• Title/Summary/Keyword: Time Stepping Method

Search Result 163, Processing Time 0.025 seconds

EFFICIENT NUMERICAL METHODS FOR THE KDV EQUATION

  • Kim, Mi-Young;Choi, Young-Kwang
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.15 no.4
    • /
    • pp.291-306
    • /
    • 2011
  • We consider the second order Strang splitting method to approximate the solution to the KdV equation. The model equation is split into three sets of initial value problems containing convection and dispersal terms separately. TVD MUSCL or MUSCL scheme is applied to approximate the convection term and the second order centered difference method to approximate the dispersal term. In time stepping, explicit third order Runge-Kutta method is used to the equation containing convection term and implicit Crank-Nicolson method to the equation containing dispersal term to reduce the CFL restriction. Several numerical examples of weakly and strongly dispersive problems, which produce solitons or dispersive shock waves, or may show instabilities of the solution, are presented.

Analysis and Comparison of a Permanent-Magnet DC Motor with a Field-Winding DC Motor

  • Kiyoumarsi, Arash
    • Journal of Electrical Engineering and Technology
    • /
    • v.4 no.3
    • /
    • pp.370-376
    • /
    • 2009
  • The influence of magnetic saturation on electromagnetic field distribution in both a permanent-magnet direct-current (PMDC) motor and a field-winding (wound-field) direct-current (FWDC) motor, with the same output mechanical power, has been studied. In this paper, an approximate analytical method and time-stepping Finite Element Method (FEM) are used for prediction of Back-EMF and electromagnetic torque. No-load and rotor-lucked conditions, according to experimental measurements, and the FEM and analytical method studies of the motors have been considered. A sensitivity analysis has also been successfully accomplished on the major design parameters that affect motor performance. At last, these two DC motors are compared, in spite of their differences, on the basis of measured output characteristics.

Simulation Method of Temperature Dependent Threshold Voltage Shift in Metal Oxide Thin-film Transistors (온도에 의한 산화물 박막트랜지스터의 문턱전압 이동 시뮬레이션 방안)

  • Kwon, Seyong;Jung, Taeho
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.28 no.3
    • /
    • pp.154-159
    • /
    • 2015
  • In this paper, we propose a numerical method to model temperature dependent threshold voltage shift observed in metal oxide thin-film transistors (TFTs). The proposed model is then implemented in AIM-SPICE circuit simulation tool. The proposed method consists of modeling the well-known stretched-exponential time dependent threshold voltage shift and their temperature dependent coefficients. The outputs from AIM-SPICE tool and the stretched-exponential model at different temperatures in the literature are compared and they show a good agreement. Since metal oxide TFTs are the promising candidate for flat panel displays, the proposed method will be a good stepping stone to help enhance reliability of fast-evolving display circuits.

An Application of Space and Time Finite Element Method for Two-Dimensional Transient Vibration (2차원 동적 진동문제의 공간-시간 유한요소법 적용)

  • Kim, Chi-Kyung
    • Journal of the Korean Society of Safety
    • /
    • v.21 no.2 s.74
    • /
    • pp.143-149
    • /
    • 2006
  • This paper deals with the space-time finite element analysis of two-dimensional vibration problem with a single variable. The method of space-time finite elements enables the simpler solution than the usual finite element analysis with discretization in space only. We present a discretization technique in which finite element approximations are used in time and space simultaneously for a relatively large time period. The weighted residual process is used to formulate a finite element method for a space-time domain. A stability problem is described and some investigations for chosen type of rectangular space-time finite elements are carried out. Instability is caused by a too large time step of successive time steps in the traditional time-dependent problems. It has been shown that the numerical stability of time-stepping on the larger time steps is quite good. The unstructured space-time finite element not only overcomes the shortcomings of the stability in the traditional numerical methods, but it is also endowed with the features of an effective computational technique. Some numerical examples have been presented to illustrate the efficiency of the described method.

Finite Element Analysis of a BLDC Motor Considering the Eddy Current in Rotor Steel Shell (회전자 철심의 와전류를 고려한 BLDC 전동기의 유한 요소 해석)

  • Park, Seung-Chan;Yun, Tae-Ho;Gwon, Byeong-Il;Yun, Hui-Su;Won, Seong-Hong
    • The Transactions of the Korean Institute of Electrical Engineers B
    • /
    • v.48 no.3
    • /
    • pp.110-116
    • /
    • 1999
  • This paper describes the effect of eddy currents in the rotor steel shell of exterior-rotor permanent magnet BLDC motor of which rotor is revolving at a high speed. A two-dimensional time-stepping finite element method is used for analyzing electromagnetic field and computing performances of the motor. As a result the effect of the eddy currents in the rotor steel shell is shown by comparing the analysis results from both the proposed method and the conventional one.

  • PDF

Sensitivity Analysis of Design Parameters for Reduction of Cogging Torque in Brushless DC Motors used for Automobile Part (자동차 부품용 BLDC 모터 내의 코깅 토크 저감을 위한 설계 변수의 민감도 해석)

  • 황상문
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.6 no.2
    • /
    • pp.235-243
    • /
    • 1998
  • For motor operation at low speeds and loads, torque pulsation by the cogging torque is often a source of vibration and control difficulty. In this paper, the magnetic field of a motor is calculated by finite element method. The periodic cogging torque is determined using Maxwell stress method and time stepping method, and then decomposed using fourier series expansion, The purpose of this paper is to characterize design parameters on the cogging torque and to design a permanent magnet motor with a cogging torque less vulnerable to vibration, without sacrificing the motor performance. The design parameters include stator slot width, permanent magnet slot width, airgap length and magnetization direction. A new design with a less populated frequency spectrum of the cogging torque is proposed after characterizing individual effect of design parameters. Magnet pole edge shaping, by gradually increasing the cogging torque with reduced higher harmonics.

  • PDF

Application of 3D ADI-FDTD Method for GPR System Simulation (GPR 시스템 시뮬레이션을 위한 3차원 ADI-FDTD 기법의 적용)

  • Jeon Won Sok;Yeo Woonsik;Yun Seung Hyun;Kim Hyeongdong
    • Proceedings of the IEEK Conference
    • /
    • 2004.06a
    • /
    • pp.131-134
    • /
    • 2004
  • This paper has been studied a ADI-FDTD(Alternating Direction Implicit Finite Difference Time Domain ) algorithm using an alternating Direction time-stepping scheme for GPR( Ground-Penetrating Radar ) system simulation. We did the numerical formulations for three-dimensional ADI-FDTD algorithm and PML(Perfect Matched Layer), and made an simple experiment on a arbitrary cube with programed algorithms. And then we compared its computed results with those of conventional FDTD.

  • PDF

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

  • Kim J.;Kim H. T.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1995.10a
    • /
    • pp.175-181
    • /
    • 1995
  • 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 the various 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 agreements.

  • PDF

A Study of Convergence Enhancement Using Preconditioning Methods at Two Dimensional Compressible Low Speed Flows (저속 압축성 유동에서 예조건화 방법을 이용한 수렴성 증진에 대한 연구)

  • Lee J. E.;Park S. H.;Kwon J. H.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2004.10a
    • /
    • pp.7-14
    • /
    • 2004
  • It is well known that preconditioning methods are efficient for convergence acceleration at compressible low Mach number flows. In this study, the original Euler equations and three preconditioners nondimensionalized differently are implemented in two dimensional inviscid bump flows using the 3rd order MUSCL and DADI schemes as flux discretization and time integration respectively. The multigrid and local time stepping methods are also used to accelerate the convergence. The test case indicates that a properly modified local preconditioning technique involving concepts of a global preconditioning one produces Mach number independent convergence. Besides, an asymptotic analysis for properties of preconditioning methods is added.

  • PDF

Micro Polishing Force Control of the Polishing Machine with the Airbag Tool (에어백 공구 기반의 광학 연마 장치의 미세 힘 제어 구현)

  • Lee, Ho-Cheol;Lee, Chang-Eun;Je, Tae-Jin
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.21 no.5
    • /
    • pp.714-719
    • /
    • 2012
  • In this paper, the polishing force monitoring and the control method were implemented for the polishing machine with the airbag tool. Airbag tool has been known to be adaptable to the curvature variation such as the aspherical and the free-form surface. However, it was necessary to control the tool movement of vertical axis also because of the table rotational wobble and vibration. To solve it by the polishing force control, we installed another stepping motor to the z-axis. And the polishing force was measured with the load cell and controlled by the PID Labview controller. A few hundreds gram of the polishing force were well controlled under 0.8 second of the response time and 5% variation. An experiment was done to clean the edge burrs of the micro channel structure of width $87{\mu}m$ using the polishing force control.