Large-eddy simulation with parabolized stability equations for turbulent transition using OpenFOAM

Kim, Minwoo; Lim, Jiseop; Kim, Seungtae; Jee, Solkeun; Park, Jaeyoung; Park, Donghun

doi:10.1016/j.compfluid.2019.04.010

Cited by 25 publications

(15 citation statements)

References 22 publications

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“…is computational program is an open-source software package and uses the finite volume method for numerical representation of the equations governing fluid motion. Several authors have recently shown that the program allows simulating a wide variety of complex fluid flow processes [20,[22][23][24][25]27]. A detailed analysis of capabilities and validation study is presented in [17].…”

Section: Governing Equations and Turbulence Modelmentioning

confidence: 99%

“…In these works, it is possible to observe that RANS models could reproduce the average flow pattern; however, they do not obtain the transient dynamic flow behavior [2, 5-7, 9, 14-19]. On the other hand, the LES turbulence model reaches accurate results, and it is possible to compare their results with the physical experimental data [20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic Analysis of the Flow inside the Submerged Entry Nozzle

Gonzalez-Trejo

Real-Ramirez

Carvajal-Mariscal

et al. 2020

Mathematical Problems in Engineering

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The quality of steel produced by continuous casting depends mainly on the characteristics of the liquid steel flow pattern within the mold. This pattern depends on the flow dynamics of the nozzle that is immersed in liquid steel. This work characterizes the fluid dynamics within two separate submerged entry nozzle models with a square cross section bore. The Froude similarity criterion and water as working fluid have been used. The models consist of a square-shaped tube with one inlet and two lateral squared exits at the bottom. To enhance the flow visualization, the models do not have exit ports. Moreover, one of the models has a “pool,” a volume at the bottom, and the other prescinds of it. The geometrical parameters and operational conditions of physical experiments were reproduced in the numerical simulations. The turbulence model used in this work is large eddy simulation (LES) with dynamic k-equation filtering. It was found that transient numerical simulations reproduce the dynamic nature of the internal flow pattern seen in physical experiments. The results show that the flow pattern within the pool nozzle is defined by only one large vortex; on the other hand, in the nozzle, without the pool, the flow pattern achieves a complex behavior characterized by two small vortexes. This study will allow to build nozzles that produce a symmetric, regular fluid flow pattern inside the mold, which leads to improvements on the process such as low energy consumption and finally in cost reductions.

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Section: Governing Equations and Turbulence Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Analysis of the Flow inside the Submerged Entry Nozzle

Gonzalez-Trejo

Real-Ramirez

Carvajal-Mariscal

et al. 2020

Mathematical Problems in Engineering

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“…(The red circles are the Strouhal number of the maximum growth rate obtained from linear spatial instability analysis.) the linear parabolised stability equations (PSE), where the assumption of parallel flow is relaxed, is expected to deliver a better agreement with LES results(Sinha et al 2016;Kim et al 2019;Towne, Rigas & Colonius 2019;Wong et al 2019).…”

mentioning

confidence: 99%

Characteristics of acoustic and hydrodynamic waves in under-expanded supersonic impinging jets

et al. 2020

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“…2012 a ) and numerical investigation (El-Hady 1988; Nayfeh & Masad 1990; Bertolotti, Herbert & Spalart 1992; Joslin, Streett & Chang 1993; Xu, Lombard & Sherwin 2017; Jee, Joo & Lin 2018; Kim et al. 2019, 2020). The current study focuses on the subharmonic resonance in the natural transition path for incompressible flow.…”

Section: Introductionmentioning

confidence: 99%

“…The authors have developed an LES method coupled with stability analysis (Kim et al. 2019, 2020; Lim et al. 2021) for a cost-effective and high-fidelity simulation of a transitional boundary layer.…”

Section: Introductionmentioning

confidence: 99%

Effects of phase difference between instability modes on boundary-layer transition

Kim

Lim

et al. 2021

J. Fluid Mech.

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Phase effect on the modal interaction of flow instabilities is investigated for laminar-to-turbulent transition in a flat-plate boundary-layer flow. Primary and secondary three-dimensional (3-D) oblique waves at various initial phase differences between these two instability modes. Three numerical methods are used for a systematic approach for the entire transition process, i.e. before the onset of transition well into fully turbulent flow. Floquet analysis predicts the subharmonic resonance where a subharmonic mode locally resonates for a given basic flow composed of the steady laminar flow and the fundamental mode. Because Floquet analysis is limited to the resonating subharmonic mode, nonlinear parabolised stability equation analysis (PSE) is conducted with various phase shifts of the subharmonic mode with respect to the given fundamental mode. The application of PSE offers insights on the modal interaction affected by the phase difference up to the weakly nonlinear stage of transition. Large-eddy simulation (LES) is conducted for a complete transition to turbulent boundary layer because PSE becomes prohibitively expensive in the late nonlinear stage of transition. The modulation of the subharmonic resonance with the initial phase difference leads to a significant delay in the transition location up to $\Delta Re_{x, tr} \simeq 4\times 10^5$ as predicted by the current LES. Effects of the initial phase difference on the spatial evolution of the modal shape of the subharmonic mode are further investigated. The mechanism of the phase evolution is discussed, based on current numerical results and relevant literature data.

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Large-eddy simulation with parabolized stability equations for turbulent transition using OpenFOAM

Cited by 25 publications

References 22 publications

Hydrodynamic Analysis of the Flow inside the Submerged Entry Nozzle

Hydrodynamic Analysis of the Flow inside the Submerged Entry Nozzle

Characteristics of acoustic and hydrodynamic waves in under-expanded supersonic impinging jets

Effects of phase difference between instability modes on boundary-layer transition

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