• 제목/요약/키워드: numerical techniques

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시간영역에서의 전자장 수치해석 (Numerical Analysis of Electromagnetic Fields in the Time-Domain)

  • 남상욱
    • 한국전자파학회지:전자파기술
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    • 제2권4호
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    • pp.66-73
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    • 1991
  • This paper reviews two representative time-domain techniques for the simulation of the electromagnetic fields, which are known as FD - TD and TLM. The fundamental ideas of two tec- hniques are explained in detail. Also, the implimentation of the boundary conditions, the statability condition, and the representation of media in the problems are described briefly.

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Algorithm for the Constrained Chebyshev Estimation in Linear Regression

  • Kim, Bu-yong
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.47-54
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    • 2000
  • This article is concerned with the algorithm for the Chebyshev estimation with/without linear equality and/or inequality constraints. The algorithm employs a linear scaling transformation scheme to reduce the computational burden which is induced when the data set is quite large. The convergence of the proposed algorithm is proved. And the updating and orthogonal decomposition techniques are considered to improve the computational efficiency and numerical stability.

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최적제어이론과 관련된 "리카티" 미분방정식의 수식해 (Numerical Solution of Riccati Differential Equation in Optimal Control Theory)

  • 경규학
    • 한국경영과학회지
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    • 제9권2호
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    • pp.28-33
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    • 1984
  • In this paper some procedures are given whereby an analytic solution may be found for the Riccati differential equation and algebraic Riccati equation in optimal control theory. Some iterative techniques for solving these equations are presented. Rate of convergence and initialization of the iterative processes are discussed.

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A MASS LUMPING AND DISTRIBUTING FINITE ELEMENT ALGORITHM FOR MODELING FLOW IN VARIABLY SATURATED POROUS MEDIA

  • ISLAM, M.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제20권3호
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    • pp.243-259
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    • 2016
  • The Richards equation for water movement in unsaturated soil is highly nonlinear partial differential equations which are not solvable analytically unless unrealistic and oversimplifying assumptions are made regarding the attributes, dynamics, and properties of the physical systems. Therefore, conventionally, numerical solutions are the only feasible procedures to model flow in partially saturated porous media. The standard Finite element numerical technique is usually coupled with an Euler time discretizations scheme. Except for the fully explicit forward method, any other Euler time-marching algorithm generates nonlinear algebraic equations which should be solved using iterative procedures such as Newton and Picard iterations. In this study, lumped mass and distributed mass in the frame of Picard and Newton iterative techniques were evaluated to determine the most efficient method to solve the Richards equation with finite element model. The accuracy and computational efficiency of the scheme and of the Picard and Newton models are assessed for three test problems simulating one-dimensional flow processes in unsaturated porous media. Results demonstrated that, the conventional mass distributed finite element method suffers from numerical oscillations at the wetting front, especially for very dry initial conditions. Even though small mesh sizes are applied for all the test problems, it is shown that the traditional mass-distributed scheme can still generate an incorrect response due to the highly nonlinear properties of water flow in unsaturated soil and cause numerical oscillation. On the other hand, non oscillatory solutions are obtained and non-physics solutions for these problems are evaded by using the mass-lumped finite element method.

THE METHOD OF NONFLAT TIME EVOLUTION (MONTE) IN PDE-BASED IMAGE RESTORATION

  • Cha, Youngjoon;Kim, Seongjai
    • 한국통신학회논문지
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    • 제37A권11호
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    • pp.961-971
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    • 2012
  • This article is concerned with effective numerical techniques for partial differential equation (PDE)-based image restoration. Numerical realizations of most PDE-based denoising models show a common drawback: loss of fine structures. In order to overcome the drawback, the article introduces a new time-stepping procedure, called the method of nonflat time evolution (MONTE), in which the timestep size is determined based on local image characteristics such as the curvature or the diffusion magnitude. The MONTE provides PDE-based restoration models with an effective mechanism for the equalization of the net diffusion over a wide range of image frequency components. It can be easily applied to diverse evolutionary PDE-based restoration models and their spatial and temporal discretizations. It has been numerically verified that the MONTE results in a significant reduction in numerical dissipation and preserves fine structures such as edges and textures satisfactorily, while it removes the noise with an improved efficiency. Various numerical results are shown to confirm the claim.

Computational modeling of buried blast-induced ground motion and ground subsidence

  • Zhang, Zhi-Chao;Liu, Han-Long;Pak, Ronald Y.S.;Chen, Yu-Min
    • Geomechanics and Engineering
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    • 제7권6호
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    • pp.613-631
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    • 2014
  • To complement the method of field-scale seismic ground motion simulations by buried blast techniques, the application and evaluation of the capability of a numerical modeling platform to simulate buried explosion-induced ground motion at a real soil site is presented in this paper. Upon a layout of the experimental setup at a level site wherein multiple charges that were buried over a large-diameter circle and detonated in a planned sequence, the formulation of a numerical model of the soil and the explosives using the finite element code LS-DYNA is developed for the evaluation of the resulting ground motion and surface subsidence. With a compact elastoplastic cap model calibrated for the loess soils on the basis of the site and laboratory test program, numerical solutions are obtained by explicit time integration for various dynamic aspects and their relation with the field blast experiment. Quantitative comparison of the computed ground acceleration time histories at different locations and induced spatial subsidence on the surface afterwards is given for further engineering insights in regard to the capabilities and limitations of both the numerical and experimental approaches.

터널 환기용 제트홴의 성능 향상을 위한 수치최적화 (Numerical Optimization for Performance Improvement of a Tunnel Ventilation Jet fan)

  • 김준형;김진혁;김광용;윤준용;최영석;양상호
    • 한국유체기계학회 논문집
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    • 제14권5호
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    • pp.63-68
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    • 2011
  • This paper presents an optimization procedure for performance improvement of a tunnel ventilation jet fan. Optimization techniques based on response surface approximation (RSA) are employed to improve the aerodynamic performance of a tunnel ventilation jet fan. For numerical analysis, three-dimensional Renolds- averaged Navier-Stokes (RANS) equations with shear stress transport turbulence model are discretized by using finite volume approximations and solved on hexahedral grids to evaluate the total efficiency at the operating condition as the objective function. Four geometric variables defining the meridional length and the thickness profile at the hub and shroud in the jet fan rotor are selected as design variables for the numerical optimization. The results of the numerical optimization show that the total efficiency of the optimized model is significantly improved in comparison with the base model.

강내탄도의 전산해석 기초 기법의 연구 (Study on Fundamental Technique for Numerical Analysis of Interior Ballistics)

  • 성형건;박솔;홍기철;노태성;최동환
    • 한국추진공학회지
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    • 제12권6호
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    • pp.12-20
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    • 2008
  • 강내탄도 전산해석 코드 개발을 위한 효율적인 방안과 수치 기법에 관해 연구하였다. 탄자이동에 의한 이동경계면에 대한 수치 해석 기법은 자유 피스톤 운동 문제를 통해서 비교 검증하였다. 강내탄도의 초기 연소를 수치적으로 계산하여 고체추진제의 연소와 기공률 효과에 의한 압력구배를 예측할 수 있었다. 본 연구를 통해서 강내탄도 전산 해석 코드 개발에 관한 방안과 기초 기법에 대한 전산화 기술을 확보하였다.

Numerical simulation of an adobe wall under in-plane loading

  • Nicola, Tarque;Guido, Camata;Humberto, Varum;Enrico, Spacone;Marcial, Blondet
    • Earthquakes and Structures
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    • 제6권6호
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    • pp.627-646
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    • 2014
  • Adobe is one of the oldest construction materials that is still used in many seismic countries, and different construction techniques are found around the world. The adobe material is characterized as a brittle material; it has acceptable compression strength but it has poor performance under tensile and shear loading conditions. Numerical modelling is an alternative approach for studying the nonlinear behaviour of masonry structures such as adobe. The lack of a comprehensive experimental database on the adobe material properties motivated the study developed here. A set of a reference material parameters for the adobe were obtained from a calibration of numerical models based on a quasi-static cyclic in-plane test on full-scale adobe wall representative of the typical Peruvian adobe constructions. The numerical modelling, within the micro and macro modelling approach, lead to a good prediction of the in-plane seismic capacity and of the damage evolution in the adobe wall considered.

A review of experimental and numerical investigations about crack propagation

  • Sarfarazi, Vahab;Haeri, Hadi
    • Computers and Concrete
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    • 제18권2호
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    • pp.235-266
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    • 2016
  • A rock mass containing non-persistent joints can only fail if the joints propagate and coalesce through an intact rock bridge. Shear strength of rock mass containing non-persistent joints is highly affected by the both, mechanical behavior and geometrical configuration of non-persistent joints located in a rock mass. Existence of rock joints and rock bridges are the most important factors complicating mechanical responses of a rock mass to stress loading. The joint-bridge interaction and bridge failure dominates mechanical behavior of jointed rock masses and the stability of rock excavations. The purpose of this review paper is to present techniques, progresses and the likely future development directions in experimental and numerical modelling of a non-persistent joint failure behaviour. Such investigation is essential to study the fundamental failures occurring in a rock bridge, for assessing anticipated and actual performances of the structures built on or in rock masses. This paper is divided into two sections. In the first part, experimental investigations have been represented followed by a summarized numerical modelling. Experimental results showed failure mechanism of a rock bridge under different loading conditions. Also effects of the number of non-persistent joints, angle between joint and a rock bridge, lengths of the rock bridge and the joint were investigated on the rock bridge failure behaviour. Numerical simulation results are used to validate experimental outputs.