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FLUID-FLUID INTERACTION PROBLEMS AT HIGH REYNOLDS NUMBERS: REDUCING THE MODELING ERROR WITH LES-C.

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Title: FLUID-FLUID INTERACTION PROBLEMS AT HIGH REYNOLDS NUMBERS: REDUCING THE MODELING ERROR WITH LES-C.
Authors: AGGUL, MUSTAFA1 mustafaaggul@hacettepe.edu.tr, LABOVSKY, ALEXANDER E.2 edaonal@hacettepe.edu.tr, ONAL, EDA1 aelabovs@mtu.edu, SCHWIEBERT, KYLE J.2 kjschwie@mtu.edu
Source: SIAM Journal on Numerical Analysis. 2023, Vol. 61 Issue 2, p707-732. 26p.
Subjects: Reynolds number, Computational fluid dynamics, Navier-Stokes equations, Large eddy simulation models, Turbulence, Nonlinear equations
Abstract: We consider a fluid-fluid interaction problem, where two flows (with high Reynolds numbers for one or both of these flows) are coupled through a joint interface. A nonlinear coupling equation, known as the rigid lid condition, creates an extra level of difficulty, typical for atmosphere-ocean problems. We propose a novel turbulence model, NS-ω -C, from the recently introduced family of LES-C (large eddy simulation with correction) models. Combining it with the so-called geometric averaging (GA) partitioning method, we obtain the NS-ω -C-GA model that is shown to possess several key properties. First, the preexisting solvers for the subdomains can be used, which is critical, e.g., for atmosphere-ocean applications. Second, the LES-C turbulence models use defect correction to efficiently reduce the modeling error of the corresponding LES models; we demonstrate numerically that the NS-ω -C model outperforms its LES counterpart, the NS-ω model. It has also been shown recently that it is favorable for an LES model to have the nonfiltered velocity in the interface terms. The NS-ω -C-GA model possesses this important property; we also show it to be stable and have optimal convergence properties. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Numerical Analysis is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 164205681
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  Data: FLUID-FLUID INTERACTION PROBLEMS AT HIGH REYNOLDS NUMBERS: REDUCING THE MODELING ERROR WITH LES-C.
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  Data: <searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Large+eddy+simulation+models%22">Large eddy simulation models</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+equations%22">Nonlinear equations</searchLink>
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  Data: We consider a fluid-fluid interaction problem, where two flows (with high Reynolds numbers for one or both of these flows) are coupled through a joint interface. A nonlinear coupling equation, known as the rigid lid condition, creates an extra level of difficulty, typical for atmosphere-ocean problems. We propose a novel turbulence model, NS-ω -C, from the recently introduced family of LES-C (large eddy simulation with correction) models. Combining it with the so-called geometric averaging (GA) partitioning method, we obtain the NS-ω -C-GA model that is shown to possess several key properties. First, the preexisting solvers for the subdomains can be used, which is critical, e.g., for atmosphere-ocean applications. Second, the LES-C turbulence models use defect correction to efficiently reduce the modeling error of the corresponding LES models; we demonstrate numerically that the NS-ω -C model outperforms its LES counterpart, the NS-ω model. It has also been shown recently that it is favorable for an LES model to have the nonfiltered velocity in the interface terms. The NS-ω -C-GA model possesses this important property; we also show it to be stable and have optimal convergence properties. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of SIAM Journal on Numerical Analysis is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1137/22M1494269
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 26
        StartPage: 707
    Subjects:
      – SubjectFull: Reynolds number
        Type: general
      – SubjectFull: Computational fluid dynamics
        Type: general
      – SubjectFull: Navier-Stokes equations
        Type: general
      – SubjectFull: Large eddy simulation models
        Type: general
      – SubjectFull: Turbulence
        Type: general
      – SubjectFull: Nonlinear equations
        Type: general
    Titles:
      – TitleFull: FLUID-FLUID INTERACTION PROBLEMS AT HIGH REYNOLDS NUMBERS: REDUCING THE MODELING ERROR WITH LES-C.
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            NameFull: AGGUL, MUSTAFA
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            – D: 01
              M: 03
              Text: 2023
              Type: published
              Y: 2023
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