The 3D Elliptical Parcel-In-Cell (EPIC) method

Matthias Frey; David G. Dritschel; Steven Böing

doi:10.1016/j.jcpx.2023.100136

The 3D Elliptical Parcel-In-Cell (EPIC) method

Matthias Frey^*, David G. Dritschel^*, Steven Böing

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

26 Downloads (Pure)

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.

Original language	English
Article number	100136
Number of pages	31
Journal	Journal of Computational Physics: X
Volume	17
DOIs	https://doi.org/10.1016/j.jcpx.2023.100136
Publication status	Published - 22 Nov 2023

Keywords

PIC
Elliptical parcels
Lagrangian methods
Density stratified flows
Turbulent flows

Access to Document

10.1016/j.jcpx.2023.100136Licence: CC BY

Frey_2023_JCPX_EPIC_CCBY
Copyright © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
Final published version, 4.17 MBLicence: CC BY

Diabatic evolution of clouds: Diabatic evolution of clouds in a Lagrangian framework: turbulence, vorticity dynamics and precipitation effects
Dritschel, D. G. (PI)
EPSRC
1/12/20 → 30/11/24
Project: Standard

MONC and PMPIC comparison code for EPIC
Böing, S. (Creator) & Frey, M. (Creator), Zenodo, 2023
DOI: 10.5281/zenodo.10156409
Dataset: Software
matt-frey/epic: EPIC (all versions)
Frey, M. (Creator) & sjboeing (Creator), Zenodo, 2023
DOI: 10.5281/zenodo.5940225
Dataset: Software
matt-frey/ps3d: ps3d (all versions)
Frey, M. (Creator) & Dritschel, D. G. (Creator), Zenodo, 2022
DOI: 10.5281/zenodo.6979867
Dataset: Software

Cite this

@article{a0895373ed1a41edb4646f222ee3b643,

title = "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.",

keywords = "PIC, Elliptical parcels, Lagrangian methods, Density stratified flows, Turbulent flows",

author = "Matthias Frey and Dritschel, {David G.} and Steven B{\"o}ing",

note = "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. ",

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doi = "10.1016/j.jcpx.2023.100136",

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AU - Frey, Matthias

AU - Dritschel, David G.

AU - Böing, Steven

N1 - 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.

PY - 2023/11/22

Y1 - 2023/11/22

N2 - 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.

AB - 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.

KW - PIC

KW - Elliptical parcels

KW - Lagrangian methods

KW - Density stratified flows

KW - Turbulent flows

U2 - 10.1016/j.jcpx.2023.100136

DO - 10.1016/j.jcpx.2023.100136

M3 - Article

SN - 2590-0552

VL - 17

JO - Journal of Computational Physics: X

JF - Journal of Computational Physics: X

M1 - 100136

ER -

The 3D Elliptical Parcel-In-Cell (EPIC) method

Abstract

Keywords

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Projects

Diabatic evolution of clouds: Diabatic evolution of clouds in a Lagrangian framework: turbulence, vorticity dynamics and precipitation effects

Datasets

MONC and PMPIC comparison code for EPIC

matt-frey/epic: EPIC (all versions)

matt-frey/ps3d: ps3d (all versions)

Cite this