• Journal of Korean Society of Steel Construction
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• v.12 no.3 s.46
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• pp.303-315
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• 2000

The main object of this study is to analyze mechanical behaviors as anisotropic three-dimensional body under various static loads. This paper presents the applicability of the finite difference method to three dimensional problem of anisotropic body. The finite difference method as applied here is generalized to anisotropic three-dimensional problem of elastic body where the governing differential equations of equilibrium of such bodies are expressed in terms of the displacement u, v, and w in the coordinates axes x, y and z, care being taken to modify the finite difference expressions to satisfy the appropriate boundary conditions. By adopting a new three dimensional finite difference modelling including elimination of pivotal difference points in the case of free boundary condition, the three dimensional problem of anisotropic body was successfully completed. Several numerical results show quick convergence and numerical validity of finite difference technique in three dimensional problem.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.39 no.8
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• pp.52-63
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• 2002

In this paper, we developed a numerical analysis model by using ADI-FDTD method to analyze three-dimensional interconnect structure. We discretized maxwell's curl equation by using ADI-FDTD. We introduced PML(Perfectly Matched Layer) absorbing boundary condition to solve the effect of the reflected wave at the interface. Evaluating the numerical model of PML and ADI-FDTD, we simulated the electric field distribution in time domain. We compare standard FDTD with ADI-FDTD, and analysis the result.

• The Korean Journal of Rheology
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• v.5 no.2
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• pp.109-124
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• 1993

본 연구의 목표는 임의의 3차원 사출성형 금형 공간내에서 단섬유 강화 플라스틱의 충전 공정에서의 과도기적 섬유방향성을 예측하는 수치해석 프로그램의 개발에 있다. Hele-Shaw 방정식에 단섬유에 의해서 추가된 응력을 고려한 Dinh-Armstrong의 모델을 도 입함으로써 새로운 충전과정의 압력 지배 방정식이 유도되었다. 새로운 압력지배 방정식은 단섬유에 의한 응력 때문에 몇 개의 새로운 항들을 포함하고 있다. 충전 과정의 해석은 새 로운 압력지배방정식과 에너지 방정식을 유한효소법과 유한 차분법을 이용하여 풀고 동시에 배향텐서(roientation tensor)의 변화 방정식을 4차 Runge-Kutta 방법을 이용하여 풀었다. 단섬유 배향 텐서를 텐서의 변환 법칙을 이용하여 임의의 3차원 금형 공간내의 모든유한요 소의 중심에서 두께방향의 모든유한 차분 격자를 따라 계산하였다. 이러한 방법으로 임의의 3차원 사출성형 금형 공간내에서 비등온 충전유동과 과도기적 3차원 섬유배향상태를 서로의 상호작용을 고려하여 수치 모사하여 다양한 유동 형태에 따른 단섬유 배향 상태의 변화에 대하여 알아보고자 한다.

• Journal of Wetlands Research
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• v.10 no.2
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• pp.67-79
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• 2008

The one-dimensional (1D) finite-difference method (FDM) with Abbott-Ionescu scheme and the two-dimensional (2D) finite-volume method (FVM) with an approximate Riemann solver (Osher scheme) for unsteady flow calculation in river are described. The two models have been applied to several problems including flow in a straight channel, flow in a slightly meandering channel and a flow in a meandering channel. The uniform rectangular channel was employed for the purpose of comparing results. A comparison is made between the results of computation on 1D and 2D flows including straight channel, slightly meandering channel and meandering channel application. The implementation of the finite-volume method allows complex boundary geometry represented. Agreement between FVM and FDM results regarding the discharge and stage is considered very satisfactory in straight channel application. It was concluded that a 1D analysis is sufficient if the channel is prismatic and remains straight. For curved (meandering) channels, a 2D or 3D model must be used in order to model the flow accurately.

• Geophysics and Geophysical Exploration
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• v.20 no.3
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• pp.121-128
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• 2017

Interpretation of time-domain electromagnetic (TEM) data has been made mostly based on one-dimensional (1-D) inversion scheme in Korea. A proper interpretation of TEM data should employ 3-D TEM forward and inverse modeling algorithms. This study developed a 3-D TEM modeling algorithm using a finite difference time-domain (FDTD) method with staggered grid. In numerically solving Maxwell equations, fictitious displacement current is included based on an explicit FDTD method using a central difference approximation scheme. The developed modeling algorithm simulated a small-coil source configuration to be verified against analytic solutions for homogeneous half-space models. Further, TEM responses for a 3-D anomaly are modeled and analyzed. We expect that it will contribute greatly to the precise interpretation of TEM data.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.15 no.2
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• pp.341-349
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• 2002

The radar method is becoming one of the major nondestructive testing(NDT) techniques lot concrete structures. Numerical modeling of electromagnetic wane is needed to analyze radar measurement results. Finite difference-time domain(FD-TD) method can be used to simulate electromagnetic wave propagation through concrete specimens. Five concrete specimens with different thickness are modeled in 3-dimension. Radar modeling results compare measurement results to find backface of the concrete specimens and measure thickness of the concrete specimens.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.12 no.4
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• pp.639-648
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• 1999

레이더법은 건축구조물에 대한 비파괴 검사의 대표적인 방법의 하나이다. 레이더법을 이용하는데 영향을 주는 요인들을 연구하고, 레이더로 측정된 결과들을 분석하기 위해서는 전자기파의 전파에 대한 수치적인 모델링을 통한 이론적인 접근이 필요하다. 콘크리트 시편에 전파되는 전자기파를 모델링 하기 위해 유한차분 시간영역법을 적용하고자 한다. 유한차분 시간영역법은 전자파 해석과 모델링을 통한 시뮬레이션에 매우 유용한 방법이다. 본 연구에서는 유한차분 시간영역법을 이용하여 두께가 다른 4개의 시편과 두께는 100㎜로 동일하고 피복두께가 다른 3개의 시편을 3차원으로 모델링 하였다. 두께 측정 모델링 결과에서는 계산영역의 셀간격과 입사파의 파장/콘크리트 시편의 두께값이 모델링의 정확성에 미치는 영향을 알 수 있었다. 철근이 있는 시편의 모델링에서는 0.08%∼0.5%의 오차로 철근의 위치를 확인할 수 있었다.

• Journal of the Society of Naval Architects of Korea
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• v.29 no.3
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• pp.33-44
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• 1992

In the present paper, three types of analytic and numerical method are applied to the analysis of sloshing problem. Analytic solution with linear free-surface boundary condition is introduced and numerical methods are used to analyze flued flow trapped in two-and three-dimensional tanks. Source-distribution method is applied to two- and three-dimensional rectangular tanks and sphere tank. Finite difference method is utilized to compute fluid motion and pressure evolution in two dimensional tanks with girders or slopes. Calculated results are compared with those of experiment or other numerical techniques.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.13 no.3
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• pp.129-138
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• 1993

In this study, the applicability of finite analytic method (FAM) is studied by selecting linearized-Burgers equation and Burgers equation which have convective and diffusive behaviors as the model equation of Navier-Stokes equations and by comparing numerical solution of finite difference method (FDM) and finite analytic method. The results are as follows. It is shown that the convergence of FAM for steady-state analytic solution of linearized-Burgers equation and Burgers equation is better than that of FDM under the same criteria. Also the accuracy of FAM for transient solution of Burgers equation is excellent. Especially, it is shown that oscillation phenomenon due to dispersion errors which occur according to the choice of grid size in FDM does not occur in FAM at all. So, it can be thought that FAM is numerically very stable scheme, which is free from dispersion errors.

• Transactions of the Korean Society of Mechanical Engineers
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• v.14 no.4
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• pp.839-849
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• 1990

본 연구에서는 위와 같은 열 점소성 해석의 여러 수치해석 기법을 첫째, 변형 과 온도 해석을 연계 방식과 비연계 방식으로 계산한 후 결과를 검토하고, 둘째, 온도 해석을 유한 요소법과 유한 차분법으로 계산한 후 각각의 장단점과 효율적 방법을 검 토하는데 목적이 있다.또한 이 결과로 계속적인 3차원 열 점소성 해석 연구수행의 기초를 마련하고자 한다.