• Title/Summary/Keyword: SMAC Scheme

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Incompressible Laminar Entry Flows in a Square Duct of Strong Curvature Using an Implicit SMAC Scheme (SMAC 음해법에 의한 큰 곡률를 갖는 정사각형 덕트내의 비압축성 층류 입구유동)

  • Shin B. R.;Ikohagi T.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.35-46
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    • 1996
  • 원심형 임펠러 내부 유로등 큰 곡률을 수반하는 터보기계 요소의 유동해석을 위한 계산코드를 개발하였다. 이 코드에서는 곡선좌표계에 유도된 3차원 비압축성 Navier-Stokes의 운동 방정식을 SMAC 음해법으로 푼다. 이 코드를 이용하여 유로의 단면이 정사각형이고 90도로 굽은 덕트내부의 층류 입구유동을 해석하고, 굽은 관 특유의 유동현상을 수치모사하였다 또한 곡관부 입구에서 충분히 발달한 유동, 또는 발달중인 유동이 유입될 경우에 이것이 곡관부 내부의 유동에 미치는 영향을 상·하류의 계산영역이 서로 다를 몇몇 유동장에 대하여 조사하고, 본 계산에서 얻어진 결과와 실형결과와의 비교로 본 3차원 유동해석 코드의 유효성을 검토 하였다.

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NUMERICAL ANALYSIS FOR 2-D FREE JET FLOW BY SMAC SCHEME (SMAC법에 의한 2차원 자유분류의 수치해석)

  • Jung, S.H.;An, Y.J.;Shin, B.R.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.298-302
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    • 2009
  • Numerical analysis of two dimensional incompressible laminar free jet flow was carried out by using finite difference SMAC scheme. Flow characteristics of free jet flow such as jet width, similarity of jet velocity and hypothetical origin were investigated for different Reynolds numbers of Re=30 and 100. The reliability of predictions were confirmed by comparison with exact solution. Non-dimensional velocity distribution showed similarity of jet flow velocity after initial region. In the region of laminar flow, the location of hypothetical origin becomes more distant with Reynolds number.

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MQUICK Upwind Scheme for the Incompressible Navier-Stokes Equations (비압축성 Navier-Stokes 방정식의 해석을 위한 MQUICK 상류해법)

  • Shin B. R.;Ikohagi T.
    • Journal of computational fluids engineering
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    • v.4 no.1
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    • pp.41-52
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    • 1999
  • 이 논문에서는, QUICK해법의 불안정성을 개량하므로써, 수치계산에 있어서 수렴이 빠르고, 수치적으로 안정한 계산을 할 수 있는 새로운 MQUICK 상류해법을 제안하고, 이를 비압축성 층류유동의 계산에 적용하였다. 또한, 해법의 정확성, 안정성, 수렴속도에 대한 검토를 통하여 본 MQUICK 상류해법의 유효성과 타당성이 평가되었다. 이 해법에서는 인공산일의 가감을 조절하기 위하여 가중계수 α를 써서 정식화 하였고, 위의 검토를 통하여 α의 최적값을 조사하였다. 이 해법을 SMAC 음해법에 적용하여 2 차원 공동유동, 3 차원 덕트유동과 같은 몇몇 표준문제를 계산하고, 계산된 결과를 실험값 또는, 3 차 정확도의 상류해법 및 QUICK해법에 의한 결과 들과 비교 하므로써, 본 MQUICK 상류해법이 위의 다른 해법에 비하여 안정하고, 유효성이 높은 해법임을 확인 하였다.

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An Imprevement of the Approximate-Factorization Scheme and Its Application to the Analysis of Incompressible Viscous Flows (근사인자화법의 개량과 비압축성 유동해석에의 응용)

  • 신병록
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1950-1963
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    • 1995
  • A modification of the approximate-factorization method is made to accelerate the convergency rate and to take sufficiently large Courant number without loss of accuracy. And a stable implicit finite-difference scheme for solving the incompressible Navier-Stokes equations employed above modified method is developed. In the present implicit scheme, the volume fluxes with contravariant velocity components and the pressure formulation in curvilinear coordinates is adopted. In order to satisfy the continuity condition completely and to remove spurious errors for the pressure, the Navier-Stokes equations are solved by a modified SMAC scheme using a staggered gird. The upstream-difference scheme such as the QUICK scheme is also employed to the right hand side. The implicit scheme is unconditionally stable and satisfies a diagonally dominant condition for scalar diagonal linear systems of implicit operator on the left hand side. Numerical results for some test calculations of the two-dimensional flow in a square cavity and over a backward-facing step are obtained using both usual approximate-factorization method and the modified one, and compared with each other. It is shown that the present scheme allows a sufficiently large Courant number of O(10$^{2}$) and reduces the computing time.

Development of an Incompressible Navier-Stokes Solver using SMAC Algorithm on Unstructured Triangular Meshes (비구조형 삼각형 격자에 대한 SMAC기법을 이용한 비압축성 나비어-스톡스 방정식 해법 개발)

  • Nam Hyeun S.;Moon Young J.
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.55-60
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    • 1997
  • An unstructured finite volume method is presented for seeking steady and unsteady flow solutions of the two-dimensional incompressible viscous flows. In the present method, SMAC-type algorithm is implemented on unstructured triangular meshes, using second order upwind scheme for the convective fluxes. Validation tests are made for various steady and unsteady incompressible flows. Convergence characteristics are examined and accuracy comparisons are made with some benchmark solutions.

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A Time Tree Scheduling Scheme for Energy Efficiency and Collision Avoidance in Sensor Networks (센서 네트워크에서 에너지 효율과 충돌 회피를 위한 타임 트리 스케줄링)

  • Lee, Kil-Hung
    • Journal of Korea Multimedia Society
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    • v.12 no.7
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    • pp.962-970
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    • 2009
  • This paper presents a data gathering and scheduling scheme for wireless sensor networks. We use a data gathering tree for sending the data from the sensor node to the base station. For an energy efficient operation of the sensor networks in a distributed manner, a time tree is built in order to reduce the collision probability and to minimize the total energy required to send data to the base station. A time tree is a data gathering tree where the base station is the root and each sensor node is either a relaying or a leaf node of the tree. Each tree operates in a different time schedule with possible different activation rate. Through the simulation, we found that the proposed scheme that uses time trees shows better characteristics in energy and data arrival rate when compared with other schemes such as SMAC and DMAC.

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A THREE-DIMENSIONAL PASSAGE FLOW ANALYSIS METHOD AIMED AT TURBOMACHINERY ELEMENTS (터보기계 요소 유동해석을 지향한 3차원 통로유동 해석법)

  • SHIN Byeong Rog
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.188-193
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    • 1995
  • Incompressible developing entry flows through square ducts with 90 degree bends are studied numerically by using an efficient implicit SMAC scheme with different boundary conditions. This study eventually aimed at passage flow analysis of turbomachinery elements with a strong curvature such as centrifugal impeller or draft tube. The generalized implicit scheme used in the present study has been developted to solve the three-dimensional Navier-Stokes equations by the author. Numerical results for some different numerical conditions are obtained and compared with each other

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Suspended Sediment Concentrations over Ripples for Waves (파랑존재시 해저 모래결위의 부유사 농도분포)

  • Kim, Hyo-Seop;Kim, Tae-Hyeong
    • Journal of Korea Water Resources Association
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    • v.33 no.2
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    • pp.181-193
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    • 2000
  • This paper presents the flow and the suspended sediment movement over ripples for oscillatory flows. A new numerical model system is developed, and applied to a laboratory experimental condition of regular waves and a fictitious condition of irregular waves. The flow field is obtained from a programme proposed by Kim et. al.(1994), which is a modified version of SOLA based on SMAC scheme. The sub-model solves the continuity and Reynolds momentum equations in the x-z plane. The wave orbital velocities, shear stresses, and pressure are all reasonably reproduced by the model. The model results on the vertical velocity component show good agreement with the measurements. The suspended sediment transport sub-model is newly set up to solve the advection-diffusion equation of suspended sediment using a split method, and involving a special shear entrainment from the whole ripple surface. The calculated suspended sediment concentrations for regular waves show reasonable agreement with measurements at Deltaflume. The model results for random waves show that the suspended sediment concentration is higher than those for regular waves and that the sediment diffuses higher than for regular waves with the significant wave height and the peak wave period of the irregular waves.

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