A correction procedure for self-induced velocity of a finite-sized particle in two-way coupled Euler–Lagrange simulations

Balachandar, S.; Liu, Kai

doi:10.1016/j.ijmultiphaseflow.2022.104316

A correction procedure for self-induced velocity of a finite-sized particle in two-way coupled Euler–Lagrange simulations

Journal Article · Mon Nov 07 23:00:00 EST 2022 · International Journal of Multiphase Flow

DOI:https://doi.org/10.1016/j.ijmultiphaseflow.2022.104316· OSTI ID:2417883

Balachandar, S. ^[1]; Liu, Kai ^[2]

Univ. of Florida, Gainesville, FL (United States); OSTI
Univ. of Florida, Gainesville, FL (United States); Zhejiang Univ., Hangzhou (China)

The importance of incorporating a correction to undo the self-induced perturbation velocity of a particle, when its size becomes comparable to the Eulerian grid, in a two-way coupled Euler–Lagrange (EL) simulation is now well appreciated. The present work improves upon the prior correction procedures in a few important ways. First, the past correction procedures have been scalar-based with the assumption that the quasi-steady force is the source of self-induced velocity perturbation. Here we generalize to a vector correction procedure and thereby the directions of feedback force and relative velocity can be different. This allows the correction procedure to be used even in the presence of added-mass, history, and lift forces. Second, the effect of a nearby wall has been systematically included in the correction procedure. The correction procedure depends on fundamental Oseen solutions of streamwise and transverse regularized feedback forces. We present a Fourier transform-based analytical approach to obtaining these regularized Oseen solutions. We also present a step-by-step numerical procedure for obtaining the Oseen solutions in any EL code. With the analytical or numerical Oseen functions, the correction procedure can be easily implemented in any EL code. Iterations are required in solving the implicit correction equations and it is demonstrated that the correction procedure converges rapidly within three or four iterations. In conclusion, a simple empirical approach is also presented to account for unsteady effects in the correction procedure.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Florida, Gainesville, FL (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP); US Department of the Navy, Office of Naval Research (ONR)

Grant/Contract Number:: NA0002378

OSTI ID:: 2417883

Alternate ID(s):: OSTI ID: 1899806

Journal Information:: International Journal of Multiphase Flow, Journal Name: International Journal of Multiphase Flow Journal Issue: C Vol. 159; ISSN 0301-9322

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

97 MATHEMATICS AND COMPUTING
Correction model
Euler-Lagrange methodology
Finite size
Mechanics
Point-particle model
Self-induced velocity
Two-way coupled

A correction procedure for self-induced velocity of a finite-sized particle in two-way coupled Euler–Lagrange simulations

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