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

Title: Toward particle-resolved accuracy in Euler–Lagrange simulations of multiphase flow using machine learning and pairwise interaction extended point-particle (PIEP) approximation

Journal Article · · Theoretical and Computational Fluid Dynamics
ORCiD logo [1];  [1];  [2];  [1]
  1. Univ. of Florida, Gainesville, FL (United States)
  2. Univ. of Florida, Gainesville, FL (United States); Notre Dame Univ. - Louaize, Zouk Mosbeh (Lebanon)

This study presents two different machine learning approaches for the modeling of hydrodynamic force on particles in a particle-laden multiphase flow. Results from particle-resolved direct numerical simulations (PR-DNS) of flow over a random array of stationary particles for eight combinations of particle Reynolds number (Re) and volume fraction (φ) are used in the development of the models. The first approach follows a two-step process. In the first flow prediction step, the perturbation flow due to a particle is obtained as an axisymmetric superposable wake using linear regression. In the second force prediction step, the force on a particle is evaluated in terms of the perturbation flow induced by all its neighbors using the generalized Faxén form of the force expression. In the second approach, the force data on all the particles from the PR-DNS simulations are used to develop an artificial neural network (ANN) model for direct prediction of force on a particle. Due to the unavoidable limitation on the number of fully resolved particles in the PR-DNS simulations, direct force prediction with the ANN model tends to over-fit the data and performs poorly in the prediction of test data. In contrast, due to the millions of grid points used in the PR-DNS simulations, accurate flow prediction is possible, which then allows accurate prediction of particle force. This hybridization of multiphase physics and machine learning is particularly important, since it blends the strength of each, and the resulting pairwise interaction extended point-particle model cannot be developed by either physics or machine learning alone.

Research Organization:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0002378
OSTI ID:
1801095
Journal Information:
Theoretical and Computational Fluid Dynamics, Vol. 34, Issue 4; ISSN 0935-4964
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (30)

On the Settling Speed of Free and Fixed Suspensions journal June 1973
Shear versus vortex-induced lift force on a rigid sphere at moderate Re journal December 2002
A scalable Euler–Lagrange approach for multiphase flow simulation on spectral elements journal August 2019
Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres journal January 2007
Self-induced velocity correction for improved drag estimation in Euler–Lagrange point-particle simulations journal January 2019
The added mass, Basset, and viscous drag coefficients in nondilute bubbly liquids undergoing small‐amplitude oscillatory motion journal December 1991
Pairwise-interaction extended point-particle model for particle-laden flows journal December 2017
Drag correlation for dilute and moderately dense fluid-particle systems using the lattice Boltzmann method journal January 2015
An Euler–Lagrange strategy for simulating particle-laden flows journal April 2013
Self-induced temperature correction for inter-phase heat transfer in Euler-Lagrange point-particle simulation journal November 2019
Pairwise interaction extended point-particle model for a random array of monodisperse spheres journal January 2017
Particle-resolved numerical simulations of the gas–solid heat transfer in arrays of random motionless particles journal February 2019
Turbulent Dispersed Multiphase Flow journal January 2010
Fluid Mechanical Description of Fluidized Beds. Equations of Motion journal November 1967
Heat transfer in an assembly of ellipsoidal particles at low to moderate Reynolds numbers journal November 2017
Force variation within arrays of monodisperse spherical particles journal August 2016
Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres journal November 2011
A hybrid point-particle force model that combines physical and data-driven approaches journal May 2019
A new drag correlation from fully resolved simulations of flow past monodisperse static arrays of spheres journal October 2014
Lattice Boltzmann simulations of low-Reynolds-number flows past fluidized spheres: effect of inhomogeneities on the drag force journal November 2017
Immersed boundary method with non-uniform distribution of Lagrangian markers for a non-uniform Eulerian mesh journal February 2016
Modifying the inter-phase drag via solid volume fraction gradient for CFD simulation of fast fluidized beds journal February 2017
Lagrangian investigation of pseudo-turbulence in multiphase flow using superposable wakes journal November 2019
A supervised machine learning approach for predicting variable drag forces on spherical particles in suspension journal March 2019
Improving particle drag predictions in Euler–Lagrange simulations with two-way coupling journal June 2017
Effect of free rotation on the motion of a solid sphere in linear shear flow at moderate Re journal August 2002
Faxén form of time-domain force on a sphere in unsteady spatially varying viscous compressible flows journal March 2017
Equation of motion for a small rigid sphere in a nonuniform flow journal January 1983
A new relation of drag force for high Stokes number monodisperse spheres by direct numerical simulation journal November 2014
Variation of drag, lift and torque in a suspension of ellipsoidal particles journal July 2018

Similar Records

Pairwise interaction extended point-particle model for a random array of monodisperse spheres
Journal Article · Thu Jan 26 00:00:00 EST 2017 · Journal of Fluid Mechanics · OSTI ID:1801095

Pairwise-interaction extended point-particle model for particle-laden flows
Journal Article · Fri Dec 15 00:00:00 EST 2017 · Journal of Computational Physics · OSTI ID:1801095

Compressible pairwise interaction extended point-particle model for force prediction of shock-particle bed interaction
Journal Article · Tue May 30 00:00:00 EDT 2023 · Physical Review Fluids (Online) · OSTI ID:1801095