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Sixth International Symposium on Turbulence and Shear Flow Phenomena
June, 22-24, 2009 , Seoul National University, Seoul, Korea

DOI: 10.1615/TSFP6

COMPUTATION OF TURBULENT NATURAL CONVECTION FLOWS WITH THE ELLIPTIC-BLENDING SECOND-MOMENT CLOSURE

pages 481-486
DOI: 10.1615/TSFP6.760
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要約

This paper presents the numerical results of natural convection flows using the elliptic-blending second-moment closure. First, the performance of the elliptic-blending model is investigated through application to the natural convection of air in a rectangular cavity with an aspect ratio of 1:5. Second, the treatment of turbulent heat fluxes for calculation of the turbulent natural convection is investigated. Three different cases for treating the turbulent heat fluxes are considered. Those are the generalized gradient diffusion hypothesis (GGDH), the algebraic flux model (AFM) and the differential flux model (DFM). Comparisons are made for a natural convection in an 1:5 cavity and the natural convection in a square cavity with conducting top and bottom walls. Then, the computational results of a turbulent Rayleigh-Benard convection is presented. The elliptic-blending model together with the algebraic flux treatment of the turbulent heat fluxes result in the most accurate solution without invoking numerical stability. It is observed that the GGDH treatment results in a very poor solution for a stratified flow. The elliptic-blending model with the algebraic fulx model predicts well the important parameters of the Rayleigh-Benard convection.

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