Quantifying the errors of the particle-source-in-cell Euler-Lagrange method
File(s)
Accepted version
Author(s)
Evrard, Fabien
Denner, Fabian
van Wachem, Berend
Type
Journal Article
Abstract
The particle-source-in-cell Euler-Lagrange (PSIC-EL) method is widely used to simulate flows laden with particles. Its accuracy, however, is known to deteriorate as the ratio between the particle diameter ( d p ) and the mesh spacing ( h) increases, due to the impact of the momentum that is fed back to the flow by the Lagrangian particles. Although the community typically recommends particle diameters to be at least an order of magnitude smaller than the mesh spacing, the errors corresponding to a given d p /h ratio and/or flow regime have not been systematically studied. In this paper, we provide an expression to estimate the magnitude of the flow velocity disturbance resulting from the transport of a particle in the PSIC-EL framework, based on the d p /h ratio and the particle Reynolds number, Re p . This, in turn, directly relates to the error in the estimation of the undisturbed velocity, and therefore to the error in the prediction of the particle motion. We show that the upper bound of the relative error in the estimation of the undisturbed velocity, for all particle Reynolds numbers, is approximated by (6 / 5 ) d p /h . Moreover, for all cases where d p /h 1 / 2 , the expression we provide accurately estimates the value of the errors across a range of particle Reynolds numbers that are relevant to most gas-solid flow applications ( Re p < 500 ).
Date Issued
2021-02
Date Acceptance
2020-11-30
Citation
International Journal of Multiphase Flow, 2021, 135, pp.1-6
ISSN
0301-9322
Publisher
Elsevier BV
Start Page
1
End Page
6
Journal / Book Title
International Journal of Multiphase Flow
Volume
135
Copyright Statement
© 2020 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0301932220306467?via%3Dihub
Subjects
physics.comp-ph
physics.comp-ph
physics.flu-dyn
09 Engineering
Mechanical Engineering & Transports
Publication Status
Published online
Article Number
103535
Date Publish Online
2020-12-04