• 제목/요약/키워드: boussinesq equations

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CANDU6 감속재 온도분포 계산을 위한 CFD 해석모델의 타당성 검토 (Validation of a CFD Analysis Model for the Calculation of CANDU6 Moderator Temperature Distribution)

  • 윤철;이보욱;민병주
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.499-504
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    • 2001
  • A validation of a 3D CFD model for predicting local subcooling of moderator in the vicinity of calandria tubes in a CANDU reactor is performed. The small scale moderator experiments performed at Sheridan Park Experimental Laboratory(SPEL) in Ontario, Canada[1] is used for the validation. Also a comparison is made between previous CFD analyses based on 2DMOTH and PHOENICS, and the current model analysis for the same SPEL experiment. For the current model, a set of grid structures for the same geometry as the experimental test section is generated and the momentum, heat and continuity equations are solved by CFX-4.3, a CFD code developed by AEA technology. The matrix of calandria tubes is simplified by the porous media approach. The standard $k-\varepsilon$ turbulence model associated with logarithmic wall treatment and SIMPLEC algorithm on the body fitted grid are used and buoyancy effects are accounted for by the Boussinesq approximation. For the test conditions simulated in this study, the flow pattern identified is a buoyancy-dominated flow, which is generated by the interaction between the dominant buoyancy force by heating and inertial momentum forces by the inlet jets. As a result, the current CFD moderator analysis model predicts the moderator temperature reasonably, and the maximum error against the experimental data is kept at less than $2.0^{\circ}C$ over the whole domain. The simulated velocity field matches with the visualization of SPEL experiments quite well.

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A Numerical Study on the Karman Vortex Generated by Breaking of Mountain Wave

  • Kang Sung-Dae;Kimura Fujio
    • Environmental Sciences Bulletin of The Korean Environmental Sciences Society
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    • 제1권2호
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    • pp.105-117
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    • 1997
  • The formation mechanism of the vortex streets in the lee of the mountain is investigated by a three-dimensional numerical model. The model is based upon the hydrostatic Boussinesq equations in which the vertical turbulent momentum flux is estimated by a turbulence parameterization scheme, but the horizontal viscosity is assumed to be constant. The results show that Karman vortex streets can form even without surface friction in a constant ambient flow with uniform stratification. The vortex formation is related to breaking of the mountain wave, which depends on the Froude number (Fr). In the case of a three-dimensional bell-shaped mountain, the wave breaking occurs when Fr is less than about 0.8, while a Karman vortex forms when Fr is less than about 0.22. Vortex formation also depends on Reynolds number, which is estimated from the horizontal diffusivity. The vortex formation can be explained by the wave saturation theory given by Lindzen (1981) with some modification. Simulations in this study show that in the case of Karman vortex formation the momentum flux in the lower level is much larger than the saturated momentum flux whereas it is almost equal to the saturated momentum at the upper levels as expected from the saturation theory. As a result, large flux divergence is produced in the lower layer, the mean flow is decelerated behind the mountain, and the horizontal wind shear forms between unmodified ambient wind. The momentum exchange between the mean flow and the mountain wave is produced by the turbulence within a breaking wave. From the result, well developed vortices like Karman vortex can be formed. The results of the momentum budget calculated by the hydrostatic model are almost the same as nonhydrostatic results as long as horizontal scale of the mountain is 10 km. A well developed Karman vortex similar to the hydrostatic one was simulated in the nonhydrostatic case. Therefore, we conclude that the hydrostatic assumption is adequate to investigate the origin of the Karman vortex from the viewpoint of wave breaking.

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Development and validation of a non-linear k-ε model for flow over a full-scale building

  • Wright, N.G.;Easom, G.J.;Hoxey, R.J.
    • Wind and Structures
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    • 제4권3호
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    • pp.177-196
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    • 2001
  • At present the most popular turbulence models used for engineering solutions to flow problems are the $k-{\varepsilon}$ and Reynolds stress models. The shortcoming of these models based on the isotropic eddy viscosity concept and Reynolds averaging in flow fields of the type found in the field of Wind Engineering are well documented. In view of these shortcomings this paper presents the implementation of a non-linear model and its evaluation for flow around a building. Tests were undertaken using the classical bluff body shape, a surface mounted cube, with orientations both normal and skewed at $45^{\circ}$ to the incident wind. Full-scale investigations have been undertaken at the Silsoe Research Institute with a 6 m surface mounted cube and a fetch of roughness height equal to 0.01 m. All tests were originally undertaken for a number of turbulence models including the standard, RNG and MMK $k-{\varepsilon}$ models and the differential stress model. The sensitivity of the CFD results to a number of solver parameters was tested. The accuracy of the turbulence model used was deduced by comparison to the full-scale predicted roof and wake recirculation zone lengths. Mean values of the predicted pressure coefficients were used to further validate the turbulence models. Preliminary comparisons have also been made with available published experimental and large eddy simulation data. Initial investigations suggested that a suitable turbulence model should be able to model the anisotropy of turbulent flow such as the Reynolds stress model whilst maintaining the ease of use and computational stability of the two equations models. Therefore development work concentrated on non-linear quadratic and cubic expansions of the Boussinesq eddy viscosity assumption. Comparisons of these with models based on an isotropic assumption are presented along with comparisons with measured data.

Saint-Venant 공식(公式)에 의한 개수로(開水路)의 지하수성분(地下水性分) 추적(追跡) (Routing of Groundwater Component in Open Channel)

  • 김재한
    • 대한토목학회논문집
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    • 제8권4호
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    • pp.23-32
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    • 1988
  • 미계측유성(未計測流城)에서의 시간별 강우(降雨)로부터 부분침투천하(部分浸透川下)의 비피압대수층내(非被壓帶水層內)의 지하수(地下水)흐름에 기여하는 침투량과, 이로 인(因)하여 발생되는 하천수로상(河川水路上)에서의 시간별 기저유량(基底流量)의 동시적(同時的) 결합(結合)이 지형도(地形圖)나 토양도(土壤圖)부터 획득된 수리(水理) 및 수문(水文) 특성인자(特性因子)들에 의하여 수행(遂行)되었다. 지하수(地下水)흐름과 이의 개수로상(開水路上)의 흐름추적은 Boussinesg의 비선형방정식(非線形方程式)을 선형화(線形化)한 기법(技法)과 St. Venant의 간편화 공식을 각각 이용하므로써 결정되어졌다. 이의 해(解)를 위한 유출모형(流出模型)은 전류성(全流城)을 분할한 분포모형(分布模型)을 사용하였으며, 수치해법(數値解法)은 운동파방정식(運動波方程式)의 유한차분법(有限差分法)을 이용하였다. 그 결과로서, 수문지질(水文地質)의 다변성(多變性)에 따른 수문곡선분리(水文曲線分離)의 합리성(合理性)은 물리적(物理的)으로 바탕을 둔 지하지표수(地下地表水)의 모형을 개발하므로써 이루어져야 한다고 제안(提案)된다. 본 연구의 실하천유역(實河川流域)에 대한 적용 예로서는, 금강수계내(錦江水系內) 지류(支流)인 보청천유역(報靑川流域)을 선정(選定)하였으며, 그 결과로부터 본(本) 기법(技法)은 미계측유역에서의 강우의 지하침투량에 의한 기저유량을 모의발생(模擬發生)시킬 수 있으리라 판단된다.

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