Imperial College London
Alternate

Dr Stelios Rigopoulos

Faculty of Engineering, Department of Mechanical Engineering

Reader in Thermofluids
 
 
 
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Contact

 

+44 (0)20 7594 7108s.rigopoulos

 
 
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Location

 

620City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Sewerin:2017:10.1016/j.ces.2017.01.054,
author = {Sewerin, F and Rigopoulos, S},
doi = {10.1016/j.ces.2017.01.054},
journal = {Chemical Engineering Science},
pages = {250--270},
title = {An explicit adaptive grid approach for the numerical solution of the population balance equation},
url = {http://dx.doi.org/10.1016/j.ces.2017.01.054},
volume = {168},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Many engineering applications, such as the formation of soot in hydrocarbon combustion or the precipitation of nanoparticles from aqueous solutions, encompass a polydispersed particulate phase that is immersed in a reacting carrier flow. From a Eulerian perspective, the evolution of the particulate phase both in physical and in particle property space can be described by the population balance equation (PBE). In this article, we present an explicit solution-adaptive numerical scheme for discretizing the spatially inhomogeneous and unsteady PBE along a one-dimensional particle property space. This scheme is based on a space and time dependent coordinate transformation which redistributes resolution in particle property space according to the shapes of recent solutions for the particle property distribution. In particular, the coordinate transformation is marched in time explicitly. In comparison to many existing moving or dynamic adaptive grid approaches, this has the advantage that the semi-discrete PBE does not need to be solved in conjunction with an additional system governing the movement of nodes in particle property space.By design, our adaptive grid technique is able to accurately capture sharp features such as peaks or near-discontinuities, while maintaining the semi-discrete system size and adhering to a uniform fixed grid discretization in transformed particle property space. This is particularly advantageous if the PBE is combined with a spatially and temporally fully resolved flow model and a standard Eulerian solution scheme is applied in physical space. In order to accommodate localized source terms and to control the grid stretching, we develop a robust scheme for modifying the coordinate transformation such that constraints on the resolution in physical particle property space are obeyed.As an example, we consider the precipitation of BaSO4 particles from an aqueous solution in a plug flow reactor. Our findings demonstrate that for a given accuracy o
AU  - Sewerin,F
AU  - Rigopoulos,S
DO  - 10.1016/j.ces.2017.01.054
EP  - 270
PY  - 2017///
SN  - 0009-2509
SP  - 250
TI  - An explicit adaptive grid approach for the numerical solution of the population balance equation
T2  - Chemical Engineering Science
UR  - http://dx.doi.org/10.1016/j.ces.2017.01.054
UR  - https://www.sciencedirect.com/science/article/pii/S0009250917300854
UR  - http://hdl.handle.net/10044/1/45377
VL  - 168
ER  -
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