• 제목/요약/키워드: vorticity equation

검색결과 75건 처리시간 0.019초

Contributions of Heating and Forcing to the High-Latitude Lower Thermosphere: Dependence on the Interplanetary Magnetic Field

  • Kwak, Young-Sil;Richmond, Arthur;Ahn, Byung-Ho;Cho, Kyung-Suk
    • Journal of Astronomy and Space Sciences
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    • 제27권3호
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    • pp.205-212
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    • 2010
  • To better understand the physical processes that maintain the high-latitude lower thermospheric dynamics, we have identified relative contributions of the momentum forcing and the heating to the high-latitude lower thermospheric winds depending on the interplanetary magnetic field (IMF) and altitude. For this study, we performed a term analysis of the potential vorticity equation for the high-latitude neutral wind field in the lower thermosphere during the southern summertime for different IMF conditions, with the aid of the National Center for Atmospheric Research Thermosphere-Ionosphere Electrodynamics General Circulation Model (NCAR-TIEGCM). Difference potential vorticity forcing and heating terms, obtained by subtracting values with zero IMF from those with non-zero IMF, are influenced by the IMF conditions. The difference forcing is more significant for strong IMF $B_y$ condition than for strong IMF $B_z$ condition. For negative or positive $B_y$ conditions, the difference forcings in the polar cap are larger by a factor of about 2 than those in the auroral region. The difference heating is the most significant for negative IMF $B_z$ condition, and the difference heatings in the auroral region are larger by a factor of about 1.5 than those in the polar cap region. The magnitudes of the difference forcing and heating decrease rapidly with descending altitudes. It is confirmed that the contribution of the forcing to the high-latitude lower thermospheric dynamics is stronger than the contribution of the heating to it. Especially, it is obvious that the contribution of the forcing to the dynamics is much larger in the polar cap region than in the auroral region and at higher altitude than at lower altitude. It is evident that when $B_z$ is negative condition the contribution of the forcing is the lowest and the contribution of the heating is the highest among the different IMF conditions.

객관적 해석을 통한 속도 유선함수(streamfunction) 산출 1: 헬름홀쯔(Helmholtz) 정리의 응용 (Objective Estimation of Velocity Streamfunction Field with Discretely Sampled Oceanic Data 1: with Application of Helmholtz Theorem)

  • 조황우
    • 한국환경과학회지
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    • 제6권4호
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    • pp.323-333
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    • 1997
  • 본 연구는 해양에서 비규칙적으로 관측된 유속자료를 이용 속도유선함수를 객관적해석을 통하여 산출하였다. 이를 위하여 헬름흘쯔(Helmholtz)정리를 응용 2차원 유속장의 비발산 부분만 나타내는 유선함수와 와도와의 관계를 규정하는 포이송(Poisson)방정식을 도출하고, 혼합경계조건과 관측치로부터 산출된 와도장을 이용 유선함수를 구하였다. 위의 방법을 실현하기 위하여 텍사스-루이지아나 대륙붕 순환 및 수송 연구(LATEX측 일환으로 텍사스-루이지아나 대륙붕의 31개 정점에서 32개월(1992년 4월 SIM 1994년 11월)간 관측된 해류계자료를 이용하였다. 본 방법으로 산출된 텍사스-루이지아나 대륙붕의 속도유선함수는 관측치와 잘 일치하였다. 본 연구에서 산출된 유선함수는 특정 해역의 저주파 운동의 이해뿐만 아니라 기름유출, 영양염 및 플랑크톤 수송과 관련한 환경유동모델의 초기화 및 검증에 응용될 것으로 기대된다.

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수평 환형 공간에서의 혼돈 열대류로의 분기 (Bifurcation to Chaotic Thermal Convection in a Horizontal Annulus)

  • 유주식;김용진
    • 대한기계학회논문집B
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    • 제24권9호
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    • pp.1210-1218
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    • 2000
  • Thermal convection in a horizontal annulus is considered, and the bifurcation phenomena of flows from time-periodic to chaotic convection are numerically investigated. The unsteady two-dimensional streamfunction-vorticity equation is solved with finite difference method. As Rayleigh number is increased, the steady flow bifurcates to a time-periodic flow with a fundamental frequency, and afterwards a period-tripling bifurcation occurs with further increase of the Rayleigh number. Chaotic convection is established after a period-doubling bifurcation. A periodic convection with period 4 appears after the first chaotic convection. At still higher Rayleigh numbers, chaotic flows reappear.

문풀을 가지는 2차원 부유체의 강제 상하동요에 대한 CFD 해석 (CFD Analysis of Two-Dimensional Floating Body with Moon Pool under Forced Heave Motion)

  • 허재경;박종천
    • 한국해양공학회지
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    • 제25권2호
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    • pp.36-46
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    • 2011
  • A two-dimensional floating body with a moon pool under forced heave motion, including a piston mode, is numerically simulated. A dynamic CFD simulation is carried out to thoroughly investigate the flow field around a two-dimensional moon pool over various heaving frequencies. The numerical results are compared with experimental results and a linear potential program by Faltinsen et al. (2007). The effects of vortex shedding and viscosity are investigated by changing the corner shapes of the floating body and solving the Euler equation, respectively. The flow fields, including the velocity, vorticity, and pressure fields, are discussed to understand and determine the mechanisms of wave elevation, damping, and sway force.

Hybrid RANS/LES 방법을 이용한 이음속 공동 유동의 수치적 모사 (Hybrid RANS/LES Simulation of Subsonic Cavity Flow)

  • 장경식;박승오;최석기
    • 한국전산유체공학회지
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    • 제9권2호
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    • pp.23-29
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    • 2004
  • A numerical simulation of an incompressible cavity flow is conducted using the hybrid turbulence model. The model adopted is a modified type of DES using k- ε two-equation model. Cavity geometry and flow condition are based on Cattafesta's experiment. Computational results are compared with the results of Cattafesta's experiment. The simulation successfully predicts the oscillatory features and the Strouhal number of the oscillation compares very favorably with that of the dominant mode of experimental data. Vorticity contours obtained from the simulation data are consistent with the smoke visualization of the Cattafesta's experiment. The coherent structures of cavity flow are also investigated using Q criterion.

넓은 수평 환형 공간에서의 진동하는 자연 대류로의 천이 : Pr=0.1 (Transition to Oscillatory Natural Convection in a Wide-gap Horizontal Cylindrical Annulus: Pr=0.1)

  • 유주식;김용진;엄용균
    • 한국전산유체공학회지
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    • 제5권3호
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    • pp.40-46
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    • 2000
  • Natural convection in a wide-gap horizontal annulus is considered, and the transition of flows from steady to oscillatory convection is investigated for the fluid with Pr=0.1. The unsteady streamfunction-vorticity equation is solved with finite difference method. As Rayleigh number is increased, the steady crescent-shaped flow bifurcates to a time-periodic flow with like-rotating eddies. And afterwards, a transition to an oscillatory multicellular flow with a counter-rotating eddy on the top of the annulus occurs. A transition from steady to an oscillatory flow occurs, but dual solutions and hysteresis phenomena are not observed.

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Weis-Fogh형 선박추진기구의 유체역학적 특성계산 (CALCULATION OF HYDRODYNAMIC CHARACTERISTICS FOR SHIP'S PROPULSION MECHANISM OF WEIS-FOGH TYPE)

  • 노기덕;강명훈
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.305-310
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    • 2005
  • 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 low 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.

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수직자장하에서 원관내 자성유체의 거동에 관한 연구 (A Study on the Flow Behavior of Magnetic Fluids in a Circular Pipe with a Vertical Magnetic Field)

  • 박정우;유신오;서이수
    • 대한기계학회논문집B
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    • 제23권1호
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    • pp.25-32
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    • 1999
  • In the present paper, we theoretically analyze the flow of magnetic fluids in a circular pipe with a vertical magnetic field and investigate the magnetic response by the external magnetic field. Theoretical study through the governing equation derived by Siliomis is carried out with numerical analysis by the Gauss Elimination Method. Using polar and magnetic effect parameters, theoretical equations and distributions for the velocity, vorticity, internal angular momentum and induced magnetization as the magnetic response are shown. Especially, in the region of strong magnetic field the specific property is appeared by finding a critical magnetic effect parameter for a polar effect parameter.

하나의 실린더가 회전하는 수평 환형 공간에서의 혼합 대류 (Mixed Convection in a Horizontal Annulus with a Rotating Cylinder)

  • 유주식;하대홍
    • 한국전산유체공학회지
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    • 제6권3호
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    • pp.1-9
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    • 2001
  • Mixed convection in a horizontal annulus is considered, and the effect of a forced flow on the natural convective flow is investigated. The inner cylinder is hotter than the outer cylinder, and the outer cylinder is rotating with constant angular velocity with its axis at the center of the annulus. The unsteady streamfunction-vorticity equation is solved with a finite difference method. For the fluid with Pr=0.7, there appear flows with two eddies, one eddy, or no eddy according the Rayleigh and Reynolds numbers. The rotation of the outer cylinder reduces the heat transfer rate at the wall of the annulus. The oscillatory multicellular flow of a low Prandtl number fluid with Pr=0.01 can be effectively suppressed by the forced flow.

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수평 원주형 환형 내에서의 자연 대류 유동의 천이: Pr=0.2 (Transition of Natural Convective Flows in a Horizontal Cylindrical Annulus: Pr=0.2)

  • 유주식;하대홍
    • 대한기계학회논문집B
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    • 제25권6호
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    • pp.804-810
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    • 2001
  • Transition of flows in natural convection in a horizontal cylindrical annulus is investigated for the fluid with Pr=0.2. The unsteady streamfunction-vorticity equation is solved with finite difference method. As Rayleigh number is increased, the steady crescent-shaped eddy flow bifurcates to a time-periodic flow with like-rotating eddies. After the first Hopf bifurcation, however, a reverse transition from oscillatory to a steady flow occurs by the flow pattern variation. Hysteresis phenomenon occurs between the solution branches of up-scan and down-scan stages, and dual solutions with one steady and one oscillatory flow are found. Overall Nusselt of the flows at the flows at the down-scan stage is greater than that at the up-scan stage.