• 제목/요약/키워드: k-$\omega$ turbulence model

검색결과 172건 처리시간 0.022초

RAE-A 날개-동체 형상의 압력 분포에 대한 격자 수렴성 연구 (Grid Convergence on Surface Pressure Distribution over the RAE-A Wing-Body Configuration)

  • 김기로;박수형;사정환;조금원
    • 한국항공우주학회지
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    • 제45권3호
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    • pp.226-232
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    • 2017
  • 본 연구에서는 RAE "A" 날개-축대칭 동체 형상을 이용하여 유동흐름 방향, Span 방향과 동체 둘레 방향(${\phi}$ 방향)에 따라 격자에 대한 수렴성 및 비행체의 압력 분포 변화를 수치적으로 연구하였다. 아음속 및 천음속 영역 조건에서 $k-{\omega}$ Wilcox-Durbin+ 난류 모델을 사용하여 2차 정확도의 수치적 해를 예측하는 유동해석을 수행하였다. 아음속 유동 조건에서는 해석결과가 실험결과와 매우 잘 일치하였으나, 충격파가 존재하는 천음속 유동에서는 약간의 차이가 발생하였다. Cubic spline을 사용하는 외삽 방법으로 격자 수렴성을 검토하였다. 외삽 방법을 통해 회전 방향의 격자 조밀도가 격자 수렴성에 가장 큰 영향을 미침을 알 수 있었다. 격자 수렴성에 대한 검토 결과를 바탕으로 더 조밀한 격자를 생성하였다. 이를 통해 특히 RAE-A 형상의 축대칭 동체 표면에서 더 정확한 해석 결과를 얻을 수 있음을 보였다.

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

  • 김종록
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 제33회 추계학술대회논문집
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    • pp.487-491
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    • 2009
  • center-body디퓨져에 대한 형상 설계 요소를 분석하고 수치적 기법을 통한 설계형상 변수를 구성하였다. 수치기법으로는 Center-body 디퓨져의 내부유동해석을 위하여 2차원 축대칭 Navier-Stokes equation와 $k-{\omega}$난류모델을 사용하였다. 또한 center-body디퓨져의 시동압력과 진공도 및 형상설계변수에 대해서 2차목 디퓨져와 비교하였다.

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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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    • 제20권8호
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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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    • 한국전산유체공학회 2006년도 PARALLEL CFD 2006
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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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    • 제10권3호
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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.

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

  • 문바울;김재수
    • 한국전산유체공학회지
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    • 제15권2호
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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.

AN INVESTIGATION OF SURFACE VORTICES BEHAVIOR IN PUMP SUMP

  • Kang, Won-Tae;Shin, Byeong-Rog
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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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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초음속 동체후미부에서 발생하는 Plume-Induced Shock Wave에 관한 연구 (A Study of the Plume-Induced Shock Wave on Supersonic Afterbodies)

  • 이영기;김희동
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2005년도 제24회 춘계학술대회논문집
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    • pp.399-402
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    • 2005
  • 본 연구에서는 초음속 자유유동과 제트 플룸 간의 간섭에 관련된 유동현상들을 수치해석적 방법을 이용하여 고찰하였다. 수치계산은 유한체적법으로 이산화한 압축성 mass-averaged Navier-Stokes 방정식에 표준 $k-{\omega}$ 난류모델을 적용하여 수행하였으며, 계산에 사용된 모델은 음속노즐을 가지는 동체후미부 만으로 단순화하였다. 수치계산결과는 플룸압력비, 기류마하수 및 베이스 직경이 플룸의 부족팽창에 의해서 동체후미부 상에 발생하는 plume-induced shock wave의 위치에 주는 영향에 대하여 주로 기술하였다.

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

  • 감호동;김정수;배대석
    • 한국추진공학회지
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    • 제16권2호
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    • pp.10-16
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    • 2012
  • 지상연소시험용 추력기 노즐의 성능해석을 위하여 노즐유동 특성 및 플룸 구조를 해석한다. 2차원 축소확대 노즐유동을 해석하고, 이를 실험값과 비교하여 해석기법 검증 및 난류모델 선정을 수행한다. k-${\omega}$ SST 난류모델을 사용한 Reynolds-averaged Navier-Stokes 방정식으로 2차원 축대칭 지상연소시험용 노즐을 해석한 결과, 초기 설계된 노즐내부에서 충격파 및 유동박리에 의한 성능저하가 관찰되었다. 이에 노즐 확대부분의 형상을 수정하여 성능 향상을 확인하였다.

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

  • 이형로;유일용;곽인근;이승수
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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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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