• Title/Summary/Keyword: Finite difference analysis

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Analysis of an Electromagnetic Actuator for Circuit Breakers

  • Shin, Dong-Kyu;Choi, Myung-Jun;Kwon, Jung-Lok;Jung, Hyun-Kyo
    • Journal of Electrical Engineering and Technology
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    • v.2 no.3
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    • pp.346-352
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    • 2007
  • In this paper, we present an analysis of dynamic characteristics of an electromagnetic actuator for circuit breakers. It is indispensable to simultaneously analyze magnetic, electric, and mechanical phenomena to obtain the dynamic characteristics of the electromagnetic actuator because these phenomena are closely related to each other in an electromagnetic actuator system. The magnetic equations are computed by using the finite element method (FEM). The electric equations and the mechanical equations, which include the time derivative terms, are calculated by using the time difference method (TDM). The calculated results, which have been obtained by means of the FEM and the TDM, are presented with experimental data.

Kinetic Theory Analysis for Thin-Film Bearings (기체분자운동론을 이용한 박막 베어링 해석)

  • Chung Chan Hong
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2004.11a
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    • pp.162-170
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    • 2004
  • A kinetic theory analysis is used to study the ultra-thin gas flow field in gas slider hearings. 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 the flow field inside stepped and straight slider bearings. The results are compared well with those from the DSMC method. Special attention has been paid to the effect of the pressure build-up in front of a hearing, which has never been assessed before. It has been shown that the pressure build-up at the inlet is about $4.5\%$ of the operating pressure and the resulting load capacity is about $25\%$ higher for the case considered in the present study.

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Numerical Analysis of Gas Flows in Microchannels in Series (직렬 미소채널 기체유장의 수치해석)

  • Chung Chan Hong
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2004.11a
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    • pp.221-231
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

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Numerical Analysis of Ultra-Thin Gas Film Lubrication (초박막 기체윤활의 수치해석)

  • Chung C. H.
    • Journal of computational fluids engineering
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    • v.9 no.4
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    • pp.64-70
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    • 2004
  • A kinetic theory analysis is used to study the ultra-thin gas flow field in a gas slider bearing. 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 a flow in a micro-channel between an inclined slider and a moving disk drive platter The results are compared well with those from the DSMC method. The present method does not suffer from statistical noise which is common in particle-based methods and requires much less computational effort.

Numerical Study on the Behavior Characteristics of a Screw in Injection Molding Machine (사출기 스크류의 변형거동 특성에 관한 수치해석 연구)

  • 김청균;조승현
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.5
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    • pp.30-37
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    • 2002
  • Single flighted screw injection technology is the most cost effective method for the production of film, sheet, pipe and the fundamental step in other processes including blow molding and injection molding. The temperature of polymer melts and injection pressure play a very important role in the injection molding machine. Thermal distortion and displacement of a screw by temperature difference and injection pressure difference ratio cause a friction and thermoelastic wear by metal-to-metal contact between the screw and the cylinder. In this paper we analyzed thermal distortions of a screw as functions of temperature distribution and pressure profiles by finite element analysis.

Development of a Three-Dimensional Euler Solver for Analysis of Basic Contraction Flow (수축부 기초 유동 해석을 위한 삼차원 Euler 방정식 풀개 개발)

  • Kim J.;Kim H. T.
    • Journal of computational fluids engineering
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    • v.2 no.1
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    • pp.8-12
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    • 1997
  • The three-dimensional Euler equations are solved numerically for the analysis of contraction flows in wind or water tunnels. A second-order finite difference method is used for the spatial discretization on the nonstaggered grid system and the 4-stage Runge-Kutta scheme for the numerical integration in time. In order to speed up the convergence, the local time stepping and the implicit residual-averaging schemes are introduced. The pressure field is obtained by solving the pressure-Poisson equation with the Neumann boundary condition. For the evaluation of the present Euler solver, numerical computations are carried out for three contraction geometries, one of which was adopted in the Large Cavitation Channel for the U.S. Navy. The comparison of the computational results with the available experimental data shows good agreement.

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Numerical Analysis of Ultra-Thin Gas Film Lubrication (초박막 기체윤활의 수치해석)

  • Chung C. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.207-213
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    • 2004
  • A kinetic theory analysis is used to study the ultra-thin gas flow field in a gas slider bering, 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 a flow in a micro-channel between an inclined slider and a moving disk drive platter. The results are compared well with those from the DSMC method. The present method does not suffer from statistical noise which is common in particle based methods and requires much less computational effort.

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Characteristics of Roadbed Behaviors of Concrete Track for High-Speed Railway (고속철도 콘크리트궤도용 흙노반의 거동 특성)

  • Lee Il-Wha;Lee Su-Hyung;Kang Yun-Suk
    • Journal of the Korean Society for Railway
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    • v.9 no.3 s.34
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    • pp.298-304
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    • 2006
  • An active application of concrete track is being expected for the future constructions of Korean railroad. For the successful concrete track construction and design in earthwork areas, the roadbed behavior should be reasonably estimated using the proper analysis method. In this paper, behaviors of concrete track on the reinforced roadbed constructed with the standard stiffness and depth were estimated thorough numerical analyses and field measurements. A three dimensional finite difference method was employed to model the concrete tracks and subground. The settlement and vertical pressures caused by train load were estimated by the numerical method and compared with the field measurement results. The bearing characteristics of roadbed were presented and the proper method for the analysis of concrete track was proposed.

A REVIEW OF THE SUPRA-CONVERGENCES OF SHORTLEY-WELLER METHOD FOR POISSON EQUATION

  • Yoon, Gangjoon;Min, Chohong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.1
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    • pp.51-60
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    • 2014
  • The Shortley-Weller method is a basic finite difference method for solving the Poisson equation with Dirichlet boundary condition. In this article, we review the analysis for supra-convergence of the Shortley-Weller method. Though consistency error is first order accurate at some locations, the convergence order is globally second order. We call this increase of the order of accuracy, supra-convergence. Our review is not a simple copy but serves a basic foundation to go toward yet undiscovered analysis for another supra-convergence: we present a partial result for supra-convergence for the gradient of solution.

ADAPTIVE GRID SIMULATION OF HYPERBOLIC EQUATIONS

  • Li, Haojun;Kang, Myungjoo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.4
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    • pp.279-294
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    • 2013
  • We are interested in an adaptive grid method for hyperbolic equations. A multiresolution analysis, based on a biorthogonal family of interpolating scaling functions and lifted interpolating wavelets, is used to dynamically adapt grid points according to the physical field profile in each time step. Traditional finite-difference schemes with fixed stencils produce high oscillations around sharp discontinuities. In this paper, we hybridize high-resolution schemes, which are suitable for capturing singularities, and apply a finite-difference approach to the scaling functions at non-singular points. We use a total variation diminishing Runge-Kutta method for the time integration. The computational cost is proportional to the number of points present after compression. We provide several numerical examples to verify our approach.