The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
High resolution algorithms for multidimensional population balance equations
Abstract
Population balance equations have been used to model a wide range of processes including polymerization, crystallization, cloud formation, and cell dynamics. Rather than developing new algorithms specific to population balance equations, it is proposed to adapt the high‐resolution finite volume methods developed for compressible gas dynamics, which have been applied to aerodynamics, astrophysics, detonation waves, and related fields where shock waves occur. High‐resolution algorithms are presented for simulating multidimensional population balance equations with nucleation and size‐dependent growth rates. For sharp distributions, these high‐resolution algorithms can achieve improved numerical accuracy with orders‐of‐magnitude lower computational cost than other finite difference and finite volume algorithms. The algorithms are implemented in the ParticleSolver software package, which is applied to batch and continuous processes with one and multiple internal coordinates. © 2004 American Institute of Chemical Engineers AIChE J, 50: 2738–2749, 2004
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Cites
Finite Volume Methods for Hyperbolic Problems
LeVeque, R. J. (2002) · Cambridge University Press eBooks · doi:10.1017/cbo9780511791253 · Cited by 6,313
Numerical Methods for Conservation Laws
LeVeque, R. J. (1992) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8629-1 · Cited by 3,632
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On the solution of population balance equations by discretization—I. A fixed pivot technique
Kumar, S., & Ramkrishna, D. (1996) · Chemical Engineering Science · doi:10.1016/0009-2509(96)88489-2 · Cited by 1,109 · cited 2×
“In the method of finite differences/discretized population balances, the population balance equation is approximated by a finite difference scheme (Kumar and Ramkrishna, 1996).”
MethodA discretized population balance for nucleation, growth, and aggregation
Hounslow, M. J., Ryall, R. L., & Marshall, V. R. (1988) · AIChE Journal · doi:10.1002/aic.690341108 · Cited by 995
On the solution of population balance equations by discretization—II. A moving pivot technique
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Cited by
Multivariate Quadrature-Based Moments Methods for turbulent polydisperse gas-liquid systems
Buffo, A., Vanni, M., Marchisio, D. L., & Fox, R. O. (2013) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2012.09.005 · Cited by 96
Metadata
- Authors
- Gunawan, R., Fusman, I., & Braatz, R. D.
- Venue
- AIChE Journal
- Publisher
- Wiley
- Published
- 2004-10-08
- Volume
- 50
- Issue
- 11
- Pages
- 2738-2749
- ISSN
- 0001-1541 (ISSN-L)
- 1547-5905
- OpenAlex
- W2092074614
- Cited by
- 323
- References
- 24
- FWCI
- 2.29
- Type
- journal article
- Language
- en
- Open access
- closed
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