The 3D Elliptical Parcel-In-Cell (EPIC) method
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.
Citation
Frey , M , Dritschel , D G & Böing , S 2023 , ' The 3D Elliptical Parcel-In-Cell (EPIC) method ' , Journal of Computational Physics: X , vol. 17 , 100136 . https://doi.org/10.1016/j.jcpx.2023.100136
Publication
Journal of Computational Physics: X
Status
Peer reviewed
ISSN
2590-0552Type
Journal article
Description
This research is supported by the UK Engineering and Physical Sciences Research Council (grant numbers EP/T025301/1 and EP/T025409/1). This work used the ARCHER2 UK National Supercomputing Service (https://www.archer2.ac.uk) which is funded and managed by UKRI and supported by EPCC, HPE and The University of Edinburgh.Collections
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