• 제목/요약/키워드: Runge Kutta Method

검색결과 502건 처리시간 0.026초

선형 이산계의 동적응답을 위한 스펙트럴해석법 (Spectral Analysis Method for the Dynamic Response of Linear Discrete Systems)

  • 김성환;이우식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1654-1659
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    • 2003
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear discrete systems. The force vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the exact analytical solutions as well as with the numerical solutions obtained by the Runge-Kutta method.

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가압축성 기법을 이용한 비정렬 격자상에서의 비압축성 점성해석 (Incompressible Viscous Analysis on Unstructured Meshes using Artificial Compressibility Method)

  • 문영준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1995년도 추계 학술대회논문집
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    • pp.113-117
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    • 1995
  • Viscous analysis on incompressible flows is performed using unstructured triangular meshes. A two-dimensional and axisymmetric incompressible Navier-Stokes equations are solved in time-marching form by artificial compressibility method. The governing equations are discretized by a cell-centered based finite-volume method. and a centered scheme is used for inviscid and viscous fluxes with fourth order artificial dissipation. An explicit multi-stage Runge-Kutta method is used for the time integration with local time stepping and implicit residual smoothing. Convergence properties are examined and solution accuracies are also validated with benchmark solution and experiment.

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NUMERICAL INVESTIGATION OF INTERACTION BEHAVIOR BETWEEN CAVITATION BUBBLE AND SHOCK WAVE

  • Shin, Byeong-Rog;An, Young-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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    • pp.215-220
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    • 2008
  • A numerical method for gas-liquid two-phase flow is applied to solve shock-bubble interaction problems. The present method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. By this method, a Riemann problem for shock tube was computed for validation. Then, shock-bubble interaction problems between cylindrical bubbles located in the liquid and incident liquid shock wave are computed.

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NUMERICAL INVESTIGATION OF INTERACTION BEHAVIOR BETWEEN CAVITATION BUBBLE AND SHOCK WAVE

  • Shin, Byeong-Rog;An, Young-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.215-220
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    • 2008
  • A numerical method for gas-liquid two-phase flow is applied to solve shock-bubble interaction problems. The present method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. By this method, a Riemann problem for shock tube was computed for validation. Then, shock-bubble interaction problems between cylindrical bubbles located in the liquid and incident liquid shock wave are computed.

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NUMERICAL METHODS FOR A STIFF PROBLEM ARISING FROM POPULATION DYNAMICS

  • Kim, Mi-Young
    • Korean Journal of Mathematics
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    • 제13권2호
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    • pp.161-176
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    • 2005
  • We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.

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자기 회전 디스크와 헤드의 충격해석 (Shock Analysis of Magnetic Rotating Disk and Head)

  • 장영배;박대경;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.533-538
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    • 2002
  • This research demonstrates the transient response of a head disk assembly subjected to a half-sine shock pulse in the axial direction. In case of disk analysis, the numerical method presented by Barasch and Chen is used. Galerkin method is used with mode shape by numerical method. head-suspension system is modeled by the cantilever in order to get simulation results. Simulation results about total system of HDA are calculated by Runge-Kutta method.

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비비례 진동감쇠를 갖는 선형 동역학계의 스펙트럴 해석법 (Spectral Analysis Method for the Multi-DOFs Dynamic Systems with Non-Proportional Damping)

  • 조주용;김성환;이우식
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2004년도 추계학술대회 논문집
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    • pp.411-416
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    • 2004
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear dynamic systems with non-proportional damping. The force vibration of a non-proportionally damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the numerical solution obtained by the Runge-Kutta method

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선체의 회전을 고려한 선박과 교량의 간이충돌모델 (A Simplified Bridge-vessel Collision Model Considering with the Rotational Motions of the Vessel)

  • 이계희
    • 대한토목학회논문집
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    • 제31권2A호
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    • pp.43-49
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    • 2011
  • 본 연구에서는 선교나 부선등에 실린 장비들과 같이 선박의 회전중심으로부터 이격된 선박구조와 교량의 상부구조가 충돌하는 경우의 충돌거동을 해석할 수 있도록 선박의 회전을 고려한 간이충돌모델을 개발하였다. 충돌모델은 선박과 교량의 질량과 강도 및 비선형성을 나타내도록 하였고, 모델의 비선형 운동방정식을 4차 Runge-Kutta방법을 이용하여 수치적으로 해석하였다. 현재 국내에서 운용되고 있는 부선의 제원을 선폭을 기준으로 표준화하고 작성된 충돌모델을 이용하여 각종 충돌조건이 교량의 충돌하중이 미치는 영향에 대한 매개변수연구를 수행하였다.

인덕터 안전기용 형광램프 모델링 (A Fluorescent Lamp Modeling for Inductor Ballast)

  • 이진우
    • 조명전기설비학회논문지
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    • 제18권1호
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    • pp.9-14
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    • 2004
  • 본 논문에서는 내부 입자의 반경방향 분포와 구동회로를 고려한 형광램프 모델링을 수행하였다. 모델링에서 전자에너지 분포는 Maxwellian으로 가정하였으며, 전자 이동도와 유극성 확산계수는 상수를 사용하였다. 방전 중 수은원자는 6가지 에너지레벨을 갖는다고 가정하였다. 모델을 사용하여 4개의 편미분 2개의 상미분 연립방정식을 FDM과 2계 Runge-Kutta 방법을 사용하여 수치적으로 해를 구하였다. 개발한 모델을 실제 형광램프와 LR안정기 회로에 적용하여 실험적으로 측정한 전압, 전류 파형과 수치해석적으로 구한 전압, 전류 파형을 비교하여, 본 형광램프 모델링의 타당성을 보였다.

단일 공동주위의 2차원과 3차원 초음속 유동 비교 (COMPARISON OF TWO- AND THREE-DIMENSIONAL SUPERSONIC TURBULENT FLOWS OVER A SINGLE CAVITY)

  • 우철훈;김재수
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.235-238
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    • 2005
  • The unsteady supersonic flow over two- and three-Dimensional cavities has been analyzed by the integration of unsteady Reynolds-Averaged Navier-Stokes(RANS) with the k - w turbulence model. The unsteady flow is characterized by the periodicity due to the mutual relation between the shear layer and the internal flow in cavities. Numerical method is upwind TVD scheme based on the flux vector split with the Van Leer limiters, and time accuracy is used explicit 4th stage Runge-Kutta scheme. Cavity flows are Comparison of two- and three-dimensional. The cavity has a L/D ratio of 3 for two-dimensional case. and same L/D and W/D ratio is 1 for three-dimensional case. The Mach and Reynolds numbers are held constant at 1.5 and 450000 respectively. For the three-dimensional case, the flow field is observed to oscillate in the 'shear layer mode' with a feedback mechanism that follow Rossiter's formula. On the other hand, the self-sustained oscillating flow transitions to a 'wake mode' for the two-dimensional simulation, with more violent fluctuations inside the cavity.

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