546
G. Kotalczyk and F. E. Kruis
10. Sanyal, J., Marchisio, D.L., Fox, R.O., Dhanasekharan, K.: On the comparison between population balance models for CFD simulation of bubble columns. Ind. Eng. Chem. Res. 44(14),
5063–5072 (2005)
11. Cheng, J., Yang, C., Jiang, M., Li, Q., Mao, Z.-S.: Simulation of antisolvent crystallization in
impinging jets with coupled multiphase flow-micromixing-PBE. Chem. Eng. Sci. 171, 500–512
(2017)
12. Marchisio, D.L., Fox, R.O.: Solution of population balance equations using the direct
quadrature method of moments. J. Aerosol Sci. 36(1), 43–73 (2005)
13. Gavi, E., Marchisio, D.L., Barresi, A.A.: CFD modelling and scale-up of Confined Impinging
Jet Reactors. Chem. Eng. Sci. 62(8), 2228–2241 (2007)
14. Boje, A., Akroyd, J., Sutcliffe, S., Edwards, J., Kraft, M.: Detailed population balance modelling
of TiO 2 synthesis in an industrial reactor. Chem. Eng. Sci. 164, 219–231 (2017)
15. Szilágyi, B., Nagy, Z.K.: Population balance modeling and optimization of an integrated batch
crystallizer-wet mill system for crystal size distribution control. Cryst. Growth Des. 18(3),
1415–1424 (2018)
16. Hao, X., Zhao, H., Xu, Z., Zheng, C.: Population balance-Monte Carlo simulation for gas-toparticle synthesis of nanoparticles. Aerosol Sci. Technol. 47(10), 1125–1133 (2013)
17. Irizarry, R.: Stochastic simulation of population balance models with disparate time scales:
hybrid strategies. Chem. Eng. Sci. 66(18), 4059–4069 (2011)
18. Dosta, M., Heinrich, S., Werther, J.: Fluidized bed spray granulation: analysis of the system
behaviour by means of dynamic flowsheet simulation. Powder Technol. 204(1), 71–82 (2010)
19. Skorych, V., Dosta, M., Hartge, E.-U., Heinrich, S.: Novel system for dynamic flowsheet
simulation of solids processes. Powder Technol. 314, 665–679 (2017)
20. Menz, W.J., Akroyd, J., Kraft, M.: Stochastic solution of population balance equations for
reactor networks. J. Comput. Phys. 256, 615–629 (2014)
21. Kruis, F.E., Wei, J., van der Zwaag, T., Haep, S.: Computational fluid dynamics based stochastic
aerosol modeling: combination of a cell-based weighted random walk method and a constantnumber Monte-Carlo method for aerosol dynamics. Chem. Eng. Sci. 70, 109–120 (2012)
22. Zhao, H., Kruis, F.E., Zheng, C.: Reducing statistical noise and extending the size spectrum
by applying weighted simulation particles in Monte Carlo simulation of coagulation. Aerosol
Sci. Technol. 43(8), 781–793 (2009)
23. Kotalczyk, G., Kruis, F.E.: A Monte Carlo method for the simulation of coagulation and
nucleation based on weighted particles and the concepts of stochastic resolution and merging.
J. Comput. Phys. 340, 276–296 (2017)
24. Lin, Y., Lee, K., Matsoukas, T.: Solution of the population balance equation using constantnumber Monte Carlo. Chem. Eng. Sci. 57(12), 2241–2252 (2002)
25. Wei, J.: A fast Monte Carlo method based on an acceptance-rejection scheme for particle
coagulation. Aerosol Air Quality Research 13(4), 1273–1281 (2013)
26. Kotalczyk, G., Skenderovic, I., Kruis, F.E.: Modeling of particle formation in arc discharges
by Monte-Carlo based population balance modeling. MRS. Adv. 148, 1–8 (2017)
27. Kotalczyk, G., Skenderovic, I., Kruis, F.E.: Monte Carlo simulations of homogeneous nucleation and particle growth in the presence of background particles. Tellus, Ser. B. Chem. Phys.
Meteorol. 71(1), 1–10 (2019)
28. Vemury, S., Pratsinis, S.E.: Self-preserving size distributions of agglomerates. J. Aerosol Sci.
26(2), 175–185 (1995)
29. Kodas, T.T., Hampden-Smith, M.J.: Aerosol Processing of Materials, Wiley-VCH (1999). ISBN
0471246697
30. Kotalczyk, G., Skenderovic, I., Kruis, F.E.: A GPU-based Monte Carlo technique for the simulation of simultaneous nucleation, coagulation and growth based on weighted simulation
particles. In: AIChE Annual Meeting, pp. 490–497 (2016)
31. Press, W.H.: In: Numerical recipes: The Art of Scientific Computing, 3rd edn. Cambridge
University Press (2007). ISBN 978-0521880688
32. Tsang, T.H., Rao, A.: Comparison of different numerical schemes for condensational growth
of aerosols. Aerosol Sci. Technol. 9(3), 271–277 (1988)
G. Kotalczyk and F. E. Kruis
10. Sanyal, J., Marchisio, D.L., Fox, R.O., Dhanasekharan, K.: On the comparison between population balance models for CFD simulation of bubble columns. Ind. Eng. Chem. Res. 44(14),
5063–5072 (2005)
11. Cheng, J., Yang, C., Jiang, M., Li, Q., Mao, Z.-S.: Simulation of antisolvent crystallization in
impinging jets with coupled multiphase flow-micromixing-PBE. Chem. Eng. Sci. 171, 500–512
(2017)
12. Marchisio, D.L., Fox, R.O.: Solution of population balance equations using the direct
quadrature method of moments. J. Aerosol Sci. 36(1), 43–73 (2005)
13. Gavi, E., Marchisio, D.L., Barresi, A.A.: CFD modelling and scale-up of Confined Impinging
Jet Reactors. Chem. Eng. Sci. 62(8), 2228–2241 (2007)
14. Boje, A., Akroyd, J., Sutcliffe, S., Edwards, J., Kraft, M.: Detailed population balance modelling
of TiO 2 synthesis in an industrial reactor. Chem. Eng. Sci. 164, 219–231 (2017)
15. Szilágyi, B., Nagy, Z.K.: Population balance modeling and optimization of an integrated batch
crystallizer-wet mill system for crystal size distribution control. Cryst. Growth Des. 18(3),
1415–1424 (2018)
16. Hao, X., Zhao, H., Xu, Z., Zheng, C.: Population balance-Monte Carlo simulation for gas-toparticle synthesis of nanoparticles. Aerosol Sci. Technol. 47(10), 1125–1133 (2013)
17. Irizarry, R.: Stochastic simulation of population balance models with disparate time scales:
hybrid strategies. Chem. Eng. Sci. 66(18), 4059–4069 (2011)
18. Dosta, M., Heinrich, S., Werther, J.: Fluidized bed spray granulation: analysis of the system
behaviour by means of dynamic flowsheet simulation. Powder Technol. 204(1), 71–82 (2010)
19. Skorych, V., Dosta, M., Hartge, E.-U., Heinrich, S.: Novel system for dynamic flowsheet
simulation of solids processes. Powder Technol. 314, 665–679 (2017)
20. Menz, W.J., Akroyd, J., Kraft, M.: Stochastic solution of population balance equations for
reactor networks. J. Comput. Phys. 256, 615–629 (2014)
21. Kruis, F.E., Wei, J., van der Zwaag, T., Haep, S.: Computational fluid dynamics based stochastic
aerosol modeling: combination of a cell-based weighted random walk method and a constantnumber Monte-Carlo method for aerosol dynamics. Chem. Eng. Sci. 70, 109–120 (2012)
22. Zhao, H., Kruis, F.E., Zheng, C.: Reducing statistical noise and extending the size spectrum
by applying weighted simulation particles in Monte Carlo simulation of coagulation. Aerosol
Sci. Technol. 43(8), 781–793 (2009)
23. Kotalczyk, G., Kruis, F.E.: A Monte Carlo method for the simulation of coagulation and
nucleation based on weighted particles and the concepts of stochastic resolution and merging.
J. Comput. Phys. 340, 276–296 (2017)
24. Lin, Y., Lee, K., Matsoukas, T.: Solution of the population balance equation using constantnumber Monte Carlo. Chem. Eng. Sci. 57(12), 2241–2252 (2002)
25. Wei, J.: A fast Monte Carlo method based on an acceptance-rejection scheme for particle
coagulation. Aerosol Air Quality Research 13(4), 1273–1281 (2013)
26. Kotalczyk, G., Skenderovic, I., Kruis, F.E.: Modeling of particle formation in arc discharges
by Monte-Carlo based population balance modeling. MRS. Adv. 148, 1–8 (2017)
27. Kotalczyk, G., Skenderovic, I., Kruis, F.E.: Monte Carlo simulations of homogeneous nucleation and particle growth in the presence of background particles. Tellus, Ser. B. Chem. Phys.
Meteorol. 71(1), 1–10 (2019)
28. Vemury, S., Pratsinis, S.E.: Self-preserving size distributions of agglomerates. J. Aerosol Sci.
26(2), 175–185 (1995)
29. Kodas, T.T., Hampden-Smith, M.J.: Aerosol Processing of Materials, Wiley-VCH (1999). ISBN
0471246697
30. Kotalczyk, G., Skenderovic, I., Kruis, F.E.: A GPU-based Monte Carlo technique for the simulation of simultaneous nucleation, coagulation and growth based on weighted simulation
particles. In: AIChE Annual Meeting, pp. 490–497 (2016)
31. Press, W.H.: In: Numerical recipes: The Art of Scientific Computing, 3rd edn. Cambridge
University Press (2007). ISBN 978-0521880688
32. Tsang, T.H., Rao, A.: Comparison of different numerical schemes for condensational growth
of aerosols. Aerosol Sci. Technol. 9(3), 271–277 (1988)