• Title/Summary/Keyword: Discontinuous model

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Layer Interface Analysis of Multi-Layered Soils by Numerical Methods (수치해석에 의한 다층토 압밀의 경계요소면 해석)

  • 김팔규;류권일;구기욱;남상규
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.03a
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    • pp.349-356
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    • 1999
  • In general, the term soft ground includes clayey soils, which have large compressibility and small shear resistance due to the external load. All process of consolidation in compressible soils can be explained in terms of a transfer of load from an incompressible pore-water to a compressible soil structure. Therefore, one of the most important subjects about the characteristics of the time-dependent consolidation of the clay foundation by the change of load may be the presumption of the final settlement caused by consolidation and the degree of consolidation according to the time. The problems of discontinuous layer interface are very important in the algorithm and programming for the analysis of multi-layered soils using a numerical analysis, finite difference method. Better results can be obtained by the Process for discontinuous layer interface, since it can help consolidation analysis to model the actual ground. The purpose of this paper Provides an efficient computer algorithm based on numerical analysis using finite difference method(F.D.M.) which account for multi-layered soils to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically.

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EFFICIENT COMPUTATION OF COMPRESSIBLE FLOW BY HIGHER-ORDER METHOD ACCELERATED USING GPU (고차 정확도 수치기법의 GPU 계산을 통한 효율적인 압축성 유동 해석)

  • Chang, T.K.;Park, J.S.;Kim, C.
    • Journal of computational fluids engineering
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    • v.19 no.3
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    • pp.52-61
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    • 2014
  • The present paper deals with the efficient computation of higher-order CFD methods for compressible flow using graphics processing units (GPU). The higher-order CFD methods, such as discontinuous Galerkin (DG) methods and correction procedure via reconstruction (CPR) methods, can realize arbitrary higher-order accuracy with compact stencil on unstructured mesh. However, they require much more computational costs compared to the widely used finite volume methods (FVM). Graphics processing unit, consisting of hundreds or thousands small cores, is apt to massive parallel computations of compressible flow based on the higher-order CFD methods and can reduce computational time greatly. Higher-order multi-dimensional limiting process (MLP) is applied for the robust control of numerical oscillations around shock discontinuity and implemented efficiently on GPU. The program is written and optimized in CUDA library offered from NVIDIA. The whole algorithms are implemented to guarantee accurate and efficient computations for parallel programming on shared-memory model of GPU. The extensive numerical experiments validates that the GPU successfully accelerates computing compressible flow using higher-order method.

Robust Vibration Control of Smart Structures via Discrete-Time Fuzzy-Sliding Modes (이산시간 퍼지-슬라이딩모드를 이용한 스마트구조물의 강건진동제어)

  • Choi, Seung-Bok;Kim, Myoung-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3560-3572
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    • 1996
  • This paper presents a new discrete-time fuzzy-sliding mode controller for robust vibration control of a smart structure featuring a piezofilm actuator. A governong equation of motion for the smart beam structure is derived and discrete-time codel with mismatched uncertainties such as parameter variations is constructed ina state space. A discrete-time sliding mode control system consisting of an equivalent controller and a discontinuous controller is formulated. In the design of the equivalent part, so called an equivalent controller separation method is adopted to achieve vzster convergence to a sliding surface without extension of a sliding region, in which the system robustness maynot be guaranteed. On the other hand, the discontinuous part is constructed on the basis of both the sliding and the convergence conditions using a time-varying feedback gain. The sliding moide controller is then incorporated with a fuzzy technique to appropriately determine principal control parameters such as a discountinuous feedback gain. Experimental implementation on the forced and random vibraiton controls is undertaken in order to demonstrate superior control performance of the proposed controller.

A Numerical Analysis of a Discontinuous Flow with TVD Scheme (TVD기법을 이용한 불연속 흐름의 수치해석)

  • Jeon, Jeong-Sook;Lee, Bong-Hee;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.36 no.4
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    • pp.597-608
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    • 2003
  • A transcritical flow occurs when the width and slope of a channel are varying abruptly. In this study, the transcritical flow in a two-dimensional open channel is analyzed by using the shallow-water equations. A weighted average flux scheme that has flux limiter with a total variation diminishing condition is introduced for a second-order accuracy in time and space, and non- spurious oscillations at discontinuous points. A HLLC method with three wane speeds is employed to calculate the Riemann problem. To overcome difficulties resulting from variation of channel sections in a two-dimensional analysis of transcritical flow, the numerical model is developed based on a generalized grid system.

Simulation of Capacitively Coupled RF Plasma; Effect of Secondary Electron Emission - Formation of Electron Shock Wave

  • Park, Seung-Kyu;Kim, Heon-Chang
    • Journal of the Semiconductor & Display Technology
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    • v.8 no.3
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    • pp.31-37
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    • 2009
  • This paper presents one and two dimensional simulation results with discontinuous features (shocks) of capacitively coupled rf plasmas. The model consists of the first two and three moments of the Boltzmann equation for the ion and electron fluids respectively, coupled to Poisson's equation for the self-consistent electric field. The local field and drift-diffusion approximations are not employed, and as a result the charged species conservation equations are hyperbolic in nature. Hyperbolic equations may develop discontinuous solutions even if their initial conditions are smooth. Indeed, in this work, secondary electron emission is shown to produce transient electron shock waves. These shocks form at the boundary between the cathodic sheath (CS) and the quasi-neutral (QN) bulk region. In the CS, the electrons emitted from the electrode are accelerated to supersonic velocities due to the large electric field. On the other hand, in the QN the electric field is not significant and electrons have small directed velocities. Therefore, at the transition between these regions, the electron fluid decelerates from a supersonic to a subsonic velocity in the direction of flow and a jump in the electron velocity develops. The presented numerical results are consistent with both experimental observations and kinetic simulations.

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Seismic Behavior Characteristics of Stone Pagoda According to Contact Surface Types (접촉면 처리 방식에 따른 석탑의 내진 특성 평가)

  • Kim, Ho-Soo;Kim, Dong-Kwan;Won, Tae-Ho;Jeon, Geon-Woo
    • Journal of Korean Association for Spatial Structures
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    • v.19 no.3
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    • pp.41-50
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    • 2019
  • The stone pagoda continued to be damaged by weathering and corrosion over time, and natural disasters such as earthquake are accelerating the destruction of cultural properties. Stone pagoda has discontinuous structure behavior and is very vulnerable to the seismic load acting in lateral direction. It is necessary to analyze various design variables as the contact surface characteristics play an important role in the dynamic behavior of stone pagodas. For this purpose, contact surface characteristics of stone pagoda can be classified according to surface roughness and filler type, and representative model is selected and structural modeling and analysis are performed using the discrete element method. Also, the seismic load according to the repetition period is calculated and the dynamic analysis is performed considering the discontinuous characteristics of the stone pagoda. Finally, the seismic behavior characteristics can be analyzed by the evaluation of stresses, displacements and structural safety.

A Micromechanical Analysis on the Elastic Behavior in Discontinuous Metal Matrix Composites (불연속 금속복합체에서의 탄성거동에 관한 미세구조역학적 해석)

    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.6 no.3
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    • pp.58-64
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    • 1997
  • A micromechanics model to describe the elastic behavior of fiber or whisker reinforced metal matrix composites was developed and the stress concentrations between reinforcements were investigated using the modified shear lag model with the comparison of finite element analysis (FEA). The rationale is based on the replacement of the matrix between fiber ends with the fictitious fiber to maintain the compatibility of displacement and traction. It was found that the new model gives a good agreement with FEA results in the small fiber aspect ratio regime as well as that in the large fiber aspect ratio regime. By the calculation of the present model, stress concentration factor in the matrix and the composite elastic modulus were predicted accurately. Some important factors affecting stress concentrations, such as fiber volume fraction, fiber aspect ratio, end gap size, and modulus ratio, were also discussed.

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A Theoretical Analysis of Two Phase Existence Phenomena on Surface with the Two Dimensional Cluster Aggregation Model (2차원 클러스터 응집모형을 통한 표면 2상공존 현상에 대한 이론적 분석)

  • Choi, Sung-Ryool
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.9
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    • pp.1365-1371
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    • 2013
  • We have introduced two dimensional cluster aggregation model to explain theoretically two phase coexistence phenomena such that adsorption is increased sharply discontinuous in particular pressure on the surface. And then, we have derived adsorption isotherms by applying fundamental statistical thermodynamics and Lagrange multipliers to the our model. By analyzing the our derived adsorption isotherms, we can explain well qualitatively that two phase coexistence on the surface adsorption would be a phenomena that occurs with the strong attractive forces between the adsorbed particles.

유전자 알고리즘을 이용한 반능동형가장치의 구조-제어계의 동시최적화

  • 서민선;이시복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.501-504
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    • 1995
  • A Simultaneous optimal design of structural and control system of a semi-active suspension is applied on a helf-car model in this paper. Suspension stiffnesses and dampings are selected as structural design parameters and damping forces of variable dampers as controller parameters. Sence this optimization problem is of large discontinuous space, conventional exhaustive methods are not enough. So we here try out an approach using Genetic Algorithm for our problem. Through numerical simulation work, the performance of the simultaneously optimized system was tested and showed meaningful improvement over the partially optimized ones.

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NONPARAMETRIC ESTIMATION OF THE VARIANCE FUNCTION WITH A CHANGE POINT

  • Kang Kee-Hoon;Huh Jib
    • Journal of the Korean Statistical Society
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    • v.35 no.1
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    • pp.1-23
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    • 2006
  • In this paper we consider an estimation of the discontinuous variance function in nonparametric heteroscedastic random design regression model. We first propose estimators of the change point in the variance function and then construct an estimator of the entire variance function. We examine the rates of convergence of these estimators and give results for their asymptotics. Numerical work reveals that using the proposed change point analysis in the variance function estimation is quite effective.