• Proceedings of the Korean Geotechical Society Conference
• /
• 1997.10a
• /
• pp.365-372
• /
• 1997

• 한국방재학회:학술대회논문집
• /
• 2011.02a
• /
• pp.57-57
• /
• 2011

지진해일은 진행속도가 빠르고 파장이 길며 파형의 변화 없이 먼 거리를 진행 할 수 있어 주변지역은 물론 멀리 떨어진 지역에도 심한 범람피해를 야기시킨다. 지진해일의 일반적인 특징으로 장파와 단파가 합성되어 있고 먼 거리를 전파할 경우 분산효과의 역할이 중요하게 된다. 특히 우리나라의 동해안에 영향을 주는 지진해일은 단주기파 성분이 강하고 파장에 비해 먼 거리를 전파하기에 분산을 고려하는 선형 Boussinesq 방정식을 지배방정식으로 사용하는 것이 바람직하다. 하지만 지금까지의 지진해일 전파모의를 위한 모형은 선형 Boussinesq 방정식의 복잡한 계산과 계산시간이 길다는 단점 때문에 선형 천수방정식을 지배방정식으로 사용하고 분산효과는 수치분산을 이용하여 고려해왔다. 지진해일 해석 시 일반적으로 사용되어 오던 기존의 leap-frog 유한차분 모형(Imamura et al., 1988; 조용식, 1996)은 지배방정식으로 선형 천수방정식을 사용하고 파의 분산효과는 수치분산을 이용하여 고려하므로 정해진 시간 간격에 대해 수심에 따라 격자 간격을 적절히 선택해야 하는데 수심이 복잡하게 변하는 경우 격자간격 조정이 불가능하여 분산효과를 정도 높게 고려할 수 없다. 이 문제점을 해결하기 위하여 윤성범 등(2004)은 파동방정식의 인위적인 분산항을 이용하여 Boussinesq 방정식의 분산효과를 고려할 수 있는 능동적인 분산보정기법을 제안하였고 Cho et al.(2007)는 일정한 수심에서 수치적인 분산오차가 Boussinesq 방정식의 물리적인 분산항을 대체하도록 수심, 격자 간격 및 계산 시간 간격 사이의 관계식을 유도하고 Boussinesq 방정식의 분산항과 일치하는 수치분산을 이용하여 실용적인 분산보정기법을 개발하였다. 이에 Ahn(2010)은 현재 컴퓨터의 계산 능력이 향상되어 선형 Boussinesq 방정식을 직접 차분하여 계산하는데 무리가 없다고 판단하여 선형 Boussinesq 방정식을 직접 차분한 모형을 개발하였다. 본 연구에서는 기존의 원해 지진해일 전파모의에 이용되어왔던 선형 천수방정식에 수치분산을 고려한 모형 대신 선형 Boussinesq 방정식의 유한차분 모형을 제안하였으며 기존의 선형 Boussinesq 방정식 모형의 격자와 수심간의 제약을 없애기 위해 차분 기법을 달리 한 2차 정확도의 유한차분 모형을 제안하였다. 검증을 위하여 선형 Boussinesq 방정식의 해석해(Carrier, 1991)와 비교하였다.

• The Korean Journal of Rheology
• /
• v.5 no.2
• /
• pp.109-124
• /
• 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 the Computational Structural Engineering Institute of Korea
• /
• v.20 no.4
• /
• pp.501-507
• /
• 2007

In the first part of this study, the moving least squares finite difference method for solving solid mechanics problems was formulated. This second part verified the accuracy, robustness and effectiveness of the developed method through several numerical examples. It was shown that the method gives excellent convergence rate for elasticity problem. The solution process of elastic crack problems showed the easiness in discontinuity modeling and demonstrates the accuracy and efficiency in finding singular stress solution based on adaptive node distribution. The applicability to the engineering problem with abrupt change in displacement and stresses gradient fields is verified through a localization band problem. The developed method is expected to be extended to the various special engineering problems.

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

• The Journal of Engineering Geology
• /
• v.11 no.2
• /
• pp.153-161
• /
• 2001

The quantitative evaluation of the stereo graphic projection, the limit equilibrium analysis, the finite difference analysis, the distinct element methocI is a analytical evaluation using many variables. Through the reliability analysis by the point estimation technique, uncertainty of other variables that have an effect on the stability of the rock slo~ was considered. The organized evaluation method of the approximate reasoning concept and using a fuzzy language was developed to confer and analysis the failure factors in planning and constructing the rock slope. Considering the result of the an- alysis, it was demonstrated that stability of entire sections can be evaluated through reliability analysis of point estimation technique. The results of stability evaluation by Fuzzy Approximate Reasoning is generally identical with the results of other existirw; analyses. As mentioned above, general and organized evaluation of special qualities of rock slope is possible using RMR Classification, Stereo Graphic Projection, Limit Equilibriwn Analysis, Finite Difference Analysis, Distinct Element Method, Point Estimation Technique, and Fuzzy Approximate Reasoning.

• Journal of the Korean Society for Nondestructive Testing
• /
• v.20 no.2
• /
• pp.116-129
• /
• 2000

Due to the great complexity of the physical phenomena involved in most ultrasonic nondestructive testing, the numerical method is effective in many cases of their theoretical modeling. A brief overview is provided in this paper of the numerical methods used in modeling ultrasonic nondestructive testing, with an emphasis on the finite difference and the finite element methods. The procedures of execution, special considerations required, and some previous research results of the finite difference and the finite element methods are presented, with a rather extensive list of work reported in the literature. These numerical modeling techniques for ultrasonic nondestructive testing are expected to be more reliable and more convenient, as a result of the continuing technological development of computers.

• Journal of the Institute of Electronics Engineers of Korea SD
• /
• v.41 no.4
• /
• pp.101-112
• /
• 2004

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. Using ADI-FDTD method, a sampler circuit designed from 3.3 V CMOS technology is simplified to 3-metal line structure. Using this simplified structure, the time delay and signal distortion of complex interconnects are investigated. As results of simulation, 5∼10 ps of delay time and 0.1∼0.2 V of signal distortion are measured. As demonstrated in this paper, the full-wave analysis using ADI-FDTD exhibits a promise for accurate modeling of electromagnetic phenomena in high-speed VLSI interconnect.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.22 no.9
• /
• pp.1975-1984
• /
• 1997

In this paper, we analyzed the frequency characteristics and the crosstalk of the adjacent parallel lines and the crossed lines in high-speed packaging interconnections by using the three-dimensional finite difference time domain (3D FDTD) method. To analyze the actual crosstalk phenomena in the transmission of the high-speed digital sgnal, the step pulse with fast rise time was used for the source excitation signal instead of using the Gaussian pulse that is generally used in FDTD. To veify the theoretical resutls, the experimental interconnection lines that were fabricated on the Duroid substrate($\varepsilon_{r}$=2.33, h=0.787 [mm]) were tested by TDR(time domain reflectometry). The results show good agreement between the analyzed results and the tested outcomes.

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.35 no.4
• /
• pp.853-861
• /
• 2015

In this study, FDM modelling with axisymmetry condition and interface element was verified whether it is reasonable to estimate compositive behavior of a piled raft foundation. To this end, the modelling validity of piled raft foundations was estimated by comparing and analyzing numerical analysis results and laboratory model test results. Also, load bearing ratio of a raft is analyzed by performing sensitivity analysis of foundation parameters with the actual field conditions. As a result of this study, correlation between bearing capacity and vertical displacement of numerical results turned out to be similar with that of a laboratory model test. In addition, ultimate bearing capacity of piled rafts and load bearing ratio of the raft is calculated to be similar in both cases. The load bearing ratio of the raft was also estimated to be in the range of 33% to 52% from the sensitivity analysis. The results were confirmed to be similar to the previous studies. Therefore, it can be inferred that piled rafts can be effectively modelled applying axisymmetry condition and interface element.