Navier-Stokes Prediction of Internal Flows with a Three-Equation Turbulence Model

Duranti, S.; Pittaluga, Ferruccio

doi:10.2514/2.1075

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…(Daly & Harlow 1970;Sarkar & Lakshmanan 1991;Wei, Zhang & Zhou 2004;Younis, Speziale & Clark 2005). Transport models of the scalar fluxes (and variances) predict the flux from an idealized form of the exact scalar flux budget (Launder 1975;Taulbee & VanOsdol 1991;Yoshizawa et al 1997;Duranti & Pittaluga 2000). The goal of both types of closure paradigms is to predict the influence of the turbulent scalar fluxes on the mean (velocity and scalar) flow.…”

Section: Turbulent Mass Flux Effects In Ihvdtmentioning

confidence: 99%

Wake behind a three-dimensional dry transom stern. Part 2. Analysis and modelling of incompressible highly variable density turbulence

Hendrickson

Yue

2019

J. Fluid Mech.

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We analyse the turbulence characteristics and consider the closure modelling of the air entraining flow in the wake of three-dimensional, rectangular dry transom sterns obtained using high-resolution implicit large eddy simulations (iLES) (Hendrickson et al., J. Fluid Mech., vol. 875, 2019, pp. 854–883). Our focus is the incompressible highly variable density turbulence (IHVDT) in the near surface mixed-phase region ${\mathcal{R}}$ behind the stern. We characterize the turbulence statistics in ${\mathcal{R}}$ and determine it to be highly anisotropic due to quasi-steady wave breaking. Using unconditioned Reynolds decomposition for our analysis, we show that the turbulent mass flux (TMF) is important in IHVDT for the production of turbulent kinetic energy and is as relevant to the mean momentum equations as the Reynolds stresses. We develop a simple, regional explicit algebraic closure model for the TMF based on a functional relationship between the fluxes and tensor flow quantities. A priori tests of the model show mean density gradients and buoyancy effects are the main driving parameters for predicting the turbulent mass flux and the model is capable of capturing the highly localized nature of the TMF in ${\mathcal{R}}$.

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Section: Turbulent Mass Flux Effects In Ihvdtmentioning

confidence: 99%

Wake behind a three-dimensional dry transom stern. Part 2. Analysis and modelling of incompressible highly variable density turbulence

Hendrickson

Yue

2019

J. Fluid Mech.

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A Two-Time-Scale Turbulence Model and Its Application in Free Shear Flows

Gul,

Yangaz,

Sen

2024

Applied Sciences

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A novel three-equation turbulence model has been proposed as a potential solution to overcome some of the issues related to the k–ε models of turbulence. A number of turbulence models found in the literature designed for compressed turbulence within internal combustion engine cylinders tend to exhibit limitations when applied to turbulent shear flows, such as those occurring through intake or exhaust valves of the engine. In the event that the flow is out of equilibrium where Pk deviates from ε, the turbulence models require a separate turbulence time-scale determiner along with the dissipation, ε. In the current research, this is accomplished by resolving an additional equation that accounts for turbulence time scale, τ. After presenting the rationale behind the model, its application to three types of free shear flows were given. It has been shown that the three-equation k–ε–τ model outperforms the standard k–ε model as well as a number of two-equation models in these flows. Initially, the k–ε–τ model handles the issue of the plane jet/round jet anomaly in an effective manner. Secondly, it outperforms the two-equation models in predicting the flow behavior in the case of plane wake, one that is distinguished by its weak shear form.

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Navier-Stokes Prediction of Internal Flows with a Three-Equation Turbulence Model

Cited by 2 publications

References 7 publications

Wake behind a three-dimensional dry transom stern. Part 2. Analysis and modelling of incompressible highly variable density turbulence

Wake behind a three-dimensional dry transom stern. Part 2. Analysis and modelling of incompressible highly variable density turbulence

A Two-Time-Scale Turbulence Model and Its Application in Free Shear Flows

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