• 제목/요약/키워드: Free Vortex Method

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수면하 보오텍스 유동과 자유표면과의 상호 작용에 관한 연구 (Numerical and Experimental Investigation on the Interaction of Subsurface Vortical Flows with a Free Surface)

  • 송무석
    • 대한조선학회논문집
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    • 제30권2호
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    • pp.76-85
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    • 1993
  • 자유표면과 수면하 vortex 유동과의 상호작용으로 생기는 수면위의 특이 형상을 실험과 수치해석으로 얻어진 결과에 근거하여 논하였다. 먼저 2차원적인 실험이나 해석적인 연구로 이해될 수 있는 "striation"의 발생을 살펴 본다. "Scar"라 불리우는 striation과 수직한 형상은 2차원 vortex filament와 vortex pair 생성시 생겨나는 residual vortex의 상호작용으로 설명하였다. 간단하면서도 중요한 상호작용의 역학을 연구할 목적으로 vortex ring이 자유표면과 수직하게 충돌할 경우에 나타나는 현상들을 실험적으로 논하였고 이때 상호작용의 초기단계를 축대칭 문제로 하여 수치해석적으로 얻어진 결과와 비교하였다. 상호작용의 후기단계는 vortex reconnection을 포함하는 복잡한 과정인데 이때 수면에서의 짧은파 생성을 vortex ring의 수면과의 경사진 충돌로 설명하였다. 또한 위의 수면과 생성을 간단한 해석적 model로 재구성하여 비교해 보았다. 끝으로 수면위에 존재하는 오염물질이 수면하 vortex 유동에 미치는 영향을 수치해석적인 방법으로 free slip및 rigid wall 조건의 경우와 비교하여 살펴보았다.

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Lagrangian 보오텍스 방법에서의 압력장 계산 (Computation of Pressure Fields in the Lagrangian Vortex Method)

  • 이승재;김광수;서정천
    • 대한조선학회논문집
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    • 제41권1호
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    • pp.23-30
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    • 2004
  • In the Lagrangian vortex particle method based on the vorticity-velocity formulation for solving the incompressible Navier-Stokes equations, a numerical scheme for calculating pressure fields is presented. Implementation of the numerical method is directly connected with the well-established surface panel methods, just by dealing with the dynamic coupling among vorticity field. Assuming the vorticity and the velocity fields are to be calculated in time domain analysis, the pressure calculation for a complete set of solution at present time step is performed in a similar way to the one used in the Eulerian description. For a validation of the present method, we illustrate the early development of the viscous flow about an impulsive started circular cylinder for Reynolds number 550. The comparative study with the Eulerian finite Volume method provides an extensive understanding and application of the mesh-free Lagrangian vortex methods for numerical simulation of viscous flows around arbitrary bodies of general shape.

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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최신 와법에 의한 Weis-Fogh형 선박추진기구의 비정상 점성 흐름의 수치해석 (Numerical Analysis of Unsteady Viscous Flow through Ship's Propulsion Mechanism of Weis-Fogh Type by Advanced Vortex Method)

  • 노기덕
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.1407-1412
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    • 2004
  • The velocity and pressure fields of a ship's propulsion mechanism of Weis-Fogh type are studied by advanced vortex method. The wing of NACA0010 type and the channel are approximated by a finite of source and vortex panels, and the free vortices are introduced from the surface of their bodies. The viscous diffusion of fluid is represented by the core-spreading method. The velocity field is calculated on the basis of Biot-Savart law and the pressure field is calculated from the integration equation formulated by Uhlman. The flow fields of this propulsion mechanism are unsteady and complex, but the flow fields are clarified by numerical simulation.

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와도-속도 정식화에서 Lagrangian 보오텍스법과 유한체적법의 비교 (A Comparison of a Lagrangian Vortex Method with a Finite Volume Method for the Vorticity-Velocity Formulation.)

  • 김광수;이승재;서정천
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2002년도 추계 학술대회논문집
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    • pp.47-52
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    • 2002
  • We present an improved Lagrangian vortex method in 2-D incompressible unsteady viscous flows, which is based on a mesh-free integral approach of the velocity-vorticity formulation. Vorticity fields are represented by discrete vortex blobs that are updated by the Lagrangian vorticity transport with the particle strength exchange scheme. Velocity fields are expressed in a form of the Helmholtz decomposition, which are calculated by a fast algorithm of the Biot-Savart integration with a smoothed kernel and by a well-established panel method. No-slip condition is enforced through viscous diffusion of vorticity from a solid body into field. The vorticity flux is determined in such a way that spurious slip velocity vanishes. Through the comparison with the existing finite volume scheme for the transient vortical flows around an impulsively started cylinder at Reynolds number Re=550, we would obtain a more accurate scheme for vortex methods in complicated flows.

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점성을 고려한 2차원 비선형 자유표면파 문제의 수치해석 (Numeric Analysis of 2-Dimensional Nonlinear Viscous Free-Surface Wave Problems)

  • 김용환
    • 대한조선학회논문집
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    • 제30권2호
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    • pp.98-111
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    • 1993
  • 2차원 비정상 비선형 자유표면파를 해석하고 자유표면파에서의 점성효과를 관찰하였다. 유동장내의 Navier-Stokes 방정식과 연속방정식을 풀기 위해 유한해석법을 적용하였고, 자유표면의 처리를 위해 MAC 기법을 적용하였다. 그리고, 자유표면에서는 표면장력을 고려한 경계조건을 적용하였으며, 층류에 대한 점성효과만을 고려하였다. 계산모델은 천수역에서의 점성영향, 자유표면 근처에서의 보오텍스 쌍(vortex-pair)의 거동 및 전진하는 부유체 앞에서의 자유표면파문제 등이다. 천수역문제에서는 바닥과의 마찰에 기인한 자유표면파의 변화를 고찰하였으며, 특히 고립파에 대한 적용으로서 파고의 감소정도, 수직벽면에서의 파상승(wave run-up) 및 수심의 변화로 인한 유장변화 등을 살펴보았다. 보오텍스 문제에서는 보오텍스의 이동에 따른 자유표면주위의 유동변화를 관찰하였으며, 사각부유체 주위의 유동문제에서는 전진속도의 차이에 따른 자유표면파의 차이 및 물체주위의 유동특성을 관찰하였다.

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자유수면 근처에서의 보오텍스 방출 현상에 관한 고찰 (Study on the Vortex Shedding Phenomena Near Free Surface)

  • 홍석원;이판묵
    • 대한조선학회논문집
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    • 제28권2호
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    • pp.118-131
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    • 1991
  • 자유수면 근처에서의 박리유동 현상을 수치 시뮬레이션 방법과 유선 가시화 시험 방법으로 연구하였다. 수치 시뮬레이션은 물체표면에서 유기되고 확산(diffusion) 및 대류(convection)에 의해 유동중으로 박리되어 방출되는 보오티시티(vorticity)를 다수의 보오텍스로 치환하여 유동의 변화와 유체력을 구하는 보오텍스블럽 법을 사용하여 수행하였다. 이 방법으로 대규모의 와류의 생성 및 변화를 추정할 수 있으며 또한 자유수면과 와류유동의 상호간섭현상 그리고 동 유체력 등을 추정할 수 있었다. 유선 가시화 시험은 해사기술연구소의 공동수조에서 수행하였으며, 직류 전원에 의해 얻어진 수소기포를 가시화 입자로 이용하였다. 조명장치는 할로겐 램프를 이용하였고, 연속사진을 가시화의 결과로 사용하였다. 또한 자유수면의 시간적 공간적 변화를 파고계를 이용하여 계측하고 이로부터 와류유동의 변화 주기를 추정하였다.

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Numerical Analysis of Unsteady Viscous Flow Through a Weis-Fogh Type Ship Propulsion Mechanism Using the Advanced Vortex Method

  • Ro Ki-Deok;Kang Myeong-Hun;Kong Tae-Hee
    • Journal of Advanced Marine Engineering and Technology
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    • 제29권7호
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    • pp.769-778
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    • 2005
  • The velocity and pressure fields of a ship's Weis-Fogh type propulsion mechanism are studied in this paper using an advanced vortex method. The wing (NACA0010 airfoil) and channel are approximated by source and vortex panels. and free vortices are introduced away from the body surfaces. The viscous diffusion of fluid is represented using the core-spreading model to the discrete vortices. The velocity is calculated on the basis of the generalized Biot-Savart law and the pressure field is calculated from an integral, based on the instantaneous velocity and vorticity distributions in the flow field. Two-dimensional unsteady viscous flow calculations of this propulsion mechanism are shown. and the calculated results agree qualitatively with the measured thrust and drag due to un-modeled large fluctuations in the measured data.

Flow Past Airfoil Moving Reciprocally in a Channel by Vortex Method

  • Ro Ki-Deok
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1248-1255
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    • 2006
  • The velocity and pressure fields of a ship's propulsion mechanism of the Weis-Fogh type, in which a airfoil moves reciprocally in a channel, are studied in this paper using the advanced vortex method. The airfoil and the channel are approximated by a finite number of source and vortex panels, and the free vortices are introduced from the body surfaces. The viscous diffusion of fluid is represented using the core-spreading model to the discrete vortices. The velocity is calculated on the basis of the generalized Biot-Savart law and the pressure field is calculated from integrating the equation given by the instantaneous velocity and vorticity fields. Two-dimensional unsteady viscose flows of this propulsion mechanism are numerically clarified, and the calculated results agree well with the experimental ones.

보오텍스 인 셀 방법을 이용한 점성유동해석 연구 (A STUDY OF INCOMPRESSIBLE VISCOUS FLOW ANALYSIS BY VORTEX-IN-CELL METHOD)

  • 이준혁;김유철;이경준;서정천
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.78-85
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    • 2011
  • The Vortex-In-Cell(VIC) method combined with panel method is applied to the analysis of incompressible unsteady viscous flow. The dynamics of resulting flow is governed by the vorticity transport equation in Lagrangian form with vortex particle representation of the flow field. A regular grid which is independent to the shape of a body is used for numerical evaluation based on immersed boundary technique. With an introduction of this approach, the development and validation of the VIC method is presented with some computational results for incompressible viscous flow around two or three dimensional bodies such as wing section, sphere, finite wing and marine propeller.

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