• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.22 no.4
• /
• pp.315-322
• /
• 2009

This paper presents a novel numerical method based on the extended moving least squares finite difference method(MLS FDM) for solving 1-D Stefan problem. The MLS FDM is employed for easy numerical modelling of the moving boundary and Taylor polynomial is extended using wedge function for accurate capturing of interfacial singularity. Difference equations for the governing equations are constructed by implicit method which makes the numerical method stable. Numerical experiments prove that the extended MLS FDM show high accuracy and efficiency in solving semi-infinite melting, cylindrical solidification problems with moving interfacial boundary.

• Journal of Korean Society of Steel Construction
• /
• v.11 no.2 s.39
• /
• pp.117-129
• /
• 1999

The objective of this study is to identify the advantages of composite materials and to investigate the behavior of the anisotropic symmetric laminated cylindrical shell structures. To analyze the anisotropic symmetric laminated cylindrical shell structures, the finite difference technique. that consists of forward, central and backward difference, is introduced. In this study, the degree of freedom consists of three displacements and, especially, two moments except twisting moment. It has the advantage of improving the accuracy for calculating the moments. All four edges are assumed to be simply supported. From the numerical results, it is proved that the finite difference technique can be used efficiently to analyze the anisotropic symmetric laminated cylindrical shells and gives a guide in deciding how to make use of the fiber angle the anisotropic symmetric laminated cylindrical shells.

• Journal of Korean Society of Steel Construction
• /
• v.12 no.3 s.46
• /
• pp.303-315
• /
• 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 Computational Structural Engineering Institute of Korea
• /
• v.20 no.3
• /
• pp.321-327
• /
• 2007

This study presents a new gridless finite difference method for solving elastic crack problems. The method constructs the Taylor expansion based on the MLS(Moving Least Squares) method and effectively calculates the approximation and its derivatives without differentiation process. Since no connectivity between nodes is required, the modeling of discontinuity embedded in the domain is very convenient and discontinuity effect due to crack is naturally implemented in the construction of difference equations. Direct discretization of the governing partial differential equations makes solution process faster than other numerical schemes using numerical integration. Numerical results for mode I and II crack problems demonstrates that the proposed method accurately and efficiently evaluates the stress intensity factors.

• Journal of the Korea institute for structural maintenance and inspection
• /
• v.9 no.4
• /
• pp.159-168
• /
• 2005

This study carries out a finite difference nonlinear analysis of anisotropic advanced composite plate structures with various layer sequences. In the numerical analysis of various mechanical problems involving complex partial differential equations, the finite difference method (FDM) developed in this study has an advantage over the finite element method in its ability to avoid mesh generation and numerical integration. Many studies in FDM have been made on clamped or simple boundary conditions using merely an energy approach. These approaches cannot be satisfied, however, with pivotal points along the free boundary. Therefore, this study addresses the nonlinear problem of anisotropic plates by adopting a finite difference modeling elimination of pivotal difference points in the case of a free boundary condition. Complex nonlinear behaviors of composite plate structures for various parameters, especially for layer sequences, are analyzed using the proposed approach.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.22 no.12
• /
• pp.2736-2743
• /
• 1997

In this paper, the extended finite difference time domain(FDTD) algorithm is applied to carry out full-wave analysis of a microwave amplifier circuit. The active device included in the amplifier is modeled by equivalent current sources. Equivalent current sources are characterizing interaction between electronmagnetic waves and active devices and can be directly incorporated into the FDTD algorithm. To confirm this analysis, an amplifier is implemented. The FDTD simulation shows good agreement with measured results.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.15 no.2
• /
• pp.341-349
• /
• 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
• /
• v.12 no.4
• /
• pp.639-648
• /
• 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.

• 한국방재학회:학술대회논문집
• /
• 2010.02a
• /
• pp.107.2-107.2
• /
• 2010

본 연구에서는 지진해일의 전파 과정을 모의함에 있어 선형 천수방정식의 수치분산을 이용하는 기법이 아닌 선형 Boussinesq 방정식을 직접 차분하는 유한차분기법을 제안하였다. 기법의 정확성을 검증하기 위하여 Gauss 분포의 초기 자유수면변위를 갖는 문제에 착용하여 선형 Boussinesq 방정식의 해석해와 비교하였다. 그 결과 기존의 선형 천수방정식을 차분화한 수치모형에 비하여 정확한 결과를 제공하였고 분산보정기법을 이용한 수치모형과 동일한 정확도를 보였으나 본 수치모형을 이용했을 때 계산 효율이 개선되었다.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
• /
• v.11 no.4
• /
• pp.667-673
• /
• 2000

This paper presents the modeling method of nonlinear circuits with lumped elements by using a hybrid Haar -wavelet MRTD/FDTD techniques. To analyze nonlinear circuits with lumped elements, the Haar-wavelet MRTD scheme is applied to the entire structure of interest and the conventional FDTD scheme is locally used to describe the characteristics of the lumped elements. To validate the scheme, microstrip structure with lumped elements and a single diode mixer are simulated.