• Title/Summary/Keyword: Stokes waves

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

  • Mun, P.U.;Kim, J.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.297-301
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    • 2008
  • The flight vehicles have cavities such as wheel wells and bomb bays. 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. Resonance phenomena can damage the structures around the cavity and negatively affect aerodynamic performance and stability. The flow field is observed to oscillate in the "shear layer mode" with low aspect ratio. In the present study, numerical analysis was performed for cavity flows by the unsteady compressible three dimensional Reynolds-Averaged Navier-Stokes (RANS) equations with Wilcox's ${\kappa}-{\varepsilon}$ turbulence model. The flow field is observed to oscillate in the "shear layer mode" with large aspect ratio. Based on the SPL(Sound Pressure Level) analysis of the pressure variation at the cavity trailing edge, the dominant frequency was analyzed and compared with the results of Rossiter's formul. The aero-acoustic wave analyzed with CPD(Correlation of Pressure Distribution).

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A Numerical Study of Shock Wave/Boundary Layer Interaction in a Supersonic Compressor Cascade

  • Song, Dong-Joo;Hwang, Hyun-Chul;Kim, Young-In
    • Journal of Mechanical Science and Technology
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    • v.15 no.3
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    • pp.366-373
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    • 2001
  • A numerical analysis of shock wave/boundary layer interaction in transonic/supersonic axial flow compressor cascade has been performed by using a characteristics upwind Navier-Stokes method with various turbulence models. Two equation turbulence models were applied to transonic/supersonic flows over a NACA 0012 airfoil. The results are superion to those from an algebraic turbulence model. High order TVD schemes predicted shock wave/boundary layer interactions reasonably well. However, the prediction of SWBLI depends more on turbulence models than high order schemes. In a supersonic axial flow cascade at M=1.59 and exit/inlet static pressure ratio of 2.21, k-$\omega$ and Shear Stress Transport (SST) models were numerically stables. However, the k-$\omega$ model predicted thicker shock waves in the flow passage. Losses due to shock/shock and shock/boundary layer interactions in transonic/supersonic compressor flowfields can be higher losses than viscous losses due to flow separation and viscous dissipation.

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Passive Control of the Condensation Shock Wave Using Bleed Slots (Bleed Slot을 사용한 응축충격파의 피동제어)

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.7
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    • pp.997-1004
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    • 2002
  • The current study describes experimental and computational works on the passive control of the steady and unsteady condensation shock waves, which are generated in a transonic nozzle. The bleed slots are installed on the contoured wall of the transonic nozzle in order 10 control the magnitude of the condensation shock wave and its oscillations. For computations, a droplet growth equation is copuled with two-dimensional Navier-Stokes equation systems. Computations are carried out using a third-order MUSCL type TVD finite-difference scheme with a second-order fractional time step. Baldwin-Lomax turbulence model is employed to close the governing equations. An experiment using an indrafi transonic wind tunnel is made to validate the computational results. The current computations represented well the experimental flows. From both the experimental and computational results it is found that the magnitude of the condensation shock wave in the bleed slotted nozzle is signi ficantly reduced, compared with no passive control of solid wall. The oscillations of the condensation shock wave are successfully suppressed by a bleed slot system.

A Study on the Flow of POSRV in Reactor Coolant System (원자로 냉각계통의 POSRV 유동에 관한 연구)

  • Kwon, Soon-Bum;Kim, In-Goo;Ahn, Hyung-Joon;Lee, Dong-Won;Baek, Seung-Cheol;Kim, Kyung-Ho
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.568-573
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    • 2003
  • When a safety valve equipped in a nuclear power plant opens in an instant by an accident, a moving shock wave propagates downstream the valve, inducing a complicated unsteady flow field. The moving shock wave may exert severe load to the structure. So, to reduce the load acting on the wall of POSRV, a gradual opening of POSRV is adopted in general. In theses connections, a numerical work is performed to investigate the effect of valve opening time on the unsteady flow fields downstream of the valve. Compressible, two-dimensional Navier-Stokes equations are used with the finite volume method. The obtained results show that sharp pressure rise through moving shock tor the case of instant opening is attenuated by employing the gradual opening of valve. It is turned that the flows for the two cases of gradual valve opening time show the similar to that of highly under-expanded one in jet structure having expansion and compression waves and Mach stem. Also, comparing with the results for the two cases of opening time, the shorter the valve opening is, the pressure gradient at the downstream of the valve becomes softly.

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Development of Weakly Nonlinear Wave Model and Its Numerical Simulation (약비선형 파랑 모형의 수립 및 수치모의)

  • 이정렬;박찬성
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.4
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    • pp.181-189
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    • 2000
  • A weakly nonlinear mild-slope equation has been derived directly from the continuity equation with the aid of the Galerkin's method. The equation is combined with the momentum equations defined at the mean water level. A single component model has also been obtained in terms of the surface displacement. The linearized form is completely identical with the time-dependent mild-slope equation proposed by Smith and Sprinks(1975). For the verification purposes of the present nonlinear model, the degenerate forms were compared with Airy(1845)'s non-dispersive nonlinear wave equation, classical Boussinesq equation, andsecond¬order permanent Stokes waves. In this study, the present nonlinear wave equations are discretized by the approximate factorization techniques so that a tridiagonal matrix solver is used for each direction. Through the comparison with physical experiments, nonlinear wave model capacity was examined and the overall agreement was obtained.

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Numerical Analysis of the Unsteady Subsonic Flow around a Plunging Airfoil

  • Lee, Kyungwhan;Kim, Jaesoo
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.3
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    • pp.201-209
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    • 2013
  • Much numerical and experimental research has been done for the flow around an oscillating airfoil. The main research topics are vortex shedding, dynamic stall phenomenon, MAV's lift and thrust generation. Until now, researches mainly have been concentrated on analyzing the wake flow for the variation of frequency and amplitude at a low angle of attack. In this study, wake structures and acoustic wave propagation characteristics were studied for a plunging airfoil at high angle of attack. The governing equations are the Navier-Stokes equation with LES turbulence model. OHOC (Optimized High-Order Compact) scheme and 4th order Runge-Kutta method were used. The Mach number is 0.3, the Reynolds number is, and the angle of attack is from $20^{\circ}$ to $50^{\circ}$. The plunging frequency and the amplitude are from 0.05 to 0.15, and from 0.1 to 0.2, respectively. Due to the high resolution numerical method, wake vortex shedding and pressure wave propagation process, as well as the propagation characteristics of acoustic waves can be simulated. The results of frequency analysis show that the flow has the mixed characteristics of the forced plunging frequency and the vortex shedding frequency at high angle of attack.

A Study on Wave Run-up Height and Depression Depth around Air-water Interface-piercing Circular Cylinder

  • Koo, Bon-Guk;Park, Dong-Woo;Paik, Kwang-Jun
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.20 no.3
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    • pp.312-317
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    • 2014
  • In this paper, the wave run-up height and depression depth around air-water interface-piercing circular cylinder have been numerically studied. The Reynolds Averaged Navier-Stokes equations (RANS) and continuity equations are solved with Reynolds Stress model (RSM) and volume of fluid (VOF) method as turbulence model and free surface modeling, respectively. A commercial Computational Fluid Dynamics (CFD) software "Star-CCM+" has been used for the current simulations. Various Froude numbers ranged from 0.2 to 1.6 are used to investigate the change of air-water interface structures around the cylinder and experimental data and theoretical values by Bernoulli are compared. The present results showed a good agreement with other studies. Kelvin waves behind the cylinder were generated and its wave lengths are longer as Froude numbers increase and they have good agreement with theoretical values. And its angles are smaller with the increase of Froude numbers.

A Fundamental Study for the Numerical Simulation Method of Green Water Occurrence on Bow Deck (선수부 갑판침입수의 수치시뮬레이션에 대한 기초연구)

  • Jeong, Kwang-Leol;Lee, Young-Gill;Kim, Nam-Chul
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.2
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    • pp.188-195
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    • 2010
  • Green water load is an important parameter to be considered in designing a modern ship or offshore structures like FPSO and FSRU. In this research, a numerical simulation method for green water phenomenon is introduced. The Navier-Stokes equations and the continuity equation are used as governing equations. The equations are calculated using Finite Difference Method(FDM) in rectangular staggered grid system. To increase the numerical accuracy near the body, the Cartesian cut cell method is employed. The nonlinear free-surface during green water incident is defined by Marker-density method. The green waters on a box in regular waves are simulated. The simulation results are compared with other experimental and computational results for verification. To check the applicability to moving ship, the green water of the ship which is towed by uniform force in regular wave, is simulated. The ship is set free to heave and to surge.

A study of Fluid Drag Forces Acting on Artificial Steel Reefs (강제어초에 작용하는 유체항력에 관한 연구)

  • Shin, Hyun-Kyoung;Yang, Chang-Sub;Lee, Hyung-Lark;Kim, Tae-Moo;Eom, Ho-Seob
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.10a
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    • pp.273-276
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    • 2002
  • Many artificial steel reefs are being built in Japan, however, in Korea, only few steel reefs were manufactured by POSCO, recently. In order to develop their novel types suitable for marine environments near the Korean Peninsula, it is very important to carry out model tests in the initial design stage. In the Ocean Engineering Wide Tank($L{\times}B{\times}D=30{\times}20{\times}2.5m$) and the Circulating Water Channel of the University of Ulsan, Korea, fluid drag forces acting on models of steel reefs with different sizes are measured in waves and currents. Also numerical predictions based on the Wavier-Stokes equation are made and compared with experimental results.

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An Effect of Numerical Region with High Resolution for Kelvin Wave on Ship Resistance (선체 주위 파에 대한 고정도 모사가 선체 저항에 미치는 영향)

  • Kang, Min Jae;Oh, Seok Hwan;Kim, Chan Woo;Yoon, Mi Jin;Lee, Sang Bong
    • Journal of the Society of Naval Architects of Korea
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    • v.57 no.5
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    • pp.278-286
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    • 2020
  • Reynolds-averaged Navier-Stokes simulations have been performed to investigate an effect of numerical region with high resolution for Kelvin wave around KRISO container ship on its resistance. In the present study, 13 millions cells were used to describe wave profile along the ship hull and Kelvin wave patterns. In order to control a size of numerical region with high resolution for waves around the hull, we employed relaxation zones from a side boundary of numerical domain in which Kelvin wave was suppressed. When the far-field Kelvin wave was not precisely resolved due to the relaxation zone, the instantaneous history of ship resistance was affected although the time average of ship resistance showed -1.15~2.1 % errors. Especially, the damping characteristics of ship resistance in time history was significant when using a large relaxation zone in the side boundary.