Reaction analogy based forcing for incompressible scalar turbulence
Abstract
Here, we present a novel reaction analogy (RA) based forcing method for generating statistically stationary scalar fields in incompressible turbulence. The new method can produce more general scalar probability density functions (PDFs), for example, quasidouble $\delta $ PDF, than current methods, while ensuring that scalar fields remain bounded, unlike existent forcing methodologies that can potentially violate naturally existing bounds. Such features are useful for generating initial fields in nonpremixed combustion, inlet conditions for spatially developing flows, or for studying nonGaussian scalar turbulence. The RA method mathematically models hypothetical chemical reactions that convert reactants in a mixed state back into its pure unmixed components. Various types of chemical reactions are formulated and the corresponding mathematical expressions derived such that the reaction term is smooth in scalar space and is consistent with mass conservation. For large values of the scalar forcing rate, the method produces statistically stationary quasidouble $\delta $ scalar PDFs. Quasiuniform, Gaussian, and stretched exponential scalar statistics are recovered for smaller values of the scalar forcing rate. The shape of the scalar PDF can be further controlled by changing the stoichiometric coefficients of the reaction. Finally, the ability of the new method to produce fully developed passive scalar fields with quasiGaussian PDFs is also investigated, by exploring the convergence of the scalar variance spectrum to the ObukhovCorrsin scaling and of the thirdorder mixed structure function to the “fourthirds” Yaglom's law.
 Authors:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 ChungAng Univ., Seoul (Korea, Republic of). School of Mechanical Engineering
 Publication Date:
 Research Org.:
 Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1477698
 Alternate Identifier(s):
 OSTI ID: 1468870
 Report Number(s):
 LAUR1822664
Journal ID: ISSN 2469990X
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Fluids
 Additional Journal Information:
 Journal Volume: 3; Journal Issue: 9; Journal ID: ISSN 2469990X
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; mixing; turbulence
Citation Formats
Daniel, Don, Livescu, Daniel, and Ryu, Jaiyoung. Reaction analogy based forcing for incompressible scalar turbulence. United States: N. p., 2018.
Web. doi:10.1103/PhysRevFluids.3.094602.
Daniel, Don, Livescu, Daniel, & Ryu, Jaiyoung. Reaction analogy based forcing for incompressible scalar turbulence. United States. https://doi.org/10.1103/PhysRevFluids.3.094602
Daniel, Don, Livescu, Daniel, and Ryu, Jaiyoung. Thu .
"Reaction analogy based forcing for incompressible scalar turbulence". United States. https://doi.org/10.1103/PhysRevFluids.3.094602. https://www.osti.gov/servlets/purl/1477698.
@article{osti_1477698,
title = {Reaction analogy based forcing for incompressible scalar turbulence},
author = {Daniel, Don and Livescu, Daniel and Ryu, Jaiyoung},
abstractNote = {Here, we present a novel reaction analogy (RA) based forcing method for generating statistically stationary scalar fields in incompressible turbulence. The new method can produce more general scalar probability density functions (PDFs), for example, quasidoubleδ PDF, than current methods, while ensuring that scalar fields remain bounded, unlike existent forcing methodologies that can potentially violate naturally existing bounds. Such features are useful for generating initial fields in nonpremixed combustion, inlet conditions for spatially developing flows, or for studying nonGaussian scalar turbulence. The RA method mathematically models hypothetical chemical reactions that convert reactants in a mixed state back into its pure unmixed components. Various types of chemical reactions are formulated and the corresponding mathematical expressions derived such that the reaction term is smooth in scalar space and is consistent with mass conservation. For large values of the scalar forcing rate, the method produces statistically stationary quasidoubleδ scalar PDFs. Quasiuniform, Gaussian, and stretched exponential scalar statistics are recovered for smaller values of the scalar forcing rate. The shape of the scalar PDF can be further controlled by changing the stoichiometric coefficients of the reaction. Finally, the ability of the new method to produce fully developed passive scalar fields with quasiGaussian PDFs is also investigated, by exploring the convergence of the scalar variance spectrum to the ObukhovCorrsin scaling and of the thirdorder mixed structure function to the “fourthirds” Yaglom's law.},
doi = {10.1103/PhysRevFluids.3.094602},
journal = {Physical Review Fluids},
number = 9,
volume = 3,
place = {United States},
year = {2018},
month = {9}
}
Web of Science
Figures / Tables:
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Works referencing / citing this record:
Numerical forcing scheme to generate passive scalar mixing on the centerline of turbulent round jets in a triply periodic box
journal, December 2019
 Rah, Kyupaeck Jeff; Blanquart, Guillaume
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Figures / Tables found in this record: