• 제목/요약/키워드: Algebraic Stress Model

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식생된 개수로 흐름에서의 난류의 비등방성 (Anisotropy of Turbulence in Vegetated Open-Channel Flows)

  • 강형식;최성욱
    • 한국수자원학회논문집
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    • 제38권10호
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    • pp.871-883
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    • 2005
  • 본 논문은 식생된 개수로 흐름에서 난류의 비등방성이 평균유속 및 난류구조에 미치는 영향을 파악하기 위한 수치모의 연구이다. 비등방성 난류모형인 레이놀즈응력모형을 이용하여 식생이 없는 일반 개수로 흐름과 침수 및 정수식생된 개수로 흐름에서의 평균유속 및 난류구조를 수치모의하였다. 수치모의 결과를 기존의 실험결과 및 k-$\epsilon$ 모형과 응력대수식모형에 의한 계산 결과와 비교하였다. 식생이 없는 일반 개수로 흐름과 정수식생된 개수로 흐름에서의 평균유속과 레이놀즈응력을 계산한 결과 등방성 및 비등방성 난류모형에 의한 해석 결과의 차이가 거의 나타나지 않았다. 즉, 난류의 비등방성의 영향이 매우 작은 것으로 나타났다. 그러나 자유수면 및 바닥 근처에서 발생되는 난류의 감쇠효과에 의한 난류의 비등방성은 레이놀즈응력이 가장 잘 예측하는 것으로 나타났다. 침수식생된 개수로 흐름의 경우 식생높이 부근에서 난류의 비등방성이 강하게 발생하는 것으로 나타났다. 계산된 평균유속 및 난류구조는 레이놀즈응력모형이 다른 모형 보다 가장 정확한 예측을 수행하였으며, 등방성 모형인 k-$\epsilon$ 모형은 식생높이 보다 높은 영역에서 평균유속 및 난류강도를 각각 과대 및 과소 예측하는 것으로 나타났다. 또한 계산된 결과를 이용하여 식생된 개수로 흐름에서의 부유사량을 산정한 결과 등방성 난류모형이 부유사량을 과소 산정하는 것으로 나타났다.

Computation of a Turbulent Natural Convection in a Rectangular Cavity with the Low-Reynolds-Number Differential Stress and Flux Model

  • Choi, Seok-Ki;Kim, Eui-Kwang;Wi, Myung-Hwan;Kim, Seong-O
    • Journal of Mechanical Science and Technology
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    • 제18권10호
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    • pp.1782-1798
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    • 2004
  • A numerical study of a natural convection in a rectangular cavity with the low-Reynolds-number differential stress and flux model is presented. The primary emphasis of the study is placed on the investigation of the accuracy and numerical stability of the low-Reynolds-number differential stress and flux model for a natural convection problem. The turbulence model considered in the study is that developed by Peeters and Henkes (1992) and further refined by Dol and Hanjalic (2001), and this model is applied to the prediction of a natural convection in a rectangular cavity together with the two-layer model, the shear stress transport model and the time-scale bound ν$^2$- f model, all with an algebraic heat flux model. The computed results are compared with the experimental data commonly used for the validation of the turbulence models. It is shown that the low-Reynolds-number differential stress and flux model predicts well the mean velocity and temperature, the vertical velocity fluctuation, the Reynolds shear stress, the horizontal turbulent heat flux, the local Nusselt number and the wall shear stress, but slightly under-predicts the vertical turbulent heat flux. The performance of the ν$^2$- f model is comparable to that of the low-Reynolds-number differential stress and flux model except for the over-prediction of the horizontal turbulent heat flux. The two-layer model predicts poorly the mean vertical velocity component and under-predicts the wall shear stress and the local Nusselt number. The shear stress transport model predicts well the mean velocity, but the general performance of the shear stress transport model is nearly the same as that of the two-layer model, under-predicting the local Nusselt number and the turbulent quantities.

Reynolds stress correction by data assimilation methods with physical constraints

  • Thomas Philibert;Andrea Ferrero;Angelo Iollo;Francesco Larocca
    • Advances in aircraft and spacecraft science
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    • 제10권6호
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    • pp.521-543
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    • 2023
  • Reynolds-averaged Navier-Stokes (RANS) models are extensively employed in industrial settings for the purpose of simulating intricate fluid flows. However, these models are subject to certain limitations. Notably, disparities persist in the Reynolds stresses when comparing the RANS model with high-fidelity data obtained from Direct Numerical Simulation (DNS) or experimental measurements. In this work we propose an approach to mitigate these discrepancies while retaining the favorable attributes of the Menter Shear Stress Transport (SST) model, such as its significantly lower computational expense compared to DNS simulations. This strategy entails incorporating an explicit algebraic model and employing a neural network to correct the turbulent characteristic time. The imposition of realizability constraints is investigated through the introduction of penalization terms. The assimilated Reynolds stress model demonstrates good predictive performance in both in-sample and out-of-sample flow configurations. This suggests that the model can effectively capture the turbulent characteristics of the flow and produce physically realistic predictions.

단면의 폭이 감소하는 180^{\circ}$ 곡덕트 내 난류유동의 수치해석적 연구 (Numerical Study on the Turbulent Flow in the 180^{\circ}$ Bends Decreasing Cross-sectional Aspect Ratio)

  • 김원갑;최영돈
    • 설비공학논문집
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    • 제14권12호
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    • pp.1056-1062
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    • 2002
  • This paper reports the characteristics of the three dimensional turbulent flow in the 180 degree bends with decreasing cross-sectional area by numerical method. Calculated pressure and velocity, Reynolds stress distributions are compared to the experimental data. Turbulence model employed are low Reynolds number k-epsilon model and algebraic stress model. The results show that the main vortex generated from the inlet part of the bend maintained to outlet of the bend because of the contraction of cross-sectional area. The rate of increase of turbulent kinetic energy through the bend are lower than that of mean flow. Secondary flow strength of the flow is lower about 60% than that of square duct flow.

단면의 폭이 증가하는 $180^\circ$ 곡덕트 내 난류유동의 수치해석적 연구 (Numerical Study on the Turbulent Flow in the $180^\circ$ Bends increasing Cross-sectional Aspect Ratio)

  • 김원갑;김철수;최영돈
    • 설비공학논문집
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    • 제16권9호
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    • pp.804-810
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    • 2004
  • This paper reports the characteristics of the three dimensional turbulent flow by numerical method in the 180 degree bends with increasing cross-sectional area. Calculated pressure and velocity, Reynolds stress distributions are compared to the experimental data. Turbulence model employed are low Reynolds number $textsc{k}$-$\varepsilon$ model and algebraic stress model(ASM). The results show that the main vortex generated from the inlet part of the bend maintained to outlet of the bend and vortices are continually developed at the inner wall region. The distribution of turbulent kinetic energy along the bend are increase up to 120$^{\circ}$ because of increment of cross-sectional area. Secondary flow strength of the flow is lower about 60% than that of square duct flow.

Thermal Stratification 해석 난류모델 평가 (Evaluation of Turbulence Models for Analysis of Thermal Stratification)

  • 최석기;위명환;김성오
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2004년도 추계 학술대회논문집
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    • pp.221-225
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    • 2004
  • Evaluation of turbulence models is performed for a better prediction of thermal stratification in an upper plenum of a liquid metal reactor by applying them to the experiment conducted at JNC. The turbulence models tested in the present study are the two-layer model, the $\kappa-\omega$ model, the v2-f model and the low-Reynolds number differential stress-flux model. When the algebraic flux model or differential flux model are used for treating the turbulent heat flux, there exist little differences between turbulence models in predicting the temporal variation of temperature. However, the v2-f model and the low-Reynolds number differential stress-flux model better predict the steep gradient o( temperature at the interface of thermal stratification, and only the v2-f model predicts properly the oscillation of temperature. The LES Is needed for a better prediction of the amplitude and frequency of the temperature fluctuation.

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2차원 아음속 압축기 익렬유동에서의 난류모델 효과에 관한 연구 (Study on the effect turbulence models for the flow through a subsonic compressor cascade)

  • 남경우;백제현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 추계 학술대회논문집
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    • pp.51-57
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    • 2001
  • The eddy viscosity turbulence models were applied to predict the flows through a cascade, and the prediction performances of turbulence models were assessed by comparing with the experimental results for a controlled diffusion(CD) compressor blade. The original $\kappa-\omega$ turbulence model and $\kappa-\omega$ shear stress transport(SST) turbulence model were used as two-equation turbulence model which were enhanced for a low Reynolds number flow and the Baldwin-Lomax turbulence model was used as algebraic turbulence model. Farve averaged Wavier-Stokes equations in a two-dimensional, curvilinear coordinate system were solved by an implicit, cell-centered finite-volume computer code. The turbulence quantities are obtained by lagging when the men flow equations have been updated. The numerical analysis was made to the flows of CD compressor blade in a cascade at three different incidence angles (40. 43.4. 46 degrees). We found the reversion in the prediction performance of original $\kappa-\omega$ turbulence model and $\kappa-\omega$ SST turbulence model when the incidence angie increased. And the algebraic Baldwin-Lomax turbulence model showed inferiority to two-equation turbulence models.

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부력에 의한 난류 열대류의 혼성 난류모델 (A Hybrid Turbulence Model for Prediction of Buoyancy-Driven Turbulent Thermal Convection Flow)

  • 김태규;성형진
    • 대한기계학회논문집
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    • 제17권8호
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    • pp.2069-2078
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    • 1993
  • The buoyancy-driven turbulent thermal convection is predicted using an anisotropic hybrid turbulence model, which is incorporated with a low Reynolds k-.epsilon. turbulence model and an anisotropic buoyant part of algebraic stress model(ASM). The numerical predictions are compared with the Davidson's model,(1) the full ASM and the experimental results of Cheesewright et al.(2) All the models are shown to predict good agreements with the experiments for the averaged turbulence quantities. It is found that the effect of an anisotropic part on the Reynolds stress and the turbulent heat fluxes is substantial. In this study, the present hybrid model gives a fairly reasonable prediction in terms of the computational accuracy, convergence and stability. The contribution of an anisotropic buoyant part to turbulent heat fluxes are also scrutinized over the range of Rayleigh numbers $(4.79{\times}10^{10}{\le}Ra{\le}7.46{\times}10^{10}).$

2차원 표층밀도분류에 대한 대수응력모델의 적용 (An Application of Algebraic Stress Model to a Two-Dimensional Buoyant Surface Jet)

  • 김기흥;함계운;박준일;허재영
    • 한국해안해양공학회지
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    • 제7권3호
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    • pp.248-256
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    • 1995
  • 표층밀도분류에 대한 수치계산에서 문제로 되는 것은 자유수면의 처리, 레이놀즈응력/플럭스항, 특히 난류변동성분에 미치는 부력효과 등에 관련된 것이며, 이것에 대한 보다 집중적인 연구가 필요하다. 또한, 농도장이나 온도장에서의 난류변동성분을 측정하는 데 있어서의 어려움으로 인한 실험자료의 부족으로 수치 계산으로부터 얻어진 예측결과의 충분한 검증은 이루어지지 않고 있다. 본 연구에서는 2차원 표층밀도분류에 대한 유동특성을 조사하기 위하여 난류의 비등방성을 고려하여 난류응력을 직접 계산하는 대수응력모델을 적용하여 수치계산을 행하고, 그 결과를 실험결과와 비교ㆍ검토하였다. 검토한 결과 대수응력모델은 전 영역모델은 전 영역에서 2차원 표층밀도분류의 유동특성을 양호하게 재현하였으며, 특히 부력효과로 인한 성층화가 발생하는 부력 탁월영역에서 난류유동장의 흐름특성을 합리적으로 예측함을 입증하였다.

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Some aspects of load-rate sensitivity in visco-elastic microplane material model

  • Kozar, Ivica;Ozbolt, Josko
    • Computers and Concrete
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    • 제7권4호
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    • pp.317-329
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    • 2010
  • The paper describes localization of deformation in a bar under tensile loading. The material of the bar is considered as non-linear viscous elastic and the bar consists of two symmetric halves. It is assumed that the model represents behavior of the quasi-brittle viscous material under uniaxial tension with different loading rates. Besides that, the bar could represent uniaxial stress-strain law on a single plane of a microplane material model. Non-linear material property is taken from the microplane material model and it is coupled with the viscous damper producing non-linear Maxwell material model. Mathematically, the problem is described with a system of two partial differential equations with a non-linear algebraic constraint. In order to obtain solution, the system of differential algebraic equations is transformed into a system of three partial differential equations. System is subjected to loadings of different rate and it is shown that localization occurs only for high loading rates. Mathematically, in such a case two solutions are possible: one without the localization (unstable) and one with the localization (stable one). Furthermore, mass is added to the bar and in that case the problem is described with a system of four differential equations. It is demonstrated that for high enough loading rates, it is the added mass that dominates the response, in contrast to the viscous and elastic material parameters that dominated in the case without mass. This is demonstrated by several numerical examples.