• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.19 no.4
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• pp.427-435
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• 2008

In this paper, a stable marching-on in time(MOT) method with a time domain combined field integral equation(CFIE) is presented to obtain the transient scattering response from arbitrarily shaped three-dimensional conducting bodies. This formulation is based on a linear combination of the time domain electric field integral equation(EFIE) with the magnetic field integral equation(MFIE). The time derivatives in the EFIE and MFIE are approximated using a central finite difference scheme and other terms are averaged over time. This time domain CFIE approach produces results that are accurate and stable when solving for transient scattering responses from conducting objects. Numerical results with the proposed MOT scheme are presented and compared with those obtained from the conventional method and the inverse discrete Fourier transform(IDFT) of the frequency domain CFIE solution.

• 한국방재학회:학술대회논문집
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• 2010.02a
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• pp.52.2-52.2
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• 2010

본 연구에서는 자유수면의 계산을 위해 동수압을 해석하는 수치모형을 제시하였다. 동수압과 자유수면을 고려하기 위해, 비점성 Navier-Stokes 방정식을 3단계로 나누어 해석하였다. 제1단계에서는 동수압과 자유수면을 전번 시간단계에서 계산된 값으로 대입하여 차분하였으며 이 차분식은 NGMRES(Newton-Generalized Minimal Residual) 방법을 이용해 음해적으로 해석되었다. 이때 계산된 유속장은 연속방정식을 고려하지 않았으므로 각 계산격자에서 질량보존법칙을 만족하지 않을 수도 있다. 제2단계에서 유속과 동수압 보정항으로 이루어진 식을 연속방정식에 대입하여 얻어지는 타원형 방정식인 동수압-포와송 방정식을 해석하므로 여기서 얻어지는 유속은 질량보존법칙을 만족하게 된다. 마지막 3 단계에서는 자유수면과 최종 유속을 계산하였다. 새로 개발된 수치모형을 검증하기위해 정사각형 탱크에서 수면의 자유 진동 문제에 적용한 결과 수치해는 해석해와 잘 일치하였다.

• Proceedings of the Korea Water Resources Association Conference
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• 2007.05a
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• pp.2130-2134
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• 2007

선형 Boussinesq 형태의 파동방정식을 지배방정식으로 사용하는 능동적인 분산보정 지진해일 전파 유한 차분모형의 정확도를 향상시키기 위한 새로운 동시격자접속기법을 개발하였다. 이 격자접속기법은 공간에 대해 3차 보간식을 사용하므로 짧은 파에 대해서 보간에 따른 오차를 최소화할 수 있고, 시간에 대해 2차 보간식을 사용하기 때문에 기존 기법에 비해 더 정확한 값을 얻을 수 있다. 개발된 격자접속기법의 정확성을 평가하기 위해 수중 원형천퇴상을 전파하는 Gaussian 형상의 가상지진에 대해 격자접속기법을 적용하지 않고 계산한 결과와 격자접속기법을 적용하여 계산한 결과를 FUNWAVE에 포함되어 있는 선형화된 Boussinesq방정식에 의해 계산된 수치해와 비교하였다. 그 결과 개발된 동시격자접속기법의 우수함이 검증되었다.

• Proceedings of the Korean Society of Fisheries Technology Conference
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• 2001.05a
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• pp.307-308
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• 2001

축제식 양식장 호지의 노령화를 방지하기 위해 수차를 이용하여 호지에 폭기 및 순환작용을 활성화하여 수질과 저질을 개선하는 방법이 널리 사용되고 있다. 본 연구에서는 이차원 수심적분 Reynolds 방정식을 지배방정식으로 하였고 이를 유한차분식으로 이산화한 수치모형(PDM)을 개발하였다. PDM은 수차 1대에 의한 유속발생에 적용하여 수차로부터 l0m 거리마다 층별 유속을 측정한 자료와 비교하여 검증하였다. (중략)

• Journal of the Korean earth science society
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• v.32 no.6
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• pp.640-653
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• 2011

We simulate the propagation of earthquake waves in the continental margin of Antarctica using the elastic wave modeling algorithm, which is modified to be suitable for acoustic-elastic coupled media and earthquake source. To simulate the various types of earthquake source, the staggered-grid finite-difference method, which is composed of velocity-stress formulae, can be more appropriate to use than the conventional, displacement-based, finite-difference method. We simulate the elastic wave propagation generated by earthquakes combining 3D staggered-grid finite-difference algorithm composed of displacement-velocity-stress formulae with double couple mechanisms for earthquake source. Through numerical tests for left-lateral strike-slip fault, normal fault and reverse fault, we could confirm that the first arrival of P waves at the surface is in a good agreement with the theoretically-predicted results based on the focal mechanism of an earthquake. Numerical results for a model made after the subduction zone in the continental margin of Antarctica showed that earthquake waves, generated by the reverse fault and propagating through the continental crust, the oceanic crust and the ocean, are accurately described.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.1 no.1
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• pp.15-21
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• 1989

A simple numerical refraction model is presented. The model takes into account refraction, shoaling and bottom dissipation. Eikonal equation and equation of energy conservation are discretized by an explicit finite-difference method, which provides wave angle and height at each grid point, respectively. Applications of the model were made to simple geometries as well as complex geometries, and some advantages on computing time and stability have been observed.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.19 no.8
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• pp.1595-1611
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• 1994

In this paper, the numerical wave propagation properties of the finite difference-time domain(FD-TD) method is investigated as a discrete model describing electromagnetic(EM) wave propagation phenomena. The leap-frog approximation of Maxwell's curl equations in time-space simulates EM wave propagation in terms of the numerical characteristic and the domain of dependence. A geometrical interpretation of the FD-TD numerical procedure is presented. The numerical dispersion error due to the leap-frog approximation and its dependence on the stability factor are illustrated. The FD-TD method using the leap-frog approximation is inherently a descriptive model. Thus, not only any physical picture about EM wave propagation phenomena can be drawn through this model, but also physical or engineering parameters in the frequency domain can be extracted from descriptive results. E-plane filter characteristics in the WR-28 rectangular waveguide and reflection property of an inductive iris in the WR-90 rectangluar waveguide extracted from simulation of the FD-TD model is included.

• Journal of the Korean Geotechnical Society
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• v.32 no.12
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• pp.15-22
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• 2016

The magnitude of the lateral resistance that resists the lateral movement of the pile is controlled by the amount of the pile movement and the strength and stiffness of soil. In this paper, we proposed an equation which produces the ultimate lateral resistance of the laterally loaded single pile in sand using the strain wedge model of the soil deformation. The ultimate lateral resistance in strain wedge model is composed of earth pressure of wedge rear, the shear resistance on the side of the wedge, and the frictional resistance between pile and ground. The ultimate lateral resistance determined by the proposed equation was compared with the Ashour, F.D.M., field test in sand. As a result, the error of the proposed equation and Ashour theory, field test, F.D.M were respectively 1.03%, 0.40~3.32%, 6.02%.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1995.06a
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• pp.31-36
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• 1995

본 논문에서는 유한차분법과 뉴우튼-랍슨 방법을 사용하여 타원접촉 EHL 문제를 수치해석하고 그 결과를 H-D의 해석결과 및 그들의 유막두께식과 비교하였다. 최소유막의 크리 뿐만 아니라 중앙부의 유막두께도 H-D이ㅡ 결과와 차이를 보이며, 특히, 하중변화에 대한 중앙부 유막두께는 상당히 크게 차이를 나타내고 있다. 따라서 본 논문에서 구한 정확한 수치해석결과를 사용하면 H-D나 Chittenden 등의 유막두께식에 비하여 EHL 상태에서의 유막두께를 보다 정확하게 예측할 수 있는 새로운 유막두께식을 제시할 수 있을 것으로 생각되며 이를 위해서 추가적인 연구가 요구된다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.20 no.4
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• pp.493-499
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• 2007

The Taylor expansion expresses a differentiable function and its coefficients provide good approximations for the given function and its derivatives. In this study, m-th order Taylor Polynomial is constructed and the coefficients are computed by the Moving Least Squares method. The coefficients are applied to the governing partial differential equation for solid problems including crack problems. The discrete system of difference equations are set up based on the concept of point collocation. The developed method effectively overcomes the shortcomings of the finite difference method which is dependent of the grid structure and has no approximation function, and the Galerkin-based meshfree method which involves time-consuming integration of weak form and differentiation of the shape function and cumbersome treatment of essential boundary.