• Title/Summary/Keyword: Generalized k-$\varepsilon$ Model

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A Bayes Rule for Determining the Number of Common Factors in Oblique Factor Model

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.29 no.1
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    • pp.95-108
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    • 2000
  • Consider the oblique factor model X=Af+$\varepsilon$, with defining relation $\Sigma$$\Phi$Λ'+Ψ. This paper is concerned with suggesting an optimal Bayes criterion for determining the number of factors in the model, i.e. dimension of the vector f. The use of marginal likelihood as a method for calculating posterior probability of each model with given dimension is developed under a generalized conjugate prior. Then based on an appropriate loss function, a Bayes rule is developed by use of the posterior probabilities. It is shown that the approach is straightforward to specify distributionally and to imploement computationally, with output readily adopted for constructing required cirterion.

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Numerical simulation of tip clearance flows through linear turbine cascades (선형터빈 익렬의 익단간극유동에 대한 수치해석적 연구)

  • Lee, Hun-Gu;Yu, Jeong-Yeol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.6
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    • pp.813-821
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    • 1997
  • Three-dimensional turbulent incompressible flow through the tip clearance of a linear turbine rotor cascade with high turning angle has been analyzed numerically. As a preliminary study to predict the tip clearance loss realistically, a generalized k-.epsilon. model derived by RNG (renormalized group) method is used for the modeling of Reynolds stresses to account for the strain rate of turbulent flow. The effects of the tip clearance flow on the passage vortex, the total pressure loss are considered qualitatively. The existences of vena contract and tip clearance vortex have been confirmed and it has been shown that as the size of the tip clearance increases, the accumulated flow through the tip clearance and the total pressure loss downstream of the cascade increase.

Numerical Simulation of Chemically Reacting Shock Wave-Turbulent Boundary Layer Interactions (화학반응이 있는 난류경계층과 충격파의 상호작용에 대한수치해석)

  • Mun, Su-Yeon;Lee, Chung-Won;Son, Chang-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.3
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    • pp.375-383
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    • 2002
  • The flowfield of transverse jet in a supersonic air stream subjected to shock wave turbulent boundary layer interactions is simulated numerically by Generalized Taylor Galerkin(GTG) finite element methods. Effects of turbulence are taken into account with a two-equation (k-$\varepsilon$) model with a compressibility correction. Injection pressures and slot widths are varied in the present study. Pressure, separation extents, and penetration heights are compared with experimental data. Favorable comparisons with experimental measurements are demonstrated.

Numerical Simulation of Mixing and Combustion in a Normal Injection of the Scramjet (초음속 연소기에서의 혼합과 연소현상에 관한 수치해석)

  • Moon, Su-Yeon;Lee, Choong-Won;Sohn, Chang-Hyun
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.475-480
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    • 2001
  • The flowfield of transverse jet in a supersonic air stream subjected to shock wave turbulent boundary layer interactions is simulated numerically by Generalized Taylor Galerkin(GTG) finite element methods. Effects of turbulence are taken into account with a two-equation $(k-\varepsilon)$ model with a compressibility correction. Injection pressures and slot widths are varied in the present study. Pressure, separation extents, and penetration heights are compared with experimental data. Favorable comparisons with experimental measurements are demonstrated.

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Numerical Study on Flow Characteristics at Blade Passage and Tip Clearance in a Linear Cascade of High Performance Turbine Blade

  • Myong, Hyon-Kook;Yang, Seung-Yong
    • Journal of Mechanical Science and Technology
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    • v.17 no.4
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    • pp.606-616
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    • 2003
  • A numerical analysis has been conducted in order to simulate the characteristics of complex flow through linear cascades of high performance turbine blade with/without tip clearance by using a pressure-correction based, generalized 3D incompressible Wavier-Stokes CFD code. The development and generation of horseshoe vortex, passage vortex, leakage vortex, tip vortex within tip clearance, etc. are clearly identified through the present simulation which uses the RNG k-$\varepsilon$ turbulent model with wall function method and a second-order linear upwind scheme for convective terms. The present simulation results are consistent with the generally known tendency that occurs in the blade passage and tip clearance. A 3D model for secondary and leakage flows through turbine cascades with/without tip clearance is also suggested from the present simulation results, including the effects of tip clearance height.

A Numerical Study of the Effects of Piston Head Configurations on Stratified Mixture Formation in Gasoline Direct-injection Engines

  • Cha, Kyung-Se;Park, Chan-Guk;Tomoyuki Wakisaka
    • Journal of Mechanical Science and Technology
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    • v.16 no.4
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    • pp.557-563
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    • 2002
  • In this paper, the characteristics of flow and spray motions affected by from piston head configurations were investigated numerically. Calculations were carried out from intake process to the end of compression. GTT (Generalized Tank and Tube method) code, which includes a third order upwind Chakravarthy-Osher TVD scheme and k-$\varepsilon$ turbulence model with fuel spray analysis was used for the calculations. As a results, piston heads with smaller radii of curvature were found to give stronger reverse tumble than those with larger radii of curvature. Similar results are shown in the convection and diffusion of fuel sprays.

The Impact of Choline Acetyltransferase Polymorphism on the Expression of Mild Cognitive Impairment (Choline Acetyltransferase 유전자 다형성이 경도인지손상 발현에 미치는 영향)

  • Lee, Jung-Jae;Park, Joon-Hyuk;Lee, Seok-Bum;Huh, Yoon-Seok;Kim, Tae-Hui;Youn, Jong-Chul;Jhoo, Jin-Hyeong;Lee, Dong-Young;Park, Koung-Un;Kim, Ki-Woong
    • Korean Journal of Biological Psychiatry
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    • v.17 no.4
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    • pp.218-225
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    • 2010
  • Objectives : The potential association between choline acetyltransferase(CHAT) polymorphism and the risk of mild cognitive impairment(MCI) has not been investigated in Korea. We examined the main effect of CHAT polymorphism and its interaction with apolipoprotein E(APOE) polymorphism in the development of MCI in elderly Korean sample. Methods : We analyzed CHAT 2384G > A polymorphism and APOE polymorphism among 149 MCI subjects with MCI and 298 normal controls. We tested the association between MCI and CHAT A allele status using a logistic regression model. In addition, we employed generalized multifactor dimensionality reduction(GMDR) to investigate the interaction between CHAT and APOE with regard to the risk of MCI. Results : The CHAT A allele was associated with AD risk(OR = 1.59, 95% CI = 1.02-2.48, p = 0.042). No significant gene-gene interaction between CHAT and APOE was found in GMDR method(testing balanced accuracy = 0.540, p = 0.055). Conclusion : The CHAT A allele was associated with MCI risk in the Korean elderly. Its interaction with the APOE ${\varepsilon}4$ allele was not significant with regard to the development of MCI.