• 제목/요약/키워드: vorticity equation

검색결과 75건 처리시간 0.021초

부방파제의 유동과 와의 생성 및 소멸에 관한 연구 (A Study on Flow and Creation and Dissipation of Vorticity around Rectangular Floating Breakwater)

  • 윤종성;김명규;정광효;김가야
    • 한국해양공학회지
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    • 제22권3호
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    • pp.24-33
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    • 2008
  • In this study, flow and creation and dissipation of vorticity around rectangular floating breakwater is investigated both experimentally and numerically. The PIV system(Particle image velocimetry) is employed to obtain the velocity field in the vorticity of rectangular structure. The numerical model, combined with ${\kappa}-{\varepsilon}$ turbulence model and the VOF method based on RANS equation, is used to analyze the turbulence structure. In the results of this study, the vorticity is found around conner of rectangular structure at all time domain, and creation and dissipation of vorticity are closely related to wave period. Separation points of phase of vortex due to flow separation for longer period waves are faster then for shorter period waves.

입자와법에 의한 급 출발하는 타원형 실린더 주위 유동해석 (Numerical study of Flow around Impulsively Started Elliptic Cylinder using Vortex Particle Method)

  • 주남수;이상환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1601-1606
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    • 2004
  • In this paper, the unsteady behavior of the viscous flow field past an impulsively started elliptic cylinder is studied numerically. In order to analyze flow field, we introduce vortex particle method. The vorticity transport equation is solved by fractional step algorithm which splits into convection term and diffusion term. The convection term is calculated with Biot-Savart law, the no-through boundary condition is employed on solid boundaries. The diffusion term is modified based on the scheme of particle strength exchange. The particle redistributed scheme for general geometry is adapted. The flows around an elliptic cylinder are investigated for various attack angles at Reynolds number 200. The comparison between numerical results of present study and experimental data shows good agreements.

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입자와법에 의한 급 출발하는 타원형 실린더 주위 유동해석 (Numerical Study of Flow Around Impulsively Started Elliptic Cylinder Using Vortex Particle Method)

  • 이상환;주남수
    • 대한기계학회논문집B
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    • 제28권7호
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    • pp.809-817
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    • 2004
  • In this paper, the unsteady behavior of the viscous flow field past an impulsively started elliptic cylinder is studied numerically. In order to analyze flow field, we introduce vortex particle method. The vorticity transport equation is solved by fractional step algorithm which splits into convection term and diffusion term. The convection term is calculated with Biot-Savart law, the no-through boundary condition is employed on solid boundaries. The diffusion term is modified based on the scheme of particle strength exchange. The particle redistributed scheme for general geometry is adapted. The flows around an elliptic cylinder are investigated for various attack angles at Reynolds number 200. The comparison between numerical results of present study and experimental data shows good agreements.

원주 주위의 비정상 층류유동과 열전달에 대한 수치해석 (Numerical Analysis for the Unsteady Laminar Flow and Heat Transfer Around a Circular Cylinder)

  • 조석호;남청도;부정숙
    • Journal of Advanced Marine Engineering and Technology
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    • 제15권2호
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    • pp.64-72
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    • 1991
  • The unsteady, two-dimensional laminar flow and heat transfer of an incompressible, constant-property fluid flowing around a circular cylinder are numerically analyzed. The Navier-Strokes equation and the energy equation are solved by the finite difference method. The range of the Reynolds number is 10 to 100 and the Prandtl number considered is 0.7. The contours of the flow pattern, equi-vorticity line and isotherm pattern around a circular cylinder are shown. Also, numerical solutions of the surface vorticity, pressure coefficient, drag coefficient, local Nusselt number and mean Nusselt number are obtained. The numerical results for the final time fo calculation are compared with the other available experimental and theoretical results for the steady state and are found to be in good agreement with them.

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점착경계처리법을 이용한 원형실린더 주위의 유동해석 (NUMERICAL STUDY ON FLOW OVER CIRCULAR CYLINDER USING NO SLIP BOUNDARY TREATMENT)

  • 강정호;김형민
    • 한국전산유체공학회지
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    • 제11권3호
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    • pp.28-36
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    • 2006
  • NSBT(No Slip Boundary Treatment) is a newly developed scheme for the treatment of a no slip condition on the solid wall of obstacle in a flow field. In our research, NSBT was used to perform LBM simulation of a flow over a circular cylinder to determine the flow feature and aerodynamics characteristic of the cylinder. To ascertain the applicability of NSBT on the complex shape of the obstacle, it was first simulated for the case of the flow over a circular and square cylinder in a channel and the results were compared against the solution of Navier-Stokes equation. The simulations were performed in a moderate range of Reynolds number at each cylinder position to identify the flow feature and aerodynamic characteristics of circular cylinder in a channel. The drag coefficients of the cylinder were calculated from the simulation results. We have numerically confirmed that the critical reynolds number for vortex shedding is in the range of 200$\sim$250. For the gap parameter $\gamma$ = 2 cases at Re > 240, the vortex shedding were symmetric and it resembled the Karmann vortex. As the cylinder approached to one wall, the vorticity significantly reduced in length while the vorticity on the other side elongated and the vorticity combined with the wall boundary-layer vorticity. The resultant $C_d$ by LBM concurred with the results of DNS simulation performed by previous researchers.

원주주위를 지나는 흐름에 관한 수치해석 (Numerical Solutions for the Flow past a Cylinder)

  • 조용식;윤태훈
    • 물과 미래
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    • 제21권3호
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    • pp.291-291
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    • 1988
  • 2차원 흐름이 원주주위를 지날 때 발생하는 흐름의 변화가 기본방정식인 연속방정식과 운동량방정식에 의하여 수치적으로 해석된다. 수치해석 과정은 기본방정식에 유함수, 와도 및 흐름의 특성을 나타내는 무차원 매개변수를 도입하여 무차원 유함수-와소수송식을 유도한 후, successive over relaxation scheme과 alternating direct implicit scheme으로 수행된다. 수치실험은 레이놀즈수 125-275를 기존의 수치해석에서는 주로 수치실험 결과와 비교한다. 원주표면의 압력을 구하는 방법에 있어서 기존의 수치해석에서는 주로 방사 운동량방정식만을 사용하였으나, 본 논문에서는 기존의 방법외에 방사 운동량방정식 및 접선 운동량방정식에 의해 압력을 계한하고, 두 값을 비교하여 레이놀즈수에 따른 압력을 구하는 방법을 제시한다. 또한 와도의 분포를 도시하여 원주에 의한 후류의 영향을 받지 않는 외부경계의 한계를 새로이 설정한다.

수치모의를 이용한 전단면 식생 수로에서의 와도 생성 분석 (Numerical Investigations of Vorticity Generation in Fully Vegetated Open-Channel Flows)

  • 강형식
    • 대한토목학회논문집
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    • 제30권2B호
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    • pp.179-189
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    • 2010
  • 본 연구에서는 수치모의를 통하여 전단면 식생 수로에서 와도의 생성을 분석하였다. 지배방정식에서 난류 폐합을 위해 레이놀즈응력모형을 이용하였다. 거친 하상-매끄러운 측벽 및 매끄러운 하상-거친 측벽을 갖는 개수로 흐름을 수치모의하여 서로 다른 형태의 이차흐름 구조가 형성되는 것을 확인하였다. 즉, 거친 하상 조건에서는 자유수면 이차흐름의 규모가 감소되고, 거친 측벽 조건에서는 자유수면 이차흐름의 구조가 더 커지는 것으로 나타났다. 또한 전단면 식생 수로를 수치모의하여 수심 크기의 바닥 이차흐름이 형성되고, 식생 밀도가 증가함에 따라 자유수면 이차흐름이 점차 사라지는 것을 확인하였다. 또한 이차흐름 생성에 중요한 역할을 하는 난류의 비등방성 및 레이놀즈응력 분포를 식생밀도에 따라 살펴보았다. 한편, 와도 방정식을 분석한 결과, 비식생 수로의 경우 벽 및 수면 경계 근처에서는 난류 비등방성에 의한 생성항이, 경계와 떨어진 곳에서는 레이놀즈응력에 의한 생성항이 와도 생성에 중요한 역할을 하는 것으로 나타났다. 그러나 식생 수로에서는 이러한 특성이 사라지는 것으로 확인되었다. 또한 비식생 수로에서는 바닥과 수면에서의 와도 생성이 강하게 발생되지만, 식생 수로에서는 바닥과 식생 높이에서 와도 생성이 크게 발생되는 것으로 나타났다.

4층 준지균 수치모형에 관한 연구 (A Study on the 4-level quasi-geostropic numerical model)

  • 이우진;이천우
    • 물과 미래
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    • 제17권3호
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    • pp.211-219
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    • 1984
  • A 4-level baroclinic numerical model is designed by using the vorticity equation and Omega equation. Block-Cyclic-Reduction method is applied to the solution of the Helmholtz defferential equation, which is proved to be better than the Relaxation method from the composite viewpoint of accuracy, stability and economy. It was investigated whether the model explains the physical process influenced by voricity and temperature advection. It was also examined if the model atmosphere describes the general circulation. This examination is similar to Phillips(1956). The result of this numerical experiment shows that the model explains qualitatively the Quasi-Geostrophic theory for the development of Baroclinic wave, as throughly described in Holton(1972).

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원판형 심장판 주위의 혈액 흐름에 대한 수직 해석 (A Numerical Study on the Blood Flow through a Disc Type Heart Valve)

  • 박영필;이신재
    • 대한의용생체공학회:의공학회지
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    • 제2권2호
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    • pp.89-102
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    • 1981
  • The recirculating flows which occur in the prosthetic heart valve have been known to cause several diseases in the human body. And the recent studies show that the shear stress at the wall of the artery is also very important factor in the formation of thrombus. And many studies knave been devoted in obtaining more information about the blood flow through the prosthetic heart valve. In this Paper, the steady axisymmetric flow through the Disc-Type Heart Valve is studied by using the numerical method. The geometry of the Disc-Type Heart Valve is simplified, and the flow is assumed to be steady axisymmetric flow. The vorticity transport equation derived from the Wavier-Stoke's equation is used as the governing equation, and the explicit finite difference method is used to obtain the steady state solution. The results for several Reynolds numbers show that the recirculating flow becomes large as the Remolds number increases. Furthermore, it can be shown that the magnitudes of the vorticity and the stresses are also increased with the Reynolds number, but there is only a little change in their configurations of distribution and in their positions of maximum values.

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고위도 열권 바람에서 소용돌이를 일으키는 강제항들에 대한 분석 (Analysis of Forcing Terms Determining the Thermospheric Wind Vortices at High Latitudes)

  • 곽영실;안병호;김관혁
    • Journal of Astronomy and Space Sciences
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    • 제25권4호
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    • pp.415-424
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    • 2008
  • 곽영실 등(2008)의 연구로부터 고위도 하부 열권의 평균 수평바람 형태는 발산적인 흐름보다는 회전적인 흐름에 더 강하게 지배된다는 것이 확인되었다. 이 연구에서는, 곽영실 등(2008)의 연구의 연장으로, 회전적인 흐름의 척도인 소용돌이도(vorticity)를 유지시켜주는 강제(forcing)항들을 정량화하고 서로 비교 분석함으로써, 고위도 하부 열권에서의 전체 수평 바람장의 강한 회전 흐름을 유발시키는 주된 물리적인 과정을 규명하였다. 이 연구를 위하여 미 국립대기연구소(NCAR)의 열권-이온권 전기역학적 대순환 모델(Thermosphere-ionosphere Electrodynamic General Circulation Model, TIEGCM)을 이용하였다. 고위도 하부 열권의 소용돌이의 변화를 결정하고 유지시켜 주는 주된 강제항은 이온항력(ion drag)항과 수평 이류(horizontal advection)항으로 확인되었다. 늘림(stretching)항 또한 뚜렷한 기여를 하는 것으로 확인되었다. 소용돌이도 강제에 대한 IMF의 영향이 고도 105-110km부근까지 뚜렷하게 나타남이 확인되었다.