• 제목/요약/키워드: Transition of Flows

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Applications of Stokes Eigenfunctions to the Numerical Solutions of the Navier-Stokes Equations in Channels and Pipes

  • Rummler B.
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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    • pp.63-65
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    • 2003
  • General classes of boundary-pressure-driven flows of incompressible Newtonian fluids in three­dimensional (3D) channels and in 3D pipes with known steady laminar realizations are investigated respectively. The characteristic physical and geometrical quantities of the flows are subsumed in the kinetic Reynolds number Re and a parameter $\psi$, which involves the energetic ratio and the directions of the boundary-driven part and the pressure-driven part of the laminar flow. The solution of non-stationary dimension-free Navier-Stokes equations is sought in the form $\underline{u}=u_{L}+U,\;where\;u_{L}$ is the scaled laminar velocity and periodical conditions are prescribed for U in the unbounded directions. The objects of our numerical investigations are autonomous systems (S) of ordinary differential equations for the time-dependent coefficients of the spatial Stokes eigenfunction, where these systems (S) were received by application of the Galerkin-method to the dimension-free Navier-Stokes equations for u.

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WELL-BALANCED ROE-TYPE NUMERICAL SCHEME FOR A MODEL OF TWO-PHASE COMPRESSIBLE FLOWS

  • Thanh, Mai Duc
    • 대한수학회지
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    • 제51권1호
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    • pp.163-187
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    • 2014
  • We present a multi-stage Roe-type numerical scheme for a model of two-phase flows arisen from the modeling of deflagration-to-detonation transition in granular materials. The first stage in the construction of the scheme computes the volume fraction at every time step. The second stage deals with the nonconservative terms in the governing equations which produces states on both side of the contact wave at each node. In the third stage, a Roe matrix for the two-phase is used to apply on the states obtained from the second stage. This scheme is shown to capture stationary waves and preserves the positivity of the volume fractions. Finally, we present numerical tests which all indicate that the proposed scheme can give very good approximations to the exact solution.

래티스볼츠만 다상류 모델의 검토 및 응용 (An Investigation of Lattice Boltzmann Multi-phase Model and it Application)

  • 강호근;안수환
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2006년도 전기학술대회논문집
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    • pp.269-270
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    • 2006
  • A finite difference lattice Boltzmann model which allows us to simulate gas-liquid two-phase flows with large density difference, for instance, 800 times for air and water is considered. Two-particle model is used and the density difference is introduced by changing the acceleration according to the fluid density. Numerical measurement of surface tension agrees well with theoretical predictions. Simulations of two-phase phenomenon for phase-transition is carried out, showing applicability of the model for two-phase flows. The two-dimensional cavitating flow around a board set up in the fluid way is also simulated. As a result, it was confirmed that the FDLB method with two-particle model was effective in numerical simulation of cavitating flow and the bubble periodically grew up at the low pressure area behind the board, in which the fluid condition was influenced by the cavitation number.

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주기적인 온도를 갖는 두 수평 평판 사이에서 자연 대류에 대한 다중해 (Multiple Solutions for Natural Convection Between Two Horizontal Plates with Periodic Temperatures)

  • 유주식;김용진
    • 대한기계학회논문집B
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    • 제28권11호
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    • pp.1440-1448
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    • 2004
  • Multiple solutions in natural convection of air (Pr=0.7) between two horizontal walls with mean temperature difference and the same periodic nob-uniformities are investigated. An analytical solution is found for small Rayleigh number, and the general solution is investigated by using a numerical method. In the conduction-dominated regime, two upright cells are formed between two walls over one wave length. When the wave number is small, the flow becomes unstable with increase of the Rayleigh number, and multicellular convection occurs above a critical Rayleigh number. The multicellular flows at high Rayleigh numbers consist of approximately square-shape cells. And several kinds of multiple flows classified by the number of cells are found.

B-ISDN프로토콜 내장의 멀티미디어통신용 IP-PBX 시스템의 개발방법 및 설계 (Development Method and Design of B-ISDN Protocol embedded IP-PBX System for Multimedia Communication)

  • 최재원
    • 한국정보통신학회논문지
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    • 제10권9호
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    • pp.1700-1709
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    • 2006
  • 본 논문에서는 인터넷으로 연결된 컴퓨터를 이용하여 전화교환 및 통신이 가능하도록 하는 B-ISDN 기반의 IP-PBX 시스템의 구현을 위한 개발방법 및 설계에 관해 연구하였다. IP-PBX 시스템의 단말과 서버의 구조를 설계하고 호제어를 위한 메세지와 자료구조의 정의와 상태천이를 설계하였고, 사용자간 통화를 위한 착발신 단말 간의 호제어와 부가서비스의 메세지 흐름을 설계하고 복수 호 제어방법을 연구하였다.

수평 환형 공간에서의 진동하는 열대류 (OSCILLATORY THERMAL CONVECTION IN A HORIZONTAL ANNULUS)

  • 유주식
    • 한국전산유체공학회지
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    • 제11권2호
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    • pp.49-55
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    • 2006
  • This study investigates the oscillatory thermal convection of a fluid with Pr=0.02 in a wide-gap horizontal annulus with constant heat flux inner wall. When Pr=0.02, dual steady-state flows are not found. After the first Hopf bifurcation from a steady to a time-periodic flow, five successive period-doubling bifurcations are recorded before chaos. The power spectrum shows the $period-2^4\;and\;2^5$ flows clearly, and a window of period $3{\times}2^3$ flow is found in the chaotic regime. The approximate value of the Feigenbaum number for the last three period-doubling bifurcations is 4.76. The transition route to chaos of the present simulations is consistent with the period-doubling route of Feigenbaum.

일정 열유속 실린더를 갖는 수평 환형 공간에서의 공기의 이중 자연대류 유동 (Dual Natural-Convective Flows of Air in a Horizontal Annulus with a Constant Heat Flux Cylinder)

  • 유주식
    • 한국전산유체공학회지
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    • 제4권2호
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    • pp.1-8
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    • 1999
  • Natural convection in a horizontal annulus with the inner cylinder heated by the application of a constant heat flux and the isothermally cooled outer cylinder is considered, and the transition of flows and the bifurcation phenomenon are numerically investigated for air with Pr=0.7. The zero initial condition always induces a crescent-sheped eddy flow. A bicellular flow in which the fluid descends along the vertical central plane of the annulus can be obtained at high Rayleigh number by introducing artificial numerical disturbances. Dual solutions are found above a certain critical Rayleigh number. Hysteresis phenomena have not been observed.

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Compressible Parabolized Stability Equation in Curvilinear Coordinate System and integration

  • Gao, Bing;Park, S.O.
    • International Journal of Aeronautical and Space Sciences
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    • 제7권2호
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    • pp.155-174
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    • 2006
  • Parabolized stability equations for compressible flows in general curvilinear coordinate system are derived to deal with a broad range of transition prediction problems on complex geometry. A highly accurate finite difference PSE code has been developed using an implicit marching procedure. Compressible and incompressible flat plate flow stability under two-dimensional and three¬dimensional disturbances has been investigated to test the present code. Results of the present computation are found to be in good agreement with the multiple scale analysis and DNS data. Stability calculation results by the present PSE code for compressible boundary layer at Mach numbers ranging from 0.02 to 1.5 are also presented and are again seen to be as accurate as the spectral method.

Undular Bore의 발생과정에 관한 수치 해석 (Numerical Analysis on the Development of an Undularbore)

  • 배헌민;김인철
    • 수산해양기술연구
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    • 제22권2호
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    • pp.31-35
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    • 1986
  • A bore is a transition between different uniform flows of water. If a long wave of elevation travels in shallow water it steepens and forms a bore. The bore is undular if the change in surface elevation of the wave is less than 0.28 of the original depth of water. This paper describes the growth of an undular bore from a long wave which forms a gentle transition between a uniform flow and still water. A physical account of its development is followed by the results of numerical calculations. Finite-difference approximations are used in the partial differential equations of motion. For undular bores, numerical calculations show that (i) the relationship between relative elevation and relative velocity given by long wave theory is approached for an undular bore, (ii) the amplitude of first crest of an undular bore approaches a finite limit approximately at an exponential rate, and (iii) the distance between the first two crests increases without bound, approximately logarithmically.

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현대주택의 공간구성에 있어서 전통성 구현에 관한 연구 (A Study on embodiment of Korean tradition of spatial comosition of contemporary residence)

  • 허진석;정용환
    • 한국주거학회논문집
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    • 제12권3호
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    • pp.21-28
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    • 2001
  • The purpose of this study is to find Korean tradition of residential space which continues since 1960s. Analysis of house works of contemporary architects on the foundation spatial characteristics of Korean. Traditional residence show that the trend and methods of embodiment of tradition in present architecture. The result of analysis could be summarized as follows. First, most of contemporary architects separate a house into two Chae-An Chae and Sa Rang Chae. Second, spatial flows in contemporary house works are very active through transition spaces just as traditional residence. Third, positive An Ma Dang takes on introversion, extroversion and continuity of space and also plays an important role in a house.

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