• Title/Summary/Keyword: Time-stepping method

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Numerical Simulation of Three Dimensional Incompressible Flows Using the Navier-Stokes Equations with the Artificial Dissipation Terms and a Multigrid Method (다중격자와 인공점성항을 이용한 3차원 비압축성 흐름에 관한 수치모형 해석)

  • Park, Ki-Doo;Lee, Kil-Seong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1392-1396
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    • 2007
  • The governing equations in generalized curvilinear coordinates for 3D laminar flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms. and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. Multigrid methods are also applied because solving the equations on the coarse grids requires much less computational effort per iteration than on the fine grid. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Humphrey et al., 1977).

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A Numerical Study of Unsteady Plows in A Rocket Main Nozzle (로켓 주노즐내 비정상 유동의 수치해석적 연구)

  • Kim S. D.;Kim Y. I.;Song D. J.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.10a
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    • pp.54-59
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    • 2000
  • A numerical study of axisymmetric rocket main nozzle flow has been accomplished. The CSCM upwind flux difference splitting method with an iterative time marching scheme having second order accuracy in time and space has been used to simulate unsteady flow characteristics in an axisymmetric rocket main nozzle. Though the pressure vary at nozzle inlet with the lapse of time, Mach No. and the density were not changed significontly compared with the temperature. Specific heat ratio $\gamma$=1.134 predicted higher temperature at nozzle throat and exit and nondimensional thrust coefficients at exit than specific heat ratio $\gamma$=1.4 did.

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Advanced Finite Element Analysis for Linear Viscoelastic Problems of a Hereditary-Type Constitutive Law (유전적분형 선형 점탄성문제의 유한요소법에 의한 효율적 해석)

  • 심우진;이성희
    • Computational Structural Engineering
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    • v.6 no.2
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    • pp.103-114
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    • 1993
  • An advanced time-domain finite element formulation is presented for the displacement and stress analysis of isotropic, linear viscoelastic problems of a hereditary-type constitutive law. The semidiscrete finite element method with linear time-stepping scheme and an elastic-viscoelastic correspondence principle are used in the theoretical development. An efficient treatment of hereditary integral is introduced to improve the numerical accuracy, to reduce the computation time, and to avoid the use of large memory storage. Two-dimensional numerical examples of plane strain and plane stress are solved under the assumption on the material property of being elastic in dilatation and like three-element Voigt model in distorsion, and compared with the analytical solutions and the past numerical results to show the versatility and efficiency of the proposed method.

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An adaptive control of spatial-temporal discretization error in finite element analysis of dynamic problems

  • Choi, Chang-Koon;Chung, Heung-Jin
    • Structural Engineering and Mechanics
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    • v.3 no.4
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    • pp.391-410
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    • 1995
  • The application of adaptive finite element method to dynamic problems is investigated. Both the kinetic and strain energy errors induced by space and time discretization were estimated in a consistent manner and controlled by the simultaneous use of the adaptive mesh generation and the automatic time stepping. Also an optimal ratio of spatial discretization error to temporal discretization error was discussed. In this study it was found that the best performance can be obtained when the specified spatial and temporal discretization errors have the same value. Numerical examples are carried out to verify the performance of the procedure.

Analysis of Inverter-Fed Induction Motor Using F.E.M and Harmonic Equivalent Circuit (슬롯피치 경계 조건을 이용한 인버터 구동 유도 전동기의 회전자 등가회로 정수 추출 및 특성해석)

  • Lee, Geon-Ho;Kim, Byeong-Tae;Gwon, Byeong-Il
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.7
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    • pp.331-338
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    • 2002
  • An inverter-fed induction is driven by a harmonic voltage source so that it is necessary to be analysed by time-stepping F.E.M. But it takes so long time that disadvantageous to design. This paper presents a simple analysis method for inverter-fed induction motor using FEM and harmonic equivalent circuit. First, the rotor bar resistance and the leakage reactance are determinated by FEA for 1 slot region in rotor to consider the skin effect and the saturation. Secondly, the characteristic of the motor is analyzed by the harmonic equivalent circuits consisting of the obtained parameters from the FEA. This method is carried out to analyze an induction motor driven by the sinusoidal voltage and the inverter. The results are verified by comparing with those of the time-step F.E.A and the experiment.

A study on ultrasonic range finding module for the blind guidance (맹인 안내용 mobile robot 의 초음파 거리 측정 모듈에 관한 연구)

  • 이응혁;윤영배;홍승홍
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.383-386
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    • 1986
  • In this paper, ultrasonic range finding module for the self-contained robot, INHAE-1, is presented. This system is processed, using Z-80 microprocessor, a much of information on the surrounding condition in real time and is realted a sensor for many side data acqusition with a stepping motor. Also this system can obtain the more correct edge of the obstacle using the standard deviation of the least-square method. In this experiment, it gives more correct information to mobile robot of the blind guidance and improves the orientation of the robot path.

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Research of Phase Correlation Method for Identifying Quantitative Similarity in Adjacent Real-time Streaming Frame

  • Cho, Yongjin;Yun, Yeji;Lee, Kyou-seung;Oh, Jong-woo;Lee, DongHoon
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 2017.04a
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    • pp.157-157
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    • 2017
  • To minimize the damage by wild birds and acquire the benefits such as protection against weeds and maintenance of water content in soil, the mulching black color vinyl after seeding should be carried out. Non-contact and non-destructive methods that can continuously determine the locations are necessary. In this study, a crop position detection method was studied that uses infrared thermal image sensor to determine the cotyledon position under vinyl mulch. The moving system for acquiring image arrays has been developed for continuously detecting crop locations under plastic mulching on the field. A sliding mechanical device was developed to move the sensor, which were arranged in the form of a linear array, perpendicular to the array using a micro-controller integrated with a stepping motor. The experiments were conducted while moving 4.00 cm/s speed of the IR sensor by the rotational speed of the stepping motor based on a digital pulse width modulation signal from the micro-controller. The acquired images were calibrated with the spatial image correlation. The collected data were processed using moving averaging on interpolation to determine the frame where the variance was the smallest in resolution units of 1.02 cm. Non-linear integral interpolation was one of method for analyzing the frequency using the normalization image and then arbitrarily increasing the limited data value of $16{\times}4pixels$ in one frame. It was a method to relatively reduce the size of overlapping pixels by arbitrarily increasing the limited data value. The splitted frames into 0.1 units instead of 1 pixel can propose more than 10 times more accurate and original method than the existing correction method. The non-integral calibration method was conducted by applying the subdivision method to the pixels to find the optimal correction resolution based on the first reversed frequency. In order to find a correct resolution, the expected location of the first crop was indicated on near pixel 4 in the inversion frequency. For the most optimized resolution, the pixel was divided by 0.4 pixel instead of one pixel to find out where the lowest frequency exists.

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Numerical Modeling of Short-Time Scale Nonlinear Water Waves Generated by Large Vertical Motions of Non-Wallsided Bodies (Non-Wallsided 물체의 연직운동에 의해 발생된 파의 비선형 해석을 위한 수치해석 모형의 연구)

  • Park, Jong-Hwan;;Troesch, Armin W.
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.33-55
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    • 1993
  • 선수충격파의 문제를 푸는데 있어서 Boundary Integral Method(BIM)의 여러가지 수치 해석방법이 검토되었으며, 특히 여러가지 Time stepping scheme, Green function, far-field 조건등에 따른 수치해석안정성과 정확성의 상관관계가 연구되었다. von Neumann 안정성해석과 matrix 안정성해석 등을 이용한 선형 안정성해석을 기초로하여, 수치해석방법의 안정성 여부를 체계적으로 조사할 수 있는 parameter(Free Surface Stability number)를 설정하고, 이 parameter의 변화에 따른 비선형 운동해석을 연구하였다. 그 결과 비선형성이 심하지 않은 기진파의 경우에서는 비선형 운동해석의 수치해석 안정성의 선형 수치해석 안정성과 큰 차이가 없음을 알 수 있게 된다.

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DEVELOPMENT OF EFFICIENT HARMONIC BALANCE METHOD WITH THE MULTIGRID METHOD (다중격자 기법이 적용된 효율적인 조화 균형법 개발)

  • Im, D.K.;Park, S.H.;Kwon, J.H.
    • Journal of computational fluids engineering
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    • v.15 no.4
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    • pp.76-84
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    • 2010
  • In order to analyze the periodic unsteady flow problem efficiently the partially implicit harmonic balance (PIHB) method was developed. Contrary to the existing harmonic balance method, this method handles the harmonic source term explicitly and deals with flux terms implicitly. This method has a good convergence in comparison with the full explicit harmonic method and it is easy to apply this method because there is no need to calculate the complicated flux Jacobian term by comparing with the full implicit harmonic method. With the multigrid method about the each harmonic it turns out that this method has a good convergence regardless of the number of harmonics. The oscillating flows over NACA0012 airfoil is considered to verify this method then the result correponsed to both the result of dual time stepping and explicit Runge-Kutta method.

An Adaptive Procedure in Finite Element Analysis of Elastodynamic Problems (적응적 방법을 이용한 동적 유한요소해석)

  • 최창근;정흥진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.1-8
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    • 1994
  • An automated procedure which allows adaptation of spatial and time discretization simultaneously in finite element analysis of linear elastodynamic problems is presented. For dynamic problems having responses dominated by high frequency modes, such as those with impact, explosive, traveling and earthquake loads high gradient stress regions change their locations from time to time. And the time step size may need to vary in order to deal with whole process ranging from transient phase to steady state phase. As the sizes of elements in space vary in different regions, the procedure also permits different time stepping. In such a way, the best performance attainable by the finite element method can be achieved. In this study, we estimate both of the kinetic energy error and stran energy error induced by spatial and time discretization in a consistent manner. Numerical examples are used to demonstrate the performance of the procedure.

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