skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A direct comparison of particle-resolved and point-particle methods in decaying turbulence

Abstract

We use particle-resolved direct numerical simulation (PR-DNS) as a model-free physics-based numerical approach to validate particle acceleration modelling in gas-solid suspensions. To isolate the effect of the particle acceleration model, we focus on point-particle direct numerical simulation (PP-DNS) of a collision-free dilute suspension with solid-phase volume fraction$$\unicode[STIX]{x1D719}=0.001$$in a decaying isotropic turbulent particle-laden flow. The particle diameter$$d_{p}$$in the suspension is chosen to be the same as the initial Kolmogorov length scale$$\unicode[STIX]{x1D702}_{0}$$($$d_{p}/\unicode[STIX]{x1D702}_{0}=1$$) in order to overlap with the regime where PP-DNS is valid. We assess the point-particle acceleration model for two different particle Stokes numbers,$$St_{\unicode[STIX]{x1D702}}=1$$and 100. For the high Stokes number case, the Stokes drag model for particle acceleration under-predicts the true particle acceleration. In addition, second moment quantities which play key roles in the physical evolution of the gas–solid suspension are not correctly captured. Considering finite Reynolds number corrections to the acceleration model improves the prediction of the particle acceleration probability density function and second moment statistics of the point-particle model compared with the particle-resolved simulation. We also find that accounting for the undisturbed fluid velocity in the acceleration model can be of greater importance than using the most appropriate acceleration model for a given physical problem.

Authors:
; ; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States); Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Fossil Energy (FE)
OSTI Identifier:
1538914
DOE Contract Number:  
FC26-07NT43098; NA0002373
Resource Type:
Journal Article
Journal Name:
Journal of Fluid Mechanics
Additional Journal Information:
Journal Volume: 850; Journal ID: ISSN 0022-1120
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
Mechanics; Physics

Citation Formats

Mehrabadi, M., Horwitz, J. A. K., Subramaniam, S., and Mani, A. A direct comparison of particle-resolved and point-particle methods in decaying turbulence. United States: N. p., 2018. Web. doi:10.1017/jfm.2018.442.
Mehrabadi, M., Horwitz, J. A. K., Subramaniam, S., & Mani, A. A direct comparison of particle-resolved and point-particle methods in decaying turbulence. United States. doi:10.1017/jfm.2018.442.
Mehrabadi, M., Horwitz, J. A. K., Subramaniam, S., and Mani, A. Wed . "A direct comparison of particle-resolved and point-particle methods in decaying turbulence". United States. doi:10.1017/jfm.2018.442.
@article{osti_1538914,
title = {A direct comparison of particle-resolved and point-particle methods in decaying turbulence},
author = {Mehrabadi, M. and Horwitz, J. A. K. and Subramaniam, S. and Mani, A.},
abstractNote = {We use particle-resolved direct numerical simulation (PR-DNS) as a model-free physics-based numerical approach to validate particle acceleration modelling in gas-solid suspensions. To isolate the effect of the particle acceleration model, we focus on point-particle direct numerical simulation (PP-DNS) of a collision-free dilute suspension with solid-phase volume fraction$\unicode[STIX]{x1D719}=0.001$in a decaying isotropic turbulent particle-laden flow. The particle diameter$d_{p}$in the suspension is chosen to be the same as the initial Kolmogorov length scale$\unicode[STIX]{x1D702}_{0}$($d_{p}/\unicode[STIX]{x1D702}_{0}=1$) in order to overlap with the regime where PP-DNS is valid. We assess the point-particle acceleration model for two different particle Stokes numbers,$St_{\unicode[STIX]{x1D702}}=1$and 100. For the high Stokes number case, the Stokes drag model for particle acceleration under-predicts the true particle acceleration. In addition, second moment quantities which play key roles in the physical evolution of the gas–solid suspension are not correctly captured. Considering finite Reynolds number corrections to the acceleration model improves the prediction of the particle acceleration probability density function and second moment statistics of the point-particle model compared with the particle-resolved simulation. We also find that accounting for the undisturbed fluid velocity in the acceleration model can be of greater importance than using the most appropriate acceleration model for a given physical problem.},
doi = {10.1017/jfm.2018.442},
journal = {Journal of Fluid Mechanics},
issn = {0022-1120},
number = ,
volume = 850,
place = {United States},
year = {2018},
month = {7}
}

Works referenced in this record:

Numerical Considerations in Simulating a Turbulent Suspension of Finite-Volume Particles
journal, March 1996

  • Sundaram, Shivshankar; Collins, Lance R.
  • Journal of Computational Physics, Vol. 124, Issue 2
  • DOI: 10.1006/jcph.1996.0064

On the role of the history force for inertial particles in turbulence
journal, October 2015


Stochastic Lagrangian model for hydrodynamic acceleration of inertial particles in gas–solid suspensions
journal, January 2016

  • Tenneti, Sudheer; Mehrabadi, Mohammad; Subramaniam, Shankar
  • Journal of Fluid Mechanics, Vol. 788
  • DOI: 10.1017/jfm.2015.693

Experimental Investigation of the Wake behind a Sphere at Low Reynolds Numbers
journal, October 1956

  • Taneda, Sadatoshi
  • Journal of the Physical Society of Japan, Vol. 11, Issue 10
  • DOI: 10.1143/JPSJ.11.1104

Modeling average gas–solid heat transfer using particle-resolved direct numerical simulation
journal, July 2015


A Two-Phase Cinematic PIV Method for Bubbly Flows
journal, September 1997

  • Oakley, T. R.; Loth, E.; Adrian, R. J.
  • Journal of Fluids Engineering, Vol. 119, Issue 3
  • DOI: 10.1115/1.2819302

Mechanism of kinetic energy transfer in homogeneous bidisperse gas-solid flow and its implications for segregation
journal, February 2017

  • Mehrabadi, Mohammad; Subramaniam, Shankar
  • Physics of Fluids, Vol. 29, Issue 2
  • DOI: 10.1063/1.4974502

A scaling analysis of added-mass and history forces and their coupling in dispersed multiphase flows
journal, December 2013


On the motion of particles in turbulent duct flows
journal, April 1982


Improving particle drag predictions in Euler–Lagrange simulations with two-way coupling
journal, June 2017


Correction scheme for point-particle models applied to a nonlinear drag law in simulations of particle-fluid interaction
journal, April 2018


Accurate calculation of Stokes drag for point–particle tracking in two-way coupled flows
journal, August 2016


Exact regularized point particle method for multiphase flows in the two-way coupling regime
journal, May 2015

  • Gualtieri, P.; Picano, F.; Sardina, G.
  • Journal of Fluid Mechanics, Vol. 773
  • DOI: 10.1017/jfm.2015.258

Digital image analysis measurements of bed expansion and segregation dynamics in dense gas-fluidised beds
journal, December 2003


Lattice Boltzmann simulation of turbulent flow laden with finite-size particles
journal, January 2013


Forcing homogeneous turbulence in direct numerical simulation of particulate flow with interface resolution and gravity
journal, December 2015

  • Chouippe, Agathe; Uhlmann, Markus
  • Physics of Fluids, Vol. 27, Issue 12
  • DOI: 10.1063/1.4936274

On the physical mechanisms of two-way coupling in particle-laden isotropic turbulence
journal, February 2003

  • Ferrante, A.; Elghobashi, S.
  • Physics of Fluids, Vol. 15, Issue 2
  • DOI: 10.1063/1.1532731

Application of the direct quadrature method of moments to polydisperse gas–solid fluidized beds
journal, January 2004


Acceleration statistics of finite-sized particles in turbulent flow: the role of Faxén forces
journal, July 2009


Direct numerical simulation of turbulence modulation by particles in isotropic turbulence
journal, November 1998


Sedimentation in a dilute dispersion of spheres
journal, March 1972


Turbulent Dispersed Multiphase Flow
journal, January 2010


Effect of Dispersed Phase on Modification of Turbulent Flow in a Wall Jet
journal, June 1996

  • Sato, Yohei; Hishida, Koichi; Maeda, Masanobu
  • Journal of Fluids Engineering, Vol. 118, Issue 2
  • DOI: 10.1115/1.2817378

Effect of turbulence on the drag and lift of a particle
journal, November 2003

  • Bagchi, P.; Balachandar, S.
  • Physics of Fluids, Vol. 15, Issue 11
  • DOI: 10.1063/1.1616031

On the two‐way interaction between homogeneous turbulence and dispersed solid particles. II. Particle dispersion
journal, March 1994

  • Truesdell, G. C.; Elghobashi, S.
  • Physics of Fluids, Vol. 6, Issue 3
  • DOI: 10.1063/1.868254

Fully resolved simulations of colliding monodisperse spheres in forced isotropic turbulence
journal, January 1999


Equation of motion for a small rigid sphere in a nonuniform flow
journal, January 1983


Pseudo-turbulent heat flux and average gas–phase conduction during gas–solid heat transfer: flow past random fixed particle assemblies
journal, June 2016

  • Sun, Bo; Tenneti, Sudheer; Subramaniam, Shankar
  • Journal of Fluid Mechanics, Vol. 798
  • DOI: 10.1017/jfm.2016.290

Role of fluid heating in dense gas–solid flow as revealed by particle-resolved direct numerical simulation
journal, March 2013


Kinetic theory for a monodisperse gas–solid suspension
journal, October 1990

  • Koch, Donald L.
  • Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 10
  • DOI: 10.1063/1.857698

On the two‐way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification
journal, July 1993

  • Elghobashi, S.; Truesdell, G. C.
  • Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 7
  • DOI: 10.1063/1.858854

Mixing and segregation in a bidisperse gas–solid fluidised bed: a numerical and experimental study
journal, February 2004


Particle-Resolved Direct Numerical Simulation for Gas-Solid Flow Model Development
journal, January 2014


The Motion of Two Spheres in a Viscous Fluid
journal, May 1926

  • Stimson, M.; Jeffery, G. B.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 111, Issue 757
  • DOI: 10.1098/rspa.1926.0053

Consistent modeling of interphase turbulent kinetic energy transfer in particle-laden turbulent flows
journal, August 2007

  • Xu, Ying; Subramaniam, Shankar
  • Physics of Fluids, Vol. 19, Issue 8
  • DOI: 10.1063/1.2756579

Stokes flow through periodic arrays of spheres
journal, February 1982


A second-order method for three-dimensional particle simulation
journal, November 2005


General solution of the particle momentum equation in unsteady Stokes flows
journal, September 1998


Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. Direct numerical simulations
journal, March 1997


Is Stokes number an appropriate indicator for turbulence modulation by particles of Taylor-length-scale size?
journal, February 2011

  • Lucci, Francesco; Ferrante, Antonino; Elghobashi, Said
  • Physics of Fluids, Vol. 23, Issue 2
  • DOI: 10.1063/1.3553279

Direct numerical simulation of horizontal open channel flow with finite-size, heavy particles at low solid volume fraction
journal, February 2013


Application of a fractional-step method to incompressible Navier-Stokes equations
journal, June 1985


Equation of motion for a sphere in non-uniform compressible flows
journal, April 2012

  • Parmar, M.; Haselbacher, A.; Balachandar, S.
  • Journal of Fluid Mechanics, Vol. 699
  • DOI: 10.1017/jfm.2012.109

An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence
journal, December 1988


Direct simulation of particle dispersion in a decaying isotropic turbulence
journal, September 1992


The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds number
journal, November 1993


Development of a gas–solid drag law for clustered particles using particle-resolved direct numerical simulation
journal, October 2016

  • Mehrabadi, Mohammad; Murphy, Eric; Subramaniam, Shankar
  • Chemical Engineering Science, Vol. 152
  • DOI: 10.1016/j.ces.2016.06.006

PIV Technique for the Simultaneous Measurement of Dilute Two-Phase Flows
journal, July 2000

  • Kiger, K. T.; Pan, C.
  • Journal of Fluids Engineering, Vol. 122, Issue 4
  • DOI: 10.1115/1.1314864

On the accuracy of Lagrangian point-mass models for heavy non-spherical particles in isotropic turbulence
journal, August 2017


Settling of heated particles in homogeneous turbulence
journal, March 2016

  • Frankel, Ari; Pouransari, H.; Coletti, F.
  • Journal of Fluid Mechanics, Vol. 792
  • DOI: 10.1017/jfm.2016.102

Fully resolved simulations of particle-turbulence interaction
journal, December 2005


Importance of the fluid-particle drag model in predicting segregation in bidisperse gas-solid flow
journal, November 2016


Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence
journal, May 1991


Preferential concentration of particles by turbulence
journal, May 1991

  • Squires, Kyle D.; Eaton, John K.
  • Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5
  • DOI: 10.1063/1.858045

The effect of the Basset history force on particle clustering in homogeneous and isotropic turbulence
journal, April 2014

  • Olivieri, S.; Picano, F.; Sardina, G.
  • Physics of Fluids, Vol. 26, Issue 4
  • DOI: 10.1063/1.4871480

Pairwise interaction extended point-particle model for a random array of monodisperse spheres
journal, January 2017

  • Akiki, G.; Jackson, T. L.; Balachandar, S.
  • Journal of Fluid Mechanics, Vol. 813
  • DOI: 10.1017/jfm.2016.877

Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres
journal, November 2011


Finite-size effects in the dynamics of neutrally buoyant particles in turbulent flow
journal, April 2010


The interaction between a solid particle and a turbulent flow
journal, March 2010


Study of forced turbulence and its modulation by finite-size solid particles using the lattice Boltzmann approach
journal, February 2014

  • Wang, Lian-Ping; Ayala, Orlando; Gao, Hui
  • Computers & Mathematics with Applications, Vol. 67, Issue 2
  • DOI: 10.1016/j.camwa.2013.04.001

Diffusion experiments with numerically integrated isotropic turbulence
journal, January 1974


The effect of small particles on fluid turbulence in a flat‐plate, turbulent boundary layer in air
journal, May 1991

  • Rogers, C. B.; Eaton, J. K.
  • Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5
  • DOI: 10.1063/1.857969

A discrete numerical model for granular assemblies
journal, March 1979


Effect of preferential concentration on turbulent collision rates
journal, January 2000

  • Reade, Walter C.; Collins, Lance R.
  • Physics of Fluids, Vol. 12, Issue 10
  • DOI: 10.1063/1.1288515

Methods for evaluating fluid velocities in spectral simulations of turbulence
journal, July 1989


The hydrodynamic interaction of two small freely-moving spheres in a linear flow field
journal, November 1972


A comprehensive probability density function formalism for multiphase flows
journal, June 2009


On the equation of motion for a particle in turbulent fluid
journal, March 1956

  • Corrsin, S.; Lumley, J.
  • Applied Scientific Research, Vol. 6, Issue 2-3
  • DOI: 10.1007/BF03185030

Particle resolved direct numerical simulation of a liquid–solid fluidized bed: Comparison with experimental data
journal, March 2017


A numerical study of the modulation of isotropic turbulence by suspended particles
journal, January 1999


Effect of Particle Clusters on Carrier Flow Turbulence: A Direct Numerical Simulation Study
journal, September 2010


Pairwise-interaction extended point-particle model for particle-laden flows
journal, December 2017