• Title/Summary/Keyword: Reynolds-averaged Navier-Stokes Equation

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Numerical investigation of blade tip vortex cavitation noise using Reynolds-averaged Navier-Stokes simulation and bubble dynamics model (Reynolds-averaged Navier-Stokes 해석과 기포동역학 모델을 이용한 날개 끝 와류 공동 소음의 수치적 고찰)

  • Ku, Garam;Cheong, Cheolung;Seol, Hanshin
    • The Journal of the Acoustical Society of Korea
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    • v.39 no.2
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    • pp.77-86
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    • 2020
  • In this study, the Eulerian/Lagrangian one-way coupling method is proposed to predict flow noise due to Blade-Tip Vortex Cavitation (BTVC). The proposed method consists of four sequential steps: flow field simulation using Computational Fluid Dynamics (CFD) techniques, reconstruction of wing-tip vortex using vortex model, generation of BTVC using bubble dynamics model and acoustic wave prediction using the acoustic analogy. Because the CFD prediction of tip vortex structure generally suffers from severe under-prediction of its strength along the steamwise direction due to the intrinsic numerical damping of CFD schemes and excessive turbulence intensity, the wing-tip vortex along the freestream direction is regenerated by using the vortex modeling. Then, the bubble dynamics model based on the Rayleigh-Plesset equation was employed to simulate the generation and variation of BTVC. Finally, the flow noise due to BTVC is predicted by modeling each of spherical bubbles as a monople source whose strength is proportional to the rate of time-variation of bubble volume. The validity of the proposed numerical methods is confirmed by comparing the predicted results with the measured data.

Computation of Turbulent Flow around a Ship Model with Free-Surface (자유표면을 포함한 선체주위 난류유동 해석)

  • Jung-Joong Kim;Hyoung-Tae Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.1
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    • pp.1-8
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    • 2001
  • The computations of the turbulent flow around the ship models with the free-surface effects were carried out. Incompressible Reynolds-Averaged Navier-Stokes equations were solved by using an explicit finite-difference method with the nonstaggered grid system. The method employed second-order finite differences for the spatial discretization and a four-stage Runge-Kutta scheme for the temporal integration. For the turbulence closure, a modified Baldwin-Lomax model was exploited. The location of the free surface was determined by solving the equation of the kinematic free-surface condition using the Lax-Wendroff scheme and a free-surface conforming grid was generated at each time step so that one of the grid boundary surfaces always coincides with the free surface. An inviscid approximation of the dynamic free-surface boundary condition was applied as the boundary conditions for the velocity and pressure on the free surface. To validate the computational method developed in the present study, the computations were carried out for beth Wigley and Series 60 $C_B=0.6$ ship model and the computational results showed good agreements with the experimental data.

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A study on the identification of underwater propeller singing phenomenon (수중 프로펠러 명음 현상의 규명에 관한 연구)

  • Kim, Taehyung;Lee, Hyoungsuk
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.2
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    • pp.92-98
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    • 2018
  • This paper is a study on the generation mechanism of propeller singing based on the cavitation tunnel test, underwater impact test, finite element analysis and computational flow analysis for the model propeller. A wire screen mesh, a propeller and a rudder were installed to simulate ship stern flow, and occurrence and disappearance of propeller singing phenomenon were measured by hydrophone and accelerometer. The natural frequencies of propeller blades were predicted through finite element analysis and verified by contact and non-contact impact tests. The flow velocity and effective angle of attack for each section of the propeller blades were calculated using RANS (Reynolds Averaged Navier-Stokes) equation-based computational fluid analysis. Using the high resolution analysis based on detached eddy simulation, the vortex shedding frequency calculation was performed. The numerical predicted vortex shedding frequency was confirmed to be consistent with the singing frequency and blade natural frequency measured by the model test.

Effects of Wave Focusing Device on Performance of OWC Chamber (OWC형 파력발전 공기실의 파랑집중장치의 효과에 대한 수치적인 연구)

  • Liu, Zhen;Hyun, Beom-Soo;Hong, Key-Yong;Jin, Ji-Yuan
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.13 no.1
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    • pp.12-17
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    • 2010
  • Oscillating Water Column (OWC) device has been widely employed in the wave energy conversion. Wave Focusing Device (WFD) is proposed to be helpful for improving the operating performance of OWC chamber. In the present paper, a Numerical Wave Tank (NWT) using two-phase VOF model is utilized to simulate the generation and propagation of incident regular waves, water column oscillation inside the chamber. The NWT consists of the continuity equation, Reynolds-averaged Navier-Stokes equations and two-phase VOF functions. The standard k- turbulence model, the finite volume method, NITA-PISO algorithm and dynamic mesh technique are employed. Effects of WFD on the operating performance of OWC chamber are investigated numerically.

Evaluation of Effective Wall Roughness for 3D Computational Analysis of Open Channel Flow (개수로 흐름의 3차원 전산해석을 위한 유효 벽면거칠기 산정)

  • Choi, Junwoo;Baek, Un Il;Lee, Sang Mok;Yoon, Sung Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6B
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    • pp.627-634
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    • 2008
  • In a numerical simulation of open channel turbulent flows using RANS (Reynolds averaged Navier-Stokes) equations model equipped with VOF (Volume of Fluid) scheme, the determination of wall roughness for wall function was studied. The roughness constant, based on the law-of-the-wall for flow on rough walls, obtained by experimental works for pipe flows is employed in general wall functions. However, this constant of wall function is the function of Froude number in open channel flows. Thus, the wall roughness should be determined by taking into account the effect of Froude number. In addition, the wall roughness should be corresponding to Manning's roughness coefficient widely used for open channels. In this study, the relation between wall roughness height as an input condition and Manning's roughness coefficient was investigated, and an equation for effective wall roughness height considering the characteristics of numerical models was proposed as a function of Manning's roughness coefficient.

Numerical Simulation of Submerged Hydraulic Jump Using k-ω SST Turbulence Model (k-ω SST 난류모형을 이용한 수중도수의 수치모의)

  • Choi, Seongwook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.44 no.3
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    • pp.329-336
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    • 2024
  • In the case of multi-function weirs installed in Korea, the free hydraulic jump or the submerged hydraulic jump is occurred depending on the height of the gate opening and the tailwater level when the sluice gate of the movable weir is partially opened. In this study, the submerged hydraulic jump for the flows under the sluice gate were simulated and the mean flow, turbulence statistics, and relative water depth are investigated using numerical simulation. For numerical simulation, the unsteady Reynolds-averaged Navier-Stokes equation, volume of fluid method, and k-ωSST turbulence model were used. The numerical model was validated using the results of other researchers' previously performed experiments, and it was investigated that the numerical model appropriately simulates the two-phase flow in the hydraulic jump. In addition, the distribution of mean flow, turbulence statistics, and the length of recirculation region was investigated.

Size Effect of Integral Surface of FW-H Equations on Prediction of Aeroacoustic Noise (FW-H 방정식에서 적분표면의 크기가 유동소음 해석결과에 미치는 영향)

  • Yoo, Seung-Won;Lee, Jong-Soo;Min, Oak-Key
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.416-421
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    • 2001
  • This paper presents the numerical prediction of sound generated by viscous flow past a circular cylinder. The two dimensional flow field is predicted using FEM based Reynolds-averaged Navier-Stokes solver, and the calculated unsteady fluid field values are utilized by an acoustic code that implements Ffowcs Willianms-Hawkings(FW-H) equation. The integration surface used in acoustic analysis is extended from the cylinder surface to permeable surfaces. The 2D based CFD calculations overpredict the acoustic amplitude, however, if adequate correlation length is used, the predicted acoustic amplitude agrees well with experiment. The predictions using extended integral surface in FW-H equation show results that contain the characteristics of quadrupole - volume integration - noise term, and do not vary seriously with the integral surface location.

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Analysis of the flood Characteristics in the Woo-Ee Stream Using FLOW-3D (FLOW-3D를 이용한 우이천의 홍수특성 분석)

  • Yoon, Sun-Kwon;Moon, Young-Il;Kim, Jong-Suk;Oh, Keun-Taek;Lee, Su-Gon
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.603-607
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    • 2007
  • Recently, the frequency of unexpecting heavy rains has been increased due to abnormal climate and extreme rainfall. There was a limit to analyze one dimension or two dimension stream flow of domestic rivers that was applied simple momentum equation and fixed energy conservation. Therefore, hydrodynamics flow analysis in rivers has been needed three dimensional numerical analysis for correct stream flow interpolation. In this study, CFD model on FLOW-3D was applied to stream flow analysis, which solves three dimension RANS(Reynolds Averaged Navier-Stokes Equation) control equation to find out physical behavior and the effect of hydraulic structures. Numerical simulation accomplished those results was compared by using turbulence models such as $k-{\backepsilon}$, RNG $k-{\backepsilon}$ and LES. Those numerical analysis results have been illustrated to bends and junctions by the turbulence energy effects, velocity of flow distributions, water level pressure distributions and eddy flows.

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A Study on the Flow Characteristics in Urban Stream Using 3-D Numerical Model (3차원 수치모형을 이용한 도시하천의 흐름특성에 관한 연구)

  • Yoon, Sun-Kwon;Kim, Jong-Suk;Moon, Young-Il;Lee, Il-Ju
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1287-1292
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    • 2007
  • Recently, the frequency of unexpecting heavy rains has been increased due to abnormal climate and extreme rainfall. There was a limit to analyze 1D or 2D stream flow that was applied simple momentum equation and fixed energy conservation. Therefore, hydrodynamics flow analysis in rivers has been needed 3D numerical analysis for correct stream flow interpretation. In this study, CFD model on FLOW-3D was applied to stream flow analysis, which solves three dimenson RANS(Reynolds Averaged Navier-Stokes Equation) control equation to find out physical behavior and the effect of hydraulic structures. Numerical simulation accomplished those results was compared by using turbulence models such as ${\kappa}-{\varepsilon}$, RNG ${\kappa}-{\varepsilon}$ and LES. Those numerical analysis results have been illustrated by the turbulence energy effects, velocity of flow distributions, water level pressure distributions and eddy flows around the piers at Jangwall bridge in urbarn stream.

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Numerical Simulation on Interactions of Longitudinal Vortices in a Turbulent Boundary Layer (종방향 와동과 난류경계층의 상호작용에 관한 수치해석)

  • Yang Jang-Sik
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.6
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    • pp.637-644
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    • 2005
  • This paper describes the numerical simulation of the interaction between longitudinal vortices ("common flow up") and a 3-D turbulent boundary layer over a flat plate To analyze the common flow up Produced from vortex generators. the flow field behind the vortex generators Is modeled by the information that is available from studies on a half-delta winglet. Also. the Reynolds-averaged Navier-Stokes equation for three-dimensional turbulent flows. together with a two-layer turbulence model to resolve the near-wall flow, is solved by the method of AF-ADI. The computational results predict that the boundary layer is thinned in the regions where the secondary flow is directed toward the wall and thickened where it is directed away from the wall Also. the numerical results. such as Reynolds stresses. turbulent kinetic energy and skin friction characteristics generated from the vortex generators . are reasonably close to the experimental data.