Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Comparative Study on k-ε and k-ω Closures under the Condition of Turbulent Oscillatory Boundary Layer Flow at High Reynolds Number

높은 레이놀즈수를 가진 난류 진동 경계층에서의 k-ε과 k-ω 난류모형의 비교

  • 손민우 (인하대학교 해양과학기술연구소) ;
  • 이관홍 (인하대학교 자연과학대학 해양과학과) ;
  • 이길성 (서울대학교 공과대학 건설환경공학부) ;
  • 이두한 (한국건설기술연구원 하천해안항만연구실)
  • Received : 2011.01.12
  • Accepted : 2011.02.25
  • Published : 2011.03.31
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Abstract

The aim of this study is to compare k-$\varepsilon$ and k-$\omega$ closures under the condition of oscillatory layer flow at high Reynolds number. A one dimensional vertical model incorporated with flow momentum equations and turbulence models (k-$\varepsilon$ and k-$\omega$) is applied to the laboratory measurements in the turbulent oscillatory boundary layer. The numerical simulation reveals that both turbulence models calculate similar velocity profiles and turbulent kinetic energy (TKE). In addition, both deliver high accuracy under the condition of negligible spanwise pressure gradient. Therefore, it is recommended in this study to use k-$\varepsilon$ closure, of which numerical coefficients have been calibrated from many studies, for the cases of straight channel, estuary, and coastal environment where the spanwise pressure gradient is not significant.

본 연구는 난류현상의 모형화를 위해 널리 이용되는 k-$\varepsilon$과 k-$\omega$ 난류모형을 비교하는 것이 목적으로, 횡방향 흐름이 무시될 수 있는 U-튜브 모양의 터널형 수로 내 높은 레이놀즈수를 가진 진동 경계층 흐름에 두 난류해석방법을 적용하였다. 난류모형의 적용은 1차원 연직 모형을 통해 이루어지며, 수치 모의 결과, 유속의 분포와 난류운동에너지 (turbulent kinetic energy) 모두에서 두 모형이 매우 유사한 결과를 나타낸다. 이를 통하여, 횡방향 압력경사가 무시될 수 있는 조건에서는 k-$\varepsilon$과 k-$\omega$ 난류모형이 큰 차이를 보이지 않고, 우수한 결과를 나타냄을 알 수 있다. 따라서 직선형 하천 및 하구부, 해안에서의 파랑 흐름 등과 같이 횡방향의 압력경사가 미미한 지역에서의 난류를 수치적으로 해석할 경우, 기존의 풍부한 연구를 통해 매개변수의 검보증이 장기간 이루어진 k-$\varepsilon$ 모형을 이용하는 것이 추천된다.

Keywords

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