Main Article Content
A new Monte Carlo method termed Comb-like frame Monte Carlo is developed to simulate the soot dynamics. Detailed stochastic error analysis is provided. Comb-like frame Monte Carlo is coupled with the gas phase solver Chemkin II to simulate soot formation in a 1-D premixed burner stabilized flame. The simulated soot number density, volume fraction, and particle size distribution all agree well with the measurement available in literature. The origin of the bimodal distribution of particle size distribution is revealed with quantitative proof.
Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.
The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.
Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
 Yu, M. Z., Lin, J. Z., Chan, T. L., Effect of Precursor Loading on Non-Spherical TiO2 Nanoparticle Synthesis in a Diffusion Flame Reactor, Chemical Engineering Science, 63 (2008), 9, pp. 2317-2329
 Yu, M. Z., Lin, J. Z., Chan, T. L., A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion, Aerosol Science and Technology, 42 (2008), 9, pp. 705-713
 Yu, M. Z., Lin, J. Z., Taylor-Expansion Moment Method for Agglomerate Coagulation due to Brownian Motion in the Entire Size Regime, Journal of Aerosol Science, 40 (2009), 6, pp. 549-562
 Nie, D. M., Lin, J. Z., A Fluctuating Lattice Boltzmann Model for Direct Numerical Simulation of Particle Brownian Motion, Particuology, 7 (2009), 6, pp. 501-506
 Nie, D. M., Lin, J. Z., A Lattice Boltzmann-direct Forcing/Sictitious Domain Model for Brownian Particles in Fluctuating Fluids, Communications in Computational in Physics, 9 (2011), 4, pp. 959-973
 Kee, R. J., Grcar, J. F., Smooke, M. D., PREMIX: A Fortran Program for Modeling Steady Laminar One- Dimensional Premixed Flame, Technical Report SAND85-8240, Sandia National Laboratories, Albuquerque, N. Mex., USA, 1985
 Appel, J., Bockhorn, H., Frenklach, M., Kinetic Modeling of Soot Formation with Detailed Chemistry and Physics: Laminar Premixed Flames of C2 Hydrocarbons, Combustion and Flame, 121 (2000), 1-2, pp. 122- 136
 Frenklach, M., Wang, H., Detailed Modeling of Soot Particle Nucleation and Growth, Proceedings of the Combustion Institute, 23 (1990), pp. 1559-1566
 Zhou, K., Bisetti, F., Operator Splitting Monte Carlo: A Highly Efficient Simulator for Aerosol Dynamics, Journal of Computational Physics, (2012), (in progress)
 Grcar, J. F., The Twopnt Program for Boundary Value Problems, Technical Report SAND91-8230, Sandia National Laboratories, Albuquerque, N. Mex., USA, 1992
 Spall, J. C., Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control, John Wiley & Sons, Inc. 2003
 Abid, A. D., Heinz, N., Tolmachoff, E. D., On Evolution of Particle Size Distribution Functions of Incipient Soot in Premixed Ethylene-Oxygen-Argon Flames, Combustion and Flame, 34 (2008), 4, pp. 775-788
 Frenklach, M., Harris, S. J., Aerosol Dynamics Modeling Using the Method of Moments, Journal of Colloid and Interface Science, 118 (1987), pp. 252-261