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. |
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| 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] |
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| Database: | Engineering Source |
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