nd ed.]."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"3083","DOI":"10.1016\/j.proci.2012.06.117","article-title":"Numerical simulation of continuously regenerating diesel particulate filter","volume":"34","author":"Yamamoto","year":"2013","journal-title":"Proc. Combus. Inst."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1023\/A:1014583226083","article-title":"Simulation of combustion field with lattice Boltzmann method","volume":"107","author":"Yamamoto","year":"2002","journal-title":"J. Stat. Phys."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1591","DOI":"10.1063\/1.869307","article-title":"On pressure and velocity boundary conditions for the lattice Boltzmann BGK model","volume":"9","author":"Zou","year":"1997","journal-title":"Phys. Fluids"}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/4\/4\/46\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:27:52Z","timestamp":1760210872000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/4\/4\/46"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,2]]},"references-count":31,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2016,12]]}},"alternative-id":["computation4040046"],"URL":"https:\/\/doi.org\/10.3390\/computation4040046","relation":{},"ISSN":["2079-3197"],"issn-type":[{"value":"2079-3197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,2]]}}}