Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Numerical simulation of dense interflow using the k-ε turbulence model

k-ε 난류모형을 이용한 중층 밀도류의 수치모의

  • Choi, Seongwook (Department of Civil & Environmental Engineering, Yonsei University) ;
  • Choi, Sung-Uk (Department of Civil & Environmental Engineering, Yonsei University)
  • 최성욱 (연세대학교 토목환경공학과) ;
  • 최성욱 (연세대학교 토목환경공학과)
  • Received : 2017.05.16
  • Accepted : 2017.07.31
  • Published : 2017.09.30
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Abstract

This study presents a numerical model for simulating dense interflows. The governing equations are provided and the finite difference method is used with the $k-{\varepsilon}$ turbulence model. The model is used to simulate a dense interflow established in a deep ambient water, resulting velocity and excess density profiles. It is observed that velocity decreases in the longitudinal direction due to water entrainment in the vicinity of the outlet and rarely changes for increased Richardson number. Similarity collapses of velocity and excess density are obtained, but those of turbulent kinetic energy and dissipation rate are not. A shape factor for the dense interflow is obtained from the simulated profiles. The value of this shape factor can be used in the layer-averaged modeling of dense interflows. In addition, a buoyancy-related parameter ($c_{3{\varepsilon}}$) for the $k-{\varepsilon}$ model and the volume expansion coefficient (${\beta}_0$) are obtained from the simulated results.

본 연구에서는 중층 밀도류를 모의할 수 있는 $k-{\varepsilon}$ 난류모형의 지배방정식을 제시하고 수치모의를 수행하였다. 깊은 수체에 모형을 적용하여 중층 밀도류를 모의하고 게산된 유속과 초과밀도 분포를 분석하였다. 밀도류의 주 흐름방향을 따라 물 연행으로 인해 유속이 감소되는 것과 Richardson 수의 증가로 인해 유속 변화율이 감소되는 것을 관찰하였다. 유속과 초과밀도의 유사성을 확인하였으나, 난류운동에너지와 소산율의 유사성에서는 보이지 않았다. $k-{\varepsilon}$ 모형의 모의 결과를 이용하여 중층 밀도류의 층적분 모형에서 사용될 수 있는 형상계수를 계산하였다. 또한, 층적분 모형을 이용하여 $k-{\varepsilon}$ 모형에서 사용되는 부력관련 모형상수 ($c_{3{\varepsilon}}$)와 부피팽창계수 (${\beta}_0$)를 계산하였다.

Keywords

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