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Twoway coupled particleturbulence interaction: Effect of numerics and resolution on fluid and particle statistics
Abstract
EulerLagrange pointparticle simulation has emerged as a premier methodology for studying dispersed particleladen flows. This method's popularity stems from its ability to resolve finescale fluid structures while also tracking individual particles at reduced cost using an appropriate particle acceleration model. However, the pointparticle model has known convergence issues in that refinement of the fluid grid can lead to changes in the predicted statistics. The reasons for nonconvergence are twofold: the pointparticle twoway coupling force in the NavierStokes equations requires a numerical regularization and, without careful implementation, yields a singular force on the fluid with grid refinement. The second factor that yields griddependent statistics is that the pointparticle force model in general depends on the undisturbed fluid velocity. When the undisturbed fluid velocity is not robustly modeled in a gridinsensitive way, the calculated force for both particles and fluid will be griddependent, contaminating their respective statistics. While the first issue regarding regularizing the pointparticle source term has received attention in the literature, the consequences of robustly modeling the undisturbed velocity in the context of grid refinement of turbulence has received little attention. Here, we consider decaying homogeneous isotropic turbulence laden with particles at different Stokes numbers. For a given Stokes number,more »
 Authors:

 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Stanford Univ., CA (United States)
 Stanford Univ., CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
 OSTI Identifier:
 1673189
 Report Number(s):
 LLNLJRNL791338
Journal ID: ISSN 2469990X; 988559
 Grant/Contract Number:
 AC5207NA27344; NA0002373; DGE114747
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Fluids
 Additional Journal Information:
 Journal Volume: 5; Journal Issue: 10; Journal ID: ISSN 2469990X
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; pointparticle; EulerLagrange; grid convergence; twoway coupling
Citation Formats
Horwitz, J. A. K., and Mani, A. Twoway coupled particleturbulence interaction: Effect of numerics and resolution on fluid and particle statistics. United States: N. p., 2020.
Web. https://doi.org/10.1103/physrevfluids.5.104302.
Horwitz, J. A. K., & Mani, A. Twoway coupled particleturbulence interaction: Effect of numerics and resolution on fluid and particle statistics. United States. https://doi.org/10.1103/physrevfluids.5.104302
Horwitz, J. A. K., and Mani, A. Mon .
"Twoway coupled particleturbulence interaction: Effect of numerics and resolution on fluid and particle statistics". United States. https://doi.org/10.1103/physrevfluids.5.104302.
@article{osti_1673189,
title = {Twoway coupled particleturbulence interaction: Effect of numerics and resolution on fluid and particle statistics},
author = {Horwitz, J. A. K. and Mani, A.},
abstractNote = {EulerLagrange pointparticle simulation has emerged as a premier methodology for studying dispersed particleladen flows. This method's popularity stems from its ability to resolve finescale fluid structures while also tracking individual particles at reduced cost using an appropriate particle acceleration model. However, the pointparticle model has known convergence issues in that refinement of the fluid grid can lead to changes in the predicted statistics. The reasons for nonconvergence are twofold: the pointparticle twoway coupling force in the NavierStokes equations requires a numerical regularization and, without careful implementation, yields a singular force on the fluid with grid refinement. The second factor that yields griddependent statistics is that the pointparticle force model in general depends on the undisturbed fluid velocity. When the undisturbed fluid velocity is not robustly modeled in a gridinsensitive way, the calculated force for both particles and fluid will be griddependent, contaminating their respective statistics. While the first issue regarding regularizing the pointparticle source term has received attention in the literature, the consequences of robustly modeling the undisturbed velocity in the context of grid refinement of turbulence has received little attention. Here, we consider decaying homogeneous isotropic turbulence laden with particles at different Stokes numbers. For a given Stokes number, we systematically refine the grid and demonstrate that explicitly modeling the undisturbed fluid velocity yields relative grid insensitivity for the energy of the particle and fluid phases, as well as acceleration of the particles. We also demonstrate that an appropriately defined dissipation rate is also gridinsensitive when an undisturbed fluid velocity correction is used. In contrast, when the undisturbed fluid velocity is modeled using the conventional approach of interpolating the local fluid velocity to the particle location, we show this procedure yields divergent statistics with grid refinement. In particular, we show that higherorder interpolation of the fluid velocity in twoway coupled problems is worse than lowerorder interpolation, in the absence of a correction procedure to estimate the undisturbed fluid velocity. We also examine velocity derivative statistics of the fluid phase and demonstrate that these statistics are not in general convergent even when the undisturbed fluid velocity is explicitly modeled. Collectively, the observations in this paper are used to present a philosophy on the types of questions which are answerable with pointparticle methods.},
doi = {10.1103/physrevfluids.5.104302},
journal = {Physical Review Fluids},
number = 10,
volume = 5,
place = {United States},
year = {2020},
month = {10}
}
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