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Finite volume fraction effect on self-induced velocity in two-way coupled Euler-Lagrange simulations
Phys. Rev. Fluids 9, 034306 – Published 27 March, 2024
DOI: https://doi.org/10.1103/PhysRevFluids.9.034306
Abstract
In a two-way coupled Euler-Lagrange (EL) simulation, a particle of size comparable to the local grid spacing results in self-induced perturbation, which must be subtracted to obtain the undisturbed velocity of the particle. Several approaches have been advanced to estimate the self-induced velocity in the limit of an isolated particle. The present work addresses the effect of nonzero volume fraction in predicting the self-induced velocity of particles in an EL simulation. In addition to performing EL simulations of flow over a random distribution of stationary particles, we also perform several hundred companion simulations covering a range of Reynolds number and volume fraction. In each companion simulation we have removed one particle from the random distribution whose undisturbed flow and self-induced velocities are thereby precisely computed. By analyzing the self-induced velocity obtained from these simulations, a number of key conclusions are drawn. The most significant of them is the finding that the self-induced correction procedure of an isolated particle can be applied even at a finite volume fraction, with a simple volume fraction dependent modification, in order to accurately capture the average behavior.
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References (33)
- S. Balachandar and K. Liu, A correction procedure for self-induced velocity of a finite-sized particle in two-way coupled euler–lagrange simulations, Int. J. Multiphase Flow 159, 104316 (2023).
- S. Balachandar, K. Liu, and M. Lakhote, Self-induced velocity correction for improved drag estimation in euler–lagrange point-particle simulations, J. Comput. Phys. 376, 160 (2019).
- F. Battista, P. Gualtieri, J.-P. Mollicone, and C. M. Casciola, Application of the exact regularized point particle method (erpp) to particle laden turbulent shear flows in the two-way coupling regime, Int. J. Multiphase Flow 101, 113 (2018).
- F. Battista, J.-P. Mollicone, P. Gualtieri, R. Messina, and C. M. Casciola, Exact regularized point particle (erpp) method for particle-laden wall-bounded flows in the two-way coupling regime, J. Fluid Mech. 878, 420 (2019).
- E. Climent and M. R. Maxey, The force coupling method: A flexible approach for the simulation of particulate flows, in Theoretical Methods for Micro Scale Viscous Flows (Transworld Research Network, Kerala, India, 2009), pp. 1–21.
- M. Esmaily and J. A. K. Horwitz, A correction scheme for two-way coupled point-particle simulations on anisotropic grids, J. Comput. Phys. 375, 960 (2018).
- F. Evrard, F. Denner, and B. van Wachem, Euler-lagrange modelling of dilute particle-laden flows with arbitrary particle-size to mesh-spacing ratio, J. Computat. Phys.: X 8, 100078 (2020).
- T. Fukada, W. Fornari, L. Brandt, S. Takeuchi, and T. Kajishima, A numerical approach for particle-vortex interactions based on volume-averaged equations, Int. J. Multiphase Flow 104, 188 (2018).
- T. Fukada, S. Takeuchi, and T. Kajishima, Interaction force and residual stress models for volume-averaged momentum equation for flow laden with particles of comparable diameter to computational grid width, Int. J. Multiphase Flow 85, 298 (2016).
- P. Gualtieri, F. Picano, G. Sardina, and C. M. Casciola, Exact regularized point particle method for multiphase flows in the two-way coupling regime, J. Fluid Mech. 773, 520 (2015).
- J. A. K. Horwitz, Improved force models for euler–lagrange computations, in Modeling Approaches and Computational Methods for Particle-Laden Turbulent Flows (Elsevier, Amsterdam, 2023), pp. 265–298.
- J. A. K. Horwitz, G. Iaccarino, J. K. Eaton, and A. Mani, The discrete green's function paradigm for two-way coupled euler–lagrange simulation, J. Fluid Mech. 931, A3 (2022).
- J. A. K. Horwitz and A. Mani, Accurate calculation of stokes drag for point–particle tracking in two-way coupled flows, J. Comput. Phys. 318, 85 (2016).
- J. A. K. Horwitz and A. Mani, Correction scheme for point-particle models applied to a nonlinear drag law in simulations of particle-fluid interaction, Int. J. Multiphase Flow 101, 74 (2018).
- P. J. Ireland and O. Desjardins, Improving particle drag predictions in euler–lagrange simulations with two-way coupling, J. Comput. Phys. 338, 405 (2017).
- N. A. Keane, S. V. Apte, S. S. Jain, and M. A. Khanwale, Effect of interpolation kernels and grid refinement on two way-coupled point-particle simulations, Int. J. Multiphase Flow 166, 104517 (2023).
- T. Lesaffre, A. Pestre, E. Riber, and B. Cuenot, Correction methods for exchange source terms in unstructured Euler-Lagrange solvers with point-source approximation, Flow Turbul. Combust. 112, 831 (2023).
- K. Liu, M. Lakhote, and S. Balachandar, Self-induced temperature correction for inter-phase heat transfer in euler-lagrange point-particle simulation, J. Comput. Phys. 396, 596 (2019).
- S. Lomholt and M. R. Maxey, Force-coupling method for particulate two-phase flow: Stokes flow, J. Comput. Phys. 184, 381 (2003).
- M. R. Maxey and B. K. Patel, Localized force representations for particles sedimenting in stokes flow, Int. J. Multiphase Flow 27, 1603 (2001).
- P. Pakseresht and S. V. Apte, A disturbance corrected point-particle approach for two-way coupled particle-laden flows on arbitrary shaped grids, J. Comput. Phys. 439, 110381 (2021).
- P. Pakseresht, M. Esmaily, and S. V. Apte, A correction scheme for wall-bounded two-way coupled point-particle simulations, J. Comput. Phys. 420, 109711 (2020).
- Y. Pan and S. Banerjee, Numerical simulation of particle interactions with wall turbulence, Phys. Fluids 8, 2733 (1996).
- J.-F. Poustis, J.-M. Senoner, D. Zuzio, and P. Villedieu, Regularization of the lagrangian point force approximation for deterministic discrete particle simulations, Int. J. Multiphase Flow 117, 138 (2019).
- S. Apte, A zonal advection-diffusion-reaction model for self-disturbance correction in point-particle computations, in Center for Turbulence Research-Proceedings of the Summer Program (Standford University, 2022).
- J. Capecelatro and O. Desjardins, An euler–lagrange strategy for simulating particle-laden flows, J. Comput. Phys. 238, 1 (2013).
- K. Liu, M. Allahyari, J. S. Salinas, N. Zgheib, and S. Balachandar, Peering inside a cough or sneeze to explain enhanced airborne transmission under dry weather, Sci. Rep. 11, 9826 (2021).
- K. Liu, P. D. Huck, A. Aliseda, and S. Balachandar, Investigation of turbulent inflow specification in euler–lagrange simulations of mid-field spray, Phys. Fluids 33, 033313 (2021).
- B. Siddani, S. Balachandar, J. Zhou, and S. Subramaniam, Investigating the influence of particle distribution on force and torque statistics using hierarchical machine learning, AIChE J. e18339 (2024).
- G. Akiki, T. L. Jackson, and S. Balachandar, Force variation within arrays of monodisperse spherical particles, Phys. Rev. Fluids 1, 044202 (2016).
- G. Akiki, T. L. Jackson, and S. Balachandar, Pairwise interaction extended point-particle model for a random array of monodisperse spheres, J. Fluid Mech. 813, 882 (2017).
- Z. Cheng and A. Wachs, Hydrodynamic force and torque fluctuations in a random array of polydisperse stationary spheres, Int. J. Multiphase Flow 167, 104524 (2023).
- A. Seyed-Ahmadi and A. Wachs, Microstructure-informed probability-driven point-particle model for hydrodynamic forces and torques in particle-laden flows, J. Fluid Mech. 900, A21 (2020).
