• 제목/요약/키워드: Stokes equations

검색결과 1,394건 처리시간 0.021초

Impacts of wave and tidal forcing on 3D nearshore processes on natural beaches. Part II: Sediment transport

  • Bakhtyar, R.;Dastgheib, A.;Roelvink, D.;Barry, D.A.
    • Ocean Systems Engineering
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    • 제6권1호
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    • pp.61-97
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    • 2016
  • This is the second of two papers on the 3D numerical modeling of nearshore hydro- and morphodynamics. In Part I, the focus was on surf and swash zone hydrodynamics in the cross-shore and longshore directions. Here, we consider nearshore processes with an emphasis on the effects of oceanic forcing and beach characteristics on sediment transport in the cross- and longshore directions, as well as on foreshore bathymetry changes. The Delft3D and XBeach models were used with four turbulence closures (viz., ${\kappa}-{\varepsilon}$, ${\kappa}-L$, ATM and H-LES) to solve the 3D Navier-Stokes equations for incompressible flow as well as the beach morphology. The sediment transport module simulates both bed load and suspended load transport of non-cohesive sediments. Twenty sets of numerical experiments combining nine control parameters under a range of bed characteristics and incident wave and tidal conditions were simulated. For each case, the general morphological response in shore-normal and shore-parallel directions was presented. Numerical results showed that the ${\kappa}-{\varepsilon}$ and H-LES closure models yield similar results that are in better agreement with existing morphodynamic observations than the results of the other turbulence models. The simulations showed that wave forcing drives a sediment circulation pattern that results in bar and berm formation. However, together with wave forcing, tides modulate the predicted nearshore sediment dynamics. The combination of tides and wave action has a notable effect on longshore suspended sediment transport fluxes, relative to wave action alone. The model's ability to predict sediment transport under propagation of obliquely incident wave conditions underscores its potential for understanding the evolution of beach morphology at field scale. For example, the results of the model confirmed that the wave characteristics have a considerable effect on the cumulative erosion/deposition, cross-shore distribution of longshore sediment transport and transport rate across and along the beach face. In addition, for the same type of oceanic forcing, the beach morphology exhibits different erosive characteristics depending on grain size (e.g., foreshore profile evolution is erosive or accretive on fine or coarse sand beaches, respectively). Decreasing wave height increases the proportion of onshore to offshore fluxes, almost reaching a neutral net balance. The sediment movement increases with wave height, which is the dominant factor controlling the beach face shape.

RANS simulation of secondary flows in a low pressure turbine cascade: Influence of inlet boundary layer profile

  • Michele, Errante;Andrea, Ferrero;Francesco, Larocca
    • Advances in aircraft and spacecraft science
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    • 제9권5호
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    • pp.415-431
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    • 2022
  • Secondary flows have a huge impact on losses generation in modern low pressure gas turbines (LPTs). At design point, the interaction of the blade profile with the end-wall boundary layer is responsible for up to 40% of total losses. Therefore, predicting accurately the end-wall flow field in a LPT is extremely important in the industrial design phase. Since the inlet boundary layer profile is one of the factors which most affects the evolution of secondary flows, the first main objective of the present work is to investigate the impact of two different inlet conditions on the end-wall flow field of the T106A, a well known LPT cascade. The first condition, labeled in the paper as C1, is represented by uniform conditions at the inlet plane and the second, C2, by a flow characterized by a defined inlet boundary layer profile. The code used for the simulations is based on the Discontinuous Galerkin (DG) formulation and solves the Reynolds-averaged Navier-Stokes (RANS) equations coupled with the Spalart Allmaras turbulence model. Secondly, this work aims at estimating the influence of viscosity and turbulence on the T106A end-wall flow field. In order to do so, RANS results are compared with those obtained from an inviscid simulation with a prescribed inlet total pressure profile, which mimics a boundary layer. A comparison between C1 and C2 results highlights an influence of secondary flows on the flow field up to a significant distance from the end-wall. In particular, the C2 end-wall flow field appears to be characterized by greater over turning and under turning angles and higher total pressure losses. Furthermore, the C2 simulated flow field shows good agreement with experimental and numerical data available in literature. The C2 and inviscid Euler computed flow fields, although globally comparable, present evident differences. The cascade passage simulated with inviscid flow is mainly dominated by a single large and homogeneous vortex structure, less stretched in the spanwise direction and closer to the end-wall than vortical structures computed by compressible flow simulation. It is reasonable, then, asserting that for the chosen test case a great part of the secondary flows details is strongly dependent on viscous phenomena and turbulence.

비선형 k-ε 모형을 이용한 개수로 흐름에서의 격자형 이차흐름 구조 수치모의 (Numerical Simulations of Cellular Secondary Currents in Open-Channel Flows using Non-linear k-ε Model)

  • 강형식;최성욱;박문형
    • 대한토목학회논문집
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    • 제28권6B호
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    • pp.643-651
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    • 2008
  • 본 연구에서는 횡방향 언덕-저면의 하상형상을 갖는 개수로 흐름을 수치모의 하였다. 곡선좌표계에 대한 지배방정식을 유도하고, 난류폐합을 위해 Speziale(1987)가 제안한 비선형 $k-{\varepsilon}$ 모형을 이용하였다. 개발된 모형의 개수로 흐름에 대한 적용성 및 모형 상수의 민감도를 분석하기 위해 직사각형 개수로 흐름을 수치모의 하였다. 그 결과 모형상수 $C_D$$C_E$는 각각 이차흐름 강도 및 난류의 비등방성에 영향을 미치는 것으로 확인되었다. 또한 비선형 $k-{\varepsilon}$ 모형이 자유수면에서 발생되는 난류의 비등방성을 정확히 모의할 수 없는 것으로 나타났으나, 전반적인 이차흐름 분포는 비교적 잘 예측하는 것으로 확인되었다. 한편 개발된 모형을 이용하여 횡방향 하상형상을 갖는 개수로 흐름을 수치모의하고 기존의 실험 결과와 비교하였다. 그 결과 비선형 $k-{\varepsilon}$ 모형이 하상형상의 언덕과 저면에서 발생되는 상향류 및 하향류를 비교적 정확히 예측하는 것으로 나타났으며, 계산된 주흐름방향 평균유속 및 난류구조 역시 기존의 실험 결과와 잘 일치하였다. 그러나 비선형 $k-{\varepsilon}$ 모형은 하상형상의 저면을 향하는 하향류를 과소 산정하는 것으로 확인되었다.

교행식생 영역을 갖는 개수로 흐름에서의 3차원 수치모의 (Three-Dimensional Numerical Simulations of Open-Channel Flows with Alternate Vegetated Zones)

  • 강형식;김규호;임동균
    • 대한토목학회논문집
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    • 제29권3B호
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    • pp.247-257
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    • 2009
  • 본 연구에서는 흐름방향으로 식생 영역이 교차적으로 식재된 교행식생 수로에서의 3차원 수치모의를 수행하였다. 지배방정식에서의 난류 폐합을 위해 ${\kappa}-{\varepsilon}$ 모형을 적용하였으며, 수치모형은 Olsen(2004)이 개발한 3차원 모형을 이용하였다. 먼저, 3차원 수치모형을 이용하여 하상의 일부가 식재된 부분 식생 수로를 수치모의 하고, 계산된 적분유속 및 레이놀즈응력을 기존의 실험 결과와 비교하였다. 그 결과 본 모형이 식생 수로에서의 평균 유속 분포를 매우 잘 예측하는 것으로 나타났다. 그러나 ${\kappa}-{\varepsilon}$ 모형이 등방성 모형이므로 식생과 비식생 영역의 경계면 부근에서 발생되는 운동량 교환 효과를 정확히 예측할 수 없는 것으로 나타났다. 한편, 주흐름방향으로 식생 영역이 교차적으로 존재하는 교행식생 수로를 수치모의 하고, 계산된 유속 분포를 기존의 실험 결과와 비교한 결과, 계산 유속과 실험 결과가 매우 잘 일치하는 것으로 나타났다. 또한 다양한 밀도에 따른 유속 벡터도를 계산한 결과, 식생밀도가 증가함에 따라 식생이 흐름 방향을 변화 시켜 점차 만곡수로와 유사한 형태의 유속 벡터도를 갖는 것으로 나타났으며, 식생 밀도 ${\alpha}$가 9.97%인 경우에는 식생 반대 측벽 영역에서 재순환 흐름이 형성되는 것으로 나타났다. 한편, 식생 밀도에 따른 단면 유속 분포도 및 편수위 변화를 살펴보았다.