SPARSE—A subgrid particle averaged Reynolds stress equivalent model: testing with a priori closure

Sean L Davis; Gustaaf B Jacobs; Oishik Sen; H. S Udaykumar

doi:10.1098/rspa.2016.0769

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SPARSE—A subgrid particle averaged Reynolds stress equivalent model: testing with a priori closure

Journal article

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SPARSE—A subgrid particle averaged Reynolds stress equivalent model: testing with a priori closure

Sean L Davis, Gustaaf B Jacobs, Oishik Sen and H. S Udaykumar

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, Vol.473(2199), pp.20160769-20160769

03/2017

DOI: 10.1098/rspa.2016.0769

PMCID: PMC5378239

PMID: 28413341

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Abstract

A Lagrangian particle cloud model is proposed that accounts for the effects of Reynolds-averaged particle and turbulent stresses and the averaged carrier-phase velocity of the subparticle cloud scale on the averaged motion and velocity of the cloud. The SPARSE (subgrid particle averaged Reynolds stress equivalent) model is based on a combination of a truncated Taylor expansion of a drag correction function and Reynolds averaging. It reduces the required number of computational parcels to trace a cloud of particles in Eulerian–Lagrangian methods for the simulation of particle-laden flow. Closure is performed in an a priori manner using a reference simulation where all particles in the cloud are traced individually with a point-particle model. Comparison of a first-order model and SPARSE with the reference simulation in one dimension shows that both the stress and the averaging of the carrier-phase velocity on the cloud subscale affect the averaged motion of the particle. A three-dimensional isotropic turbulence computation shows that only one computational parcel is sufficient to accurately trace a cloud of tens of thousands of particles.

1006

Eulerian–Lagrangian

large eddy simulation

particle modelling

subscale modelling

Details

Title: Subtitle: SPARSE—A subgrid particle averaged Reynolds stress equivalent model: testing with a priori closure
Creators: Sean L Davis - San Diego State University
Gustaaf B Jacobs - San Diego State University
Oishik Sen - The University of Iowa
H. S Udaykumar - The University of Iowa
Resource Type: Journal article
Publication Details: Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, Vol.473(2199), pp.20160769-20160769
DOI: 10.1098/rspa.2016.0769
PMID: 28413341
PMCID: PMC5378239
NLM abbreviation: Proc Math Phys Eng Sci
ISSN: 1364-5021
eISSN: 1471-2946
Publisher: The Royal Society Publishing
Grant note: FA9550-16-1-0808 / ;
Alternative title: SPARSE: a particle cloud model
Language: English
Date published: 03/2017
Academic Unit: IIHR--Hydroscience and Engineering; Injury Prevention Research Center; Mechanical Engineering
Record Identifier: 9984121965602771

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