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Transported Probability Density Function (tPDF) Modeling for Direct-Injection Internal Combustion Engines
ISSN: 1946-3936, e-ISSN: 1946-3944
Published April 14, 2008 by SAE International in United States
Citation: Kung, E. and Haworth, D., "Transported Probability Density Function (tPDF) Modeling for Direct-Injection Internal Combustion Engines," SAE Int. J. Engines 1(1):591-606, 2009, https://doi.org/10.4271/2008-01-0969.
Ongoing efforts in applying a “high-end” turbulent combustion model (a transported probability density function - tPDF - method) to direct-injection internal combustion engines are discussed. New numerical algorithm and physical modeling issues arise compared to more conventional modeling approaches. These include coupling between Eulerian finite-volume methods and Lagrangian Monte Carlo particle methods, liquid fuel spray/tPDF coupling, and heat transfer. Sensitivity studies are performed and quantitative comparisons are made between model results and experimental measurements in a diesel/PCCI engine. Marked differences are found between tPDF results that account explicitly for turbulence/chemistry interactions (TCI) and results obtained using models that do not account for TCI. Computed pressure and heat release profiles agree well with experimental measurements and respond correctly to variations in engine operating conditions. Computed CO and HC emissions show large deviations from experiment in some cases; further work is required in emissions modeling. With explicit accounting for TCI, other physical submodels that have been developed and calibrated to give acceptable results without consideration of TCI need to be revisited.