eMoM: Exact method of moments—Nucleation and size dependent growth of nanoparticles
Pflug L, Schikarski T, Keimer A, Peukert W, Stingl M (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 136
Article Number: 106775
DOI: 10.1016/j.compchemeng.2020.106775
Abstract
In this study we present a reformulation for a broad class of population balance equations that model nucleation and size dependent growth. This formulation enables the definition of new numerical methods, which have two advantages compared to existing schemes in the literature (e.g. finite volume type methods and methods based on the evolution of moments): i) higher precision due to non-smoothing and ii) less run-time in comparison to finite volume algorithms of equivalent accuracy. The described formulation represents the solution of the considered balance equation in terms of the solution of a scalar integral equation, which can then be exploited to establish efficient numerical solvers. The computation of a solution of an initial boundary value problem in space-time is thus reduced to a scalar integral equation, which considerably reduces the computational effort required for its approximation. The integral equation describes the exact evolution of the third moment of the solution, justifying the name for this method: the exact method of moments (eMoM).
Authors with CRIS profile
Lukas Pflug
Zentralinstitut für Scientific Computing (ZISC)
Tobias Schikarski
Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik
Wolfgang Peukert
Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik
Michael Stingl
Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)
Related research project(s)
Unifying mathematical framework for synthesis and chromatographic separation of nanoparticles (SFB 1411 - D03)
Design of particulate products (SFB 1411)
Jan. 1, 2020 - Dec. 31, 2023
Formation dynamics of coloured particles (SFB 1411 - A01)
Design of particulate products (SFB 1411)
Jan. 1, 2020 - Jan. 1, 2023
Involved external institutions
United States (USA) (US)How to cite
APA:
Pflug, L., Schikarski, T., Keimer, A., Peukert, W., & Stingl, M. (2020). eMoM: Exact method of moments—Nucleation and size dependent growth of nanoparticles. Computers & Chemical Engineering, 136. https://doi.org/10.1016/j.compchemeng.2020.106775
MLA:
Pflug, Lukas, et al. "eMoM: Exact method of moments—Nucleation and size dependent growth of nanoparticles." Computers & Chemical Engineering 136 (2020).
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