Frey, M. orcid.org/0000-0002-7842-0051, Dritschel, D. orcid.org/0000-0001-6489-3395 and Böing, S. orcid.org/0000-0003-3794-2563 (2023) The 3D Elliptical Parcel-In-Cell (EPIC) method. Journal of Computational Physics: X, 17. 100136. ISSN 2590-0552
Abstract
We present the three-dimensional version of the Elliptical Parcel-In-Cell (EPIC) method for the simulation of fluid flows and analogous continuum systems. The method represents a flow using a space-filling set of ellipsoidal parcels, which move, rotate and deform in the flow field. Additionally, parcels may carry any number of attributes, such as vorticity, density, temperature, etc, which generally evolve in time on the moving parcels. An underlying grid is used for efficiency in computing the velocity field from the interpolated vorticity field, and in obtaining parcel attribute tendencies. Mixing is enabled by permitting parcels to split when excessively deformed, and by merging very small parcels with the nearest other parcel. Several tests are provided which illustrate the behaviour of the method and demonstrate its effectiveness in modelling complex, buoyancy-driven turbulent fluid flows. The results are compared with a large eddy simulation (LES) and a direct numerical simulation (DNS) model.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2023 The Author(s). This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | PIC, Elliptical parcels, Lagrangian methods, Density stratified flows, Turbulent flows |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) > Inst for Climate & Atmos Science (ICAS) (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/T025409/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Nov 2023 10:00 |
Last Modified: | 27 Nov 2023 10:00 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jcpx.2023.100136 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:205929 |