Free Access
Issue
ESAIM: M2AN
Volume 46, Number 6, November-December 2012
Page(s) 1447 - 1465
DOI https://doi.org/10.1051/m2an/2012012
Published online 31 May 2012
  1. S.C. Brenner and L.R. Scott, The Mathematical Theory of Finite Element Methods, 3th edition. Springer (2008). [Google Scholar]
  2. E. Burman, Consistent SUPG-method for transient transport problems : Stability and convergence. Comput. Methods Appl. Mech. Eng. 199 (2010) 1114–1123. [CrossRef] [MathSciNet] [Google Scholar]
  3. I.T. Cameron, F.Y. Wang, C.D. Immanuel and F. Stepanek, Process systems modelling and applications in granulation : a review. Chem. Eng. Sci. 60 (2005) 3723–375. [CrossRef] [Google Scholar]
  4. F.B. Campos and P.L.C. Lage, A numerical method for solving the transient multidimensional population balance equation using an Euler-Lagrange formulation. Chem. Eng. Sci. 58 (2003) 2725–2744. [CrossRef] [Google Scholar]
  5. P. Chen, J. Sanyal and M.P. Dudukovic, CFD modeling of bubble columns flows : implementation of population balance. Chem. Eng. Sci. 59 (2004) 5201–5207. [CrossRef] [Google Scholar]
  6. K. Eriksson and C. Johnson, Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems. Math. Comput. 60 (1993) 167–188. [CrossRef] [Google Scholar]
  7. S. Ganesan and L. Tobiska, Implementation of an operator-splitting finite element method for high-dimensional parabolic problems. Faculty of Mathematics, University of Magdeburg, Preprint No. 11-04 (2011). [Google Scholar]
  8. S. Ganesan and L. Tobiska, An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems. Chem. Eng. Sci. 69 (2012) 59–68. [CrossRef] [Google Scholar]
  9. R. Glowinski, E.J. Dean, G. Guidoboni, D.H. Peaceman and H.H. Rachford, Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monge-Ampère equation. Japan J. Ind. Appl. Math. 25 (2008) 1–63. [CrossRef] [MathSciNet] [Google Scholar]
  10. R. Gunawan, I. Fusman and R.D. Braatz, High resolution algorithms for multidimensional population balance equations. AIChE J. 50 (2004) 2738–2749. [CrossRef] [Google Scholar]
  11. R. Gunawan, I. Fusman and R.D. Braatz, Parallel high-resolution finite volume simulation of particulate processes. AIChE J. 54 (2008) 1449–1458. [CrossRef] [Google Scholar]
  12. T.J.R. Hughes and A.N. Brooks, A multi-dimensional upwind scheme with no cross-wind diffusion, in Finite element methods for convection dominated flows, edited by T.J.R. Hughes. ASME, New York (1979) 19–35. [Google Scholar]
  13. H.M. Hulburt and S. Katz, Some problems in particle technology : A statistical mechanical formulation. Chem. Eng. Sci. 19 (1964) 555–574. [CrossRef] [Google Scholar]
  14. V. John and J. Novo, Error analysis of the SUPG finite element discretization of evolutionary convection-diffusion-reaction equations. SIAM J. Numer. Anal. 49 (2011) 1149–1176. [CrossRef] [Google Scholar]
  15. V. John, M. Roland, T. Mitkova, K. Sundmacher, L. Tobiska and A. Voigt, Simulations of population balance systems with one internal coordinate using finite element methods. Chem. Eng. Sci. 64 (2009) 733–741. [CrossRef] [Google Scholar]
  16. V. Kulikov, H. Briesen, R. Grosch, A. Yang, L. von Wedel and W. Marquardt, Modular dynamic simulation for integrated particulate processes by means of tool integration. Chem. Eng. Sci. 60 (2005) 2069–2083. [CrossRef] [Google Scholar]
  17. V. Kulikov, H. Briesen and W. Marquardt, A framework for the simulation of mass crystallization considering the effect of fluid dynamics. Chem. Eng. Sci. 45 (2006) 886–899. [Google Scholar]
  18. G. Lian, S. Moore and L. Heeney, Population balance and computational fluid dynamics modelling of ice crystallisation in a scraped surface freezer. Chem. Eng. Sci. 61 (2006) 7819–7826. [CrossRef] [Google Scholar]
  19. D.L. Ma, D.K. Tafti and R.D. Braatz, High-resolution simulation of multidimensional crystal growth. Ind. Eng. Chem. Res. 41 (2002) 6217–6223. [CrossRef] [Google Scholar]
  20. D.L. Ma, D.K. Tafti and R.D. Braatz, Optimal control and simulation of multidimensional crystallization processes. Comput. Chem. Eng. 26 (2002) 1103–1116. [CrossRef] [Google Scholar]
  21. A. Majumder, V. Kariwala, S. Ansumali and A. Rajendran, Fast high-resolution method for solving multidimensional population balances in crystallization. Ind. Eng. Chem. Res. 49 (2010) 3862–3872. [CrossRef] [Google Scholar]
  22. D. Marchisio and R. Fox, Solution of population balance equations using the direct quadrature method of moments. J. Aero. Sci. 36 (2005) 43–73. [CrossRef] [Google Scholar]
  23. D. L. Marchisio and R.O. Fox, Solution of population balance equations using the direct quadrature method of moments. J. Aero. Sci. 36 (2005) 43–73. [CrossRef] [Google Scholar]
  24. M. N. Nandanwara and S. Kumar, A new discretization of space for the solution of multi-dimensional population balance equations : Simultaneous breakup and aggregation of particles. Chem. Eng. Sci. 63 (2008) 3988–3997. [CrossRef] [Google Scholar]
  25. D. Ramkrishna, Population Balances, Theory and Applications to Particulate Systems in Engineering. Academic Press, San Diego (2000). [Google Scholar]
  26. D. Ramkrishna and A.W. Mahoney, Population balance modeling : Promise for the future. Chem. Eng. Sci. 57 (2002) 595–606. [CrossRef] [Google Scholar]
  27. V. Thomee, Galerkin Finite Element Methods for Parabolic Problems, 3th edition. Springer (2008). [Google Scholar]

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