• Title/Summary/Keyword: Finite difference approximation

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Numerical Investigation of Cross- Flow of a Circular Cylinder Under an Electromagnetic Force (전자기력을 이용한 유동제어에 관한 수치해석적 연구)

  • Kim, Seong-Jae;Lee, Choung-Mook
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.148-153
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    • 2001
  • A computational investigation of the effect of the electromagnetic force(or Lorentz force) on the flow behavior around a circular cylinder, a typical model of bluff bodies, is conducted. Two-dimensional unsteady flow computation for $Re=10^2$ is carried out using a numerical method of finite difference approximation in a curvilinear body-fitted coordinate system by solving the momentum equations including the Lorentz force as a body force. The effect of the spatial variations of the Lorentz forcing region and forcing direction along the cylinder circumference is investigated. The numerical results show that the Lorentz force can effectively suppress the flow separation and oscillation of the lift force of the circular cylinder cross-flow, leading to the reduction of the drag.

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Optimal Control by the Gradient Method (경사법에의한 최적제어)

  • 양흥석;황희융
    • 전기의세계
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    • v.21 no.3
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    • pp.48-52
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    • 1972
  • The application of pontryagin's Maximum Principle to the optimal control eventually leads to the problem of solving the two point boundary value problem. Most of problems have been related to their own special factors, therfore it is very hard to recommend the best method of deriving their optimal solution among various methods, such as iterative Runge Kutta, analog computer, gradient method, finite difference and successive approximation by piece-wise linearization. The gradient method has been applied to the optimal control of two point boundary value problem in the power systems. The most important thing is to set up some objective function of which the initial value is the function of terminal point. The next procedure is to find out any global minimum value from the objective function which is approaching the zero by means of gradient projection. The algorithm required for this approach in the relevant differential equations by use of the Runge Kutta Method for the computation has been established. The usefulness of this approach is also verified by solving some examples in the paper.

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CALCULATION METHODS OF SOLAR ATMOSPHERIC MODEL (태양대기모델 계산법)

  • KIM KAP-SUNG
    • Publications of The Korean Astronomical Society
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    • v.15 no.spc2
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    • pp.65-71
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    • 2000
  • We have investigated the numerical methods to calculate model atmosphere for the analysis of spectral lines emitted from the sun and stars. Basic equations used in our calculations are radiative transfer, statistical equilibrium and charge-particle conservations. Transfer equation has been solved to get emitting spectral line profile as an initial value problem using Adams-Bashforth-Moulton method with accuracy as high as 12th order. And we have calculated above non linear differential equations simultaneously as a boundary value problem by finite difference method of 3 points approximation through Feautrier elimination scheme. It is found that all computing programs coded by above numerical methods work successfully for our model atmosphere.

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Numerical Analysis of Low-Speed Flows in Micro-Channels (마이크로채널 내부의 저속 유동장 수치해석)

  • Chung C. H.
    • Journal of computational fluids engineering
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    • v.9 no.2
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    • pp.36-42
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    • 2004
  • Low-speed gas flows in micro-channels are investigated using a kinetic theory analysis. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. Calculations are made for flows in simple micro-channels and a micro-fluidic system consisting of two micro-channels in series. The results are compared well with those from the DSMC method and an analytical solutions to the Wavier-Stokes equations. It is shown that the present method is a useful tool for the modeling of low-speed flows in micro-channels.

Analysis of Microchannel Flows Using a Model Boltzmann Equation (모델 볼츠만방정식을 이용한 마이크로채널 유동 해석)

  • Chung C. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.99-105
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in microchannels. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. The method does not suffer from statistical noise which is common in particle based methods and requires much less amount of computational effort. Calculations are made for flows in simple microchannels and a microfluidic system consisting of two microchannels in series. The method is assessed by comparing the results with those from several different methods and available experimental data.

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The Coupling of Conduction with Free Convection Flow Along a Vertical Flat Plate in Presence of Heat Generation

  • Taher, M.A.;Lee, Yeon-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.7
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    • pp.833-841
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    • 2007
  • The aim of this paper is to analyze the conjugate problems of heat conduction in solid walls coupled with laminar free convection flow adjacent to a vertical flat plate under boundary layer approximation. Using the similarity transformations the governing boundary layer equations for momentum and energy are reduced to a system of partial differential equations and then solved numerically using Finite Difference Method(FDM) known as the Keller-box scheme. Computed solutions to the governing equations are obtained for a wide range of non-dimensional parameters that are present in this problem, namely the coupling parameter P. the Prandtl number Pr and the heat generation parameter Q. The variations of the local heat transfer rate as well as the interface temperature and the friction along the plate and typical velocity and temperature profiles in the boundary layer are shown graphically. Numerical solutions have been consider for the Prandtl number Pr=0.70

A Novel Contour Path finite Difference Time Domain (CPFDTD) Algorithm for Modeling Objects with Curved Surfaces (곡면을 가진 물체의 모델링을 위한 새로운 CPFDTD 앨거리즘)

  • 이민수;박영태
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.5
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    • pp.931-936
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    • 2000
  • A novel CPFDTD algorithm for modeling the smooth curved surfaces is presented. This scheme subdivides electric fields on the distorted grid into the extended contour field, the non-distorted field, and the quasi-available field to avoid the collinear borrowing approximation. Several preceding methods are applied to the I-plane sectoral horn antenna to get far-field patterns. The accuracy of the presented method is demonstrated by comparison with measured values.

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Transient Response of Head Slider with the Head Geometry Change in Magnetic Storage Devices

  • Mongkolwongrojn, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.906-909
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    • 2005
  • In this study, the dynamic flying characteristics of the worn head sliders are investigated theoretically due to the change in head geometry caused by head and disk contact. The film shapes can be approximated as taper- truncated cycloidal-flat film. Two-dimensional time dependent modified Reynolds equation included molecular slip effect are formulated with neglected the roughness effect. The motion of head slider was assumed to have two degree of freedom in this work. Finite difference approximation with Newton Raphson iterative technique and the fourth order Runge-Kutta method were implemented to obtain the transient response of the slider head with various change in head geometry numerically and compared with the transient response of the IBM3380 type head slider. The simulation results show the film shape has affects significantly on the static and dynamic characteristic of slider head in magnetic storage systems.

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Numerical Analysis of 3-Dimensional Unsteady Flow Around the High Speed Train (고속으로 주행하는 열차 주위의 3차원 비정상 유동장 해석)

  • Ha, Seong-Do
    • 연구논문집
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    • s.27
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    • pp.15-34
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    • 1997
  • The 3-dimensional unsteady compressible flows around the high speed train have been simulated for the train entering a tunnel and for passing another train. The simulation method employs the implicit approximation-factorization finite difference algorithm for the inviscid Euler equations in general curvilinear coordinates. A moving grid scheme is applied in order to resolve the train movement relative to the tunnel and the other train. The velo-city and pressure fields and pressure drag are calculated to study the effects of tunnel and the other train. The side directional force which is time dependent is also computed for the passing train. Pressure distribution shows that the compression wave is generated in front of the train noise just after the tunnel entrance and proceeds along the inside of tunnel.

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Study on the Thermal Analysis of Extra-High Voltage OF Cable Accessories using Finite Element Method (유한요소법에 의한 초고압 OF 케이블 접속재의 주도해석에 관한 연구)

  • Lee, Jong-Bum;Kang, Dong-Sik;Kang, Do-Hyun;Lee, Soo-Hyun
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.211-215
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    • 1989
  • This paper presents the thermal analysis of EHV OF cable accessories using FEM. The governing equation about the temperature in the cable accessories is induced by the energy balance equation. Since the temperature distribution is a function of space and time, the weighted residual method is adopted for FEM formulation. The difference approximation is used to treat the time differential term in the element equation. Automatic mesh generation which save time and labor is introduced for the data input process. It will be expected that the following thermal analysis result will be very useful to cable accessories design.

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