• Title/Summary/Keyword: Time Stepping Method

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Semi-Lagrangian flow analysis of Viscoelastic fluid using Objective Time Integration (Semi Lagrangian 방법과 Objective Time Integration을 이용한 점탄성 유동 해석)

  • Kang, S.Y.;Kim, S.M.;Lee, W.I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.99-104
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    • 2006
  • A semi-Lagrangian finite element scheme with objective time stepping algorithm for solving viscoelastic flow problem is presented. The convection terms in the momentum and constitutive equations are treated using a quasi-monotone semi-Lagrangian scheme, in which characteristic feet on a regular grid are traced backwards over a single time-step. Concerned with the generalized midpoint rule type of algorithms formulated to exactly preserve objectivity, we use the geometric transformation such as pull-back, push-forward operation. The method is applied to the 4:1 planar contraction problem for an Oldroyd B fluid for both creeping and inertial flow conditions.

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

  • Moon Young J.
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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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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A Preconditioning Method for Two-Phase Flows with Cavitation

  • Shin B.R.;Yamamoto S.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.181-182
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    • 2003
  • A preconditioned numerical method for gas-liquid to-phase flow is applied to solve cavitating flow. The present method employs a density based finite-difference method of dual time-stepping integration procedure and Roe's flux difference splitting approximation with MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. The method permits simple treatment of the whole gas-liquid two-phase flow field including wave propagation, large density changes and incompressible flow characteristics at low Mach number. By this method, two-dimensional internal flows through a venturi tuve and decelerating cascades are computed and discussed.

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A Speed Control of BLDC Motor using Adaptive Back stepping Technique (BLDC motor의 적응백스텝핑 속도제어)

  • Jeon, Yong-Ho;Cho, Min-Ho
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.8
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    • pp.899-905
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    • 2014
  • In this paper, we propose a method that can be used to back-stepping controller design for speed control of Brushless Direct Current (BLDC) motor. First, back-stepping controller is designed with load torque estimator. The estimator is included to adapt to the variation of load torque in real time. Finally, the proposed controller is tested through experiment with a 120W BLDC motor for the angular velocity reference tracking performance and load torque volatility estimation. The simulation result verifies the performance of the proposed controller.

Nonlinear and Adaptive Back-Stepping Speed Control of IPMSM (IPMSM의 비선형 적응 백스텝핑 속도 제어)

  • Jeon, Yong-Ho;Jung, Seung-Hwan;Choy, Ick;Cho, Whang
    • The Transactions of the Korean Institute of Power Electronics
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    • v.18 no.1
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    • pp.18-25
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    • 2013
  • In this paper, a nonlinear controller based on adaptive back-stepping method is proposed for high performance operation of Interior Permanent Magnet Synchronous Motor (IPMSM). First, in order to improve the performance of speed tracking, a nonlinear back-stepping controller is designed. In addition, since it is difficult to achieve the high quality control performance without considering parameter variation, a parameter estimator is included to adapt to the variation of load torque in real time. Finally, for the efficiency of power consumption of the motor, controller is designed to operate motor with the minimum current for the required maximum torque. The proposed controller is tested through experiment with a 1-hp Interior Permanent Magnet Synchronous Motor (IPMSM) for the angular velocity reference tracking performance and load torque volatility estimation, and to test the Maximum Torque per Ampere (MTPA) operation. The result verifies the efficacy of the proposed controller.

Development of a 3-D Unsteady Viscous Flow Solver on Deforming Unstructured Meshes (변형되는 비정렬 격자계를 이용한 삼차원 비정상 점성 유동 계산 기법 개발)

  • Kim J. S.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.9 no.2
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    • pp.52-61
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    • 2004
  • In the present study, a solution algorithm for the computation of unsteady flows on unstructured meshes is presented. Dual time stepping is incorporated to achieve the second-order temporal accuracy while reducing errors associated with linearization and factorization. This allows any time step size, which is suitable for considering physical phenomena of interest. The Gauss-Seidel scheme is used to solve the linear system of equations. A special treatment based on spring analogy is made to handle meshes with high aspect-ratio cells. The present method was validated by comparing the results with experimental data and those obtained from rigid motion.

Computation of 3-Dimensional Unseady Flows Using an Parallel Unstructured Mesh (병렬화된 비정렬 격자계를 이용한 3차원 비정상 유동 계산)

  • Kim Joo Sung;Kwon Oh Joon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.59-62
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    • 2002
  • In the present study, solution algorithms for the computation of unsteady flows on an unstructured mesh are presented. Dual time stepping is incorporated to achieve the 2-nd order temporal accuracy while reducing the linearization and the factorization errors associated with a linear solver. Hence, any time step can be used by only considering physical phenomena. Gauss-Seidel scheme is used to solve linear system of equations. Rigid motion and spring analogy method fur moving mesh are all considered and compared. Special treatments of spring analogy for high aspect ratio cells are presented. Finally, numerical results for oscillating wing are compared with experimental data.

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Computation of 3-Dimensional Unsteady Viscous Plows Using an Parallel Unstructured Mesh (병렬화된 비정렬 격자계를 이용한 3차원 비정상 점성 유동 계산 기법 개발)

  • Kim J.S.;Kwon O.J.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.08a
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    • pp.18-24
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    • 2003
  • In the present study, solution algorithms for the connotation of unsteady flows on an unstructured mesh me presented Dual time stepping is incorporated to achieve the 2-nd order temporal accuracy while reducing the linearization and the factorization errors associated with a linear solver. Hence, any time step can be used by only considering physical phenomena. Gauss-Seidel scheme is used to solve linear system of equations. Rigid motion and suing analogy method for moving mesh are all considered and compared. Special treatments of suing analogy for high aspect ratio cells are presented. Finally, numerical results for oscillating ing are compared with experimental data.

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A New Time Stepping Method for Solving One Dimensional Burgers' Equations

  • Piao, Xiang Fan;Kim, Sang-Dong;Kim, Phil-Su;Kim, Do-Hyung
    • Kyungpook Mathematical Journal
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    • v.52 no.3
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    • pp.327-346
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    • 2012
  • In this paper, we present a simple explicit type numerical method for discretizations in time for solving one dimensional Burgers' equations. The proposed method does not need an iteration process that may be required in most implicit methods and have good convergence and efficiency in computational sense compared to other known numerical methods. For evidences, several numerical demonstrations are also provided.

Analysis of delay compensation in real-time dynamic hybrid testing with large integration time-step

  • Zhu, Fei;Wang, Jin-Ting;Jin, Feng;Gui, Yao;Zhou, Meng-Xia
    • Smart Structures and Systems
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    • v.14 no.6
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    • pp.1269-1289
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    • 2014
  • With the sub-stepping technique, the numerical analysis in real-time dynamic hybrid testing is split into the response analysis and signal generation tasks. Two target computers that operate in real-time may be assigned to implement these two tasks, respectively, for fully extending the simulation scale of the numerical substructure. In this case, the integration time-step of solving the dynamic response of the numerical substructure can be dozens of times bigger than the sampling time-step of the controller. The time delay between the real and desired feedback forces becomes more striking, which challenges the well-developed delay compensation methods in real-time dynamic hybrid testing. This paper focuses on displacement prediction and force correction for delay compensation in the real-time dynamic hybrid testing with a large integration time-step. A new displacement prediction scheme is proposed based on recently-developed explicit integration algorithms and compared with several commonly-used prediction procedures. The evaluation of its prediction accuracy is carried out theoretically, numerically and experimentally. Results indicate that the accuracy and effectiveness of the proposed prediction method are of significance.