• Title/Summary/Keyword: k-$\omega$ turbulence model

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A Numerical Analysis of Sediment-laden Flow in Open Channel with Bed-load Effect (개수로에서 소유사의 영향을 고려한 부유입자 유동에 관한 수치적 연구)

  • Yun, Jun-Yong;Gang, Seung-Gyu;Gang, Si-Hwan
    • Journal of Korea Water Resources Association
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    • v.33 no.4
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    • pp.461-469
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    • 2000
  • An numerical analysis of sediment-laden flow is carried out, and results are compared with the experiments of Coleman(1981, 1986) that included the several cases varying sediment size and quantity in open channel flow. K-$\omega$ turbulence model is selected for the fully turbulent flow field, and the concentration equation considering the fall velocity is adopted for the concentration field. The model of Einstein and Chien(1955) is applied to couple the velocity field and the concentration field. Most of researches have been carried out without considering the bed-load thickness, but it is found that the bed-load thickness cannot be ignored in case of a large amount of sediment or a large size of it. The bed-load thickness and surface roughness are considered in this study. Here, $\beta$ value, which is defined by the reciprocal of turbulent Schmidt number and is related with the concentration profile, is found to be varied according to the sediment size and quantity. Even though most of researchers have insisted that $\beta$ had always larger than 1.0, it may be concluded that $\beta$ can have smaller value than 1.0, that is coincident with the report of recent research.

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Numerical Study for Design of Center-body Diffuser (Center-body 디퓨져 형상설계를 위한 수치적연구)

  • Kim, Jong-Rok
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.11a
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    • pp.487-491
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    • 2009
  • A study is analyzed on the design factor of Center-body diffuser and performed on conceptual design of Center-body diffuser with Computational Fluid Dynamic. The flow field of Center-body diffuser is calculated using Axisymmetric two-dimensional Navier-Stokes equation with $k-{\omega}$ turbulence model. The center-body diffuser is compared with second throat exhaust diffuser in terms of starting pressure, the degree of vacuum pressure, the design factor.

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Analysis of Two Dimensional and Three Dimensional Supersonic Turbulence Flow around Tandem Cavities

  • Woo Chel-Hun;Kim Jae-Soo;Lee Kyung-Hwan
    • Journal of Mechanical Science and Technology
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    • v.20 no.8
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    • pp.1256-1265
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    • 2006
  • The supersonic flows around tandem cavities were investigated by two-dimensional and three-dimensional numerical simulations using the Reynolds-Averaged Navier-Stokes (RANS) equation with the k- ω turbulence model. The flow around a cavity is characterized as unsteady flow because of the formation and dissipation of vortices due to the interaction between the freestream shear layer and cavity internal flow, the generation of shock and expansion waves, and the acoustic effect transmitted from wake flow to upstream. The upwind TVD scheme based on the flux vector split with van Leer's limiter was used as the numerical method. Numerical calculations were performed by the parallel processing with time discretizations carried out by the 4th-order Runge- Kutta method. The aspect ratios of cavities are 3 for the first cavity and 1 for the second cavity. The ratio of cavity interval to depth is 1. The ratio of cavity width to depth is 1 in the case of three dimensional flow. The Mach number and the Reynolds number were 1.5 and $4.5{\times}10^5$, respectively. The characteristics of the dominant frequency between two- dimensional and three-dimensional flows were compared, and the characteristics of the second cavity flow due to the first cavity flow was analyzed. Both two dimensional and three dimensional flow oscillations were in the 'shear layer mode', which is based on the feedback mechanism of Rossiter's formula. However, three dimensional flow was much less turbulent than two dimensional flow, depending on whether it could inflow and outflow laterally. The dominant frequencies of the two dimensional flow and three dimensional flows coincided with Rossiter's 2nd mode frequency. The another dominant frequency of the three dimensional flow corresponded to Rossiter's 1st mode frequency.

Numerical Analysis of Three Dimensional Supersonic Flow around Cavities

  • Woo Chel-Hun;Kim Jae-Soo;Kim Jong-Rok
    • 한국전산유체공학회:학술대회논문집
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    • 2006.05a
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    • pp.311-314
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    • 2006
  • The supersonic flow around tandem cavities was investigated by three- dimensional numerical simulations using the Reynolds-Averaged Navier-Stokes(RANS) equation with the $\kappa-\omega$ thrbulence model. The flow around a cavity is characterized as unsteady flow because of the formation and dissipation of vortices due to the interaction between the freestream shear layer and cavity internal flow, the generation of shock and expansion waves, and the acoustic effect transmitted from wake flow to upstream. The upwind TVD scheme based on the flux vector split using van Leer's limiter was used as the numerical method. Numerical calculations were performed by the parallel processing with time discretizations carried out by the 4th-order Runge-Kutta method. The aspect ratio of cavities are 3 for the first cavity and 1 for the second cavity. The ratio of cavity interval to depth is 1. The ratio of cavity width to depth is 1 in the case of three dimensional flow. The Mach number and the Reynolds number were 1.5 and $4.5{\times}10^5$, respectively. The characteristics of the dominant frequency between two-dimensional and three-dimensional flows were compared, and the characteristics of the second cavity flow due to the fire cavity flow cavity flow was analyzed. Both two dimensional and three dimensional flow oscillations were in the 'shear layer mode', which is based on the feedback mechanism of Rossiter's formula. However, three dimensional flow was much less turbulent than two dimensional flow, depending on whether it could inflow and outflow laterally. The dominant frequencies of the two dimensional flow and three dimensional flows coincided with Rossiter's 2nd mode frequency. The another dominant frequency of the three dimensional flow corresponded to Rossiter's 1st mode frequency.

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Improved version of LeMoS hybrid model for ambiguous grid densities

  • Shevchuk, I.;Kornev, N.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.3
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    • pp.270-281
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    • 2018
  • Application of the LeMoS hybrid (LH) URANS/LES method for the wake parameters prediction is considered. The wake fraction coefficient is calculated for inland ship model M1926 under shallow water conditions and compared to results of PIV measurements. It was shown that due to lack of the resolved turbulence at the interface between LES and RANS zones the artificial grid induced separations can occur. In order to overcome this drawback, a shielding function is introduced into LH model. The new version of the model is compared to the original one, RANS $k-{\omega}$ SST and SST-IDDES models. It is demonstrated that the proposed modification is robust and capable of wake prediction with satisfactory accuracy.

NUMERICAL ANALYSIS FOR TURBULENT FLOW AND AERO-ACOUSTICS AROUND A THREE DIMENSIONAL CAVITY WITH HIGH ASPECT RATIO (3차원 고세장비 공동 주위의 난류유동 및 음향 특성에 관한 수치적 연구)

  • Mun, P.U.;Kim, J.S.
    • Journal of computational fluids engineering
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    • v.15 no.2
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    • pp.7-13
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    • 2010
  • Flight vehicles such as wheel wells and bomb bays have many cavities. The flow around a cavity is characterized as an unsteady flow because of the formation and dissipation of vortices brought by the interaction between the free stream shear layer and the internal flow of the cavity. The resonance phenomena can damage the structures around the cavity and negatively affect the aerodynamic performance and stability of the vehicle. In this study, a numerical analysis was performed for the cavity flows using the unsteady compressible three-dimensional Reynolds-Averaged Navier-Stokes (RANS) equation with Wilcox's turbulence model. The Message Passing Interface (MPI) parallelized code was used for the calculations by PC-cluster. The cavity has aspect ratios (L/D) of 5.5 ~ 7.5 with width ratios (W/D) of 2 ~ 4. The Mach and Reynolds numbers are 0.4 ~ 0.6 and $1.6{\times}10^6$, respectively. The occurrence of oscillation is observed in the "shear layer and transient mode" with a feedback mechanism. Based on the Sound Pressure Level (SPL) analysis of the pressure variation at the cavity trailing edge, the dominant frequencies are analyzed and compared with the results of Rossiter's formula. The dominant frequencies are very similar to the result of Rossiter's formula and other experimental datum in the low aspect ratio cavity (L/D = ~4.5). In the high aspect ratio cavity, however, there are other low dominant frequencies of the leading edge shear layer with the dominant frequencies of the feedback mechanism.

A Study of the Plume-Induced Shock Wave on Supersonic Afterbodies (초음속 동체후미부에서 발생하는 Plume-Induced Shock Wave에 관한 연구)

  • Lee Young-Ki;Kim Heuy-Dong;Raghunathan Srinivasan
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • v.y2005m4
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    • pp.399-402
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    • 2005
  • The present numerical study describes the flow physics on the interaction between the supersonic freestream and jet plume. The compressible flow past a simplified afterbody model with a sonic nozzle is investigated using mass-averaged Navier-Stokes equations, discretized by a fully implicit finite volume scheme, and the standard $k-{\omega}$ turbulence model. The results obtained through the present study are discussed specifically regarding the effect of the plume pressure ratio, freestream Mach number and base dimensions on the location of the plume-induced shock wave generated on the afterbody by the underexpansion of the jet plume.

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AN INVESTIGATION OF SURFACE VORTICES BEHAVIOR IN PUMP SUMP

  • Kang, Won-Tae;Shin, Byeong-Rog
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.592-595
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    • 2011
  • A numerical investigation on a suction vortices, free vortices and subsurface vortices behavior in the model sump system with multi-intakes is performed A test model sump and piping system were designed based on Froude similitude for the prototype of the recommended structure layout by HI-9.B Standard for Pump Intake Design of the Hydraulic Institute. A numerical analysis of three dimensional multiphase flows through the model sump is performed by using the finite volume method of the CFX code with multi-block structured grid systems. A ${\kappa}-{\omega]$ ShearStressTransportturbulencemodelandthe Rayleigh-Plesset cavitation model are used for solving turbulence cavitating flow. From the numerical analysis, several types of vortices are reproduced and their formation, growing shedding and detailed vortex structures are investigated. To reduce abnormal vortices, an anti-vortex device is considered and its effect is investigated and discussed.

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Performance Analysis and Configuration Design of the Thruster Nozzle for Ground-firing Test and Evaluation (지상연소시험평가용 추력기 노즐의 성능해석과 형상설계)

  • Kam, Ho-Dong;Kim, Jeong-Soo;Bae, Dae-Seok
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.2
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    • pp.10-16
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    • 2012
  • A computational analysis of nozzle flow characteristics and plume structure is conducted to examine performance of the supersonic nozzle employed in a thruster for ground firing test. At first, flow simulations in two-dimensional converging-diverging nozzle are performed for the verification of computational capability as well as turbulence model validity. Axisymmetric converging-diverging nozzles for ground firing test are analyzed with the k-${\omega}$ SST model. A performance penalty caused by flow separation in a diverging section is observed in initially-designed nozzle. The performance could be enhanced by the modification of the diverging section of nozzle contour.

NUMERICAL SIMULATIONS OF TWO DIMENSIONAL INCOMPRESSIBLE FLOWS USING ARTIFICIAL COMPRESSIBILITY METHOD (가상 압축성 기법을 이용한 이차원 비압축성 유동의 수치모사)

  • Lee, H.R.;Yoo, I.Y.;Kwak, E.K.;Lee, S.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.389-396
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    • 2010
  • In this paper, a new computational code was developed using Chorin's artificial compressibility method to solve the two-dimensional incompressible Navier-Stokes equations. In spatial derivatives, Roe's flux difference splitting was used for the inviscid flux, while central differencing was used for the viscous flux. Furthermore, AF-ADI with dual time stepping method was implemented for accurate unsteady computations. Two-equation turbulence models, Menter's $k-{\omega}$ SST model and Coakley's $q-{\omega}$ model, hae been adopted to solve high-Reynolds number flows. A number of numerical simulations were carried out for steady laminar and turbulent flow problems as well as unsteady flow problem. The code was verified and validated by comparing the results with other computational results and experimental results. The results of numerical simulations showed that the present developed code with the artificial compressibility method can be applied to slve steady and unsteady incompressible flows.

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