• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.33 no.10
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• pp.26-34
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• 2005

In this paper, a novel moving least squares interface welding method is proposed to carry out the coupled analysis of whole model composed of independently modeled finite element substructures with nodal mismatching interfaces. To verify the validity, and efficiency of the proposed interface welding method, various numerical examples are worked out including patch tests, convergence tests, and examples of coupled analyses of the structural systems with mismatching substructures. From the numerical tests, it is confirmed that one can efficiently carry out the coupled analysis of whole model composed of mismatching finite element substructures through the proposed method without any remeshing or any additional unknown.

• Korean Journal of Logic
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• v.14 no.1
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• pp.23-54
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• 2011

In this paper, I introduce what Boundary-Shifting theories of vagueness (or Contextualism about vagueness) are and what the Context-Fixing Argument is, which is the most powerful and plausible objection to Boundary-Shifting theories. The basic idea of the Context-Fixing Argument is that vagueness still remains even if we hold the context fixed. Many objections based on this simple idea can be found in the literature on Boundary-Shifting theories. It seems that, without a convincing response to the Context-Fixing Argument, Boundary-Shifters must be in trouble. But, oddly, defenders of Boundary Shifters have said very little about this matter. In this situation, ${\AA}$kerman and Greenough try to defend Boundary-Shifting theories of vagueness by suggesting several answers. In this paper, I critically examine their suggestions and develop a new answer to the Context-Fixing Argument.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2007.11a
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• pp.229-232
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• 2007

A numerical method for the moving boundary required in analysis of the combustion phenomenon of the solid propellant has been studied. The ghost cell extrapolation has been used in the Eulerian coordinate system. The Lagrangian method has been used in Non-Eulerian coordinate system. Results of the numerical analysis were verified by comparing to theoretical results of 1-D free-moving piston in the pipe.

• Journal of the KSME
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• v.24 no.4
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• pp.275-283
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• 1984

유한요소기법은 원만한 온도변화를 갖는 이동경계문제에 대해 적용할 수 있음을 설명하였다. 상변화가 일어나는 요소에서 어느 한 시간 단계에 변화할 수 있는 온도의 범위는 상변화 온도 구간 보다 적어야 원만한 수치해를 얻을 수 있음을 소개하였다. 잠열의 효과를 엔탈피의 온도에 대한 변화율로 처리하여 열용량 행렬을 계산할 수 있음을 설명하였다. 급격한 변화를 갖는 온 도분포를 수치적으로 근사해를 구할 때 나타나는 파동형상은 연속적인 변수를 부분적으로 근사 해를 가정 하는데서 포함되는 오차에 기인한다. 따라서 이러한 급격한 변화의 변수를 취급하는 기법이 요구된다. 상변화를 수반하는 이동경계문제는 물의 결빙금속의 열처리, 용접, 고체연료의 연소 등에서 많이 접하게 되나 전문적인 프로그램이 없으므로(저자가 조사한 바에 의하면) 온 도분포를 요구하는 문제에서는 이의 선결이 요망되고 있다. 특히 구조해석문제에서 시간에 따라 온도조건이 변화는 경우가 많아 온도분포에 대해 따로 계산하고 그 후 구조해석을 하는 방법이 있으나, 이는 상변화와 같은 물성의 큰 변화가 없는 경우에만 가능하다. 따라서 상변화가 있는 문제에서 열탄성(thermo-elasticity)이나 열탄소성(thermoelasto-plasticity)해석을 하기 위해서는 이동경계와 구조해석을 동시에 하여야 한다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.22 no.5
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• pp.411-420
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• 2009

This study presents an extended finite difference method based on moving least squares(MLS) method for solving potential problems with interfacial boundary. The approximation constructed from the MLS Taylor polynomial is modified by inserting of wedge functions for the interface modeling. Governing equations are node-wisely discretized without involving element or grid; immersion of interfacial condition into the approximation circumvents numerical difficulties owing to geometrical modeling of interface. Interface modeling introduces no additional unknowns in the system of equations but makes the system overdetermined. So, the numbers of unknowns and equations are equalized by the symmetrization of the stiffness matrix. Increase in computational effort is the trade-off for ease of interface modeling. Numerical results clearly show that the developed numerical scheme sharply describes the wedge behavior as well as jumps and efficiently and accurately solves potential problems with interface.

• Journal of Navigation and Port Research
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• v.27 no.5
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• pp.539-546
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• 2003

The numerical model of the flow analysis by finite element technique is described. The Galerkin method is employed for spatial discretization Two step explicit finite element scheme is used to discretize the time function, which has advantage in problems treating large numbers of elements and unsteady state. Two dimensional hydrodynamic model considering moving boundary condition is developed. Also it applied flow model which develop on flow portion of ideal fluid in the model flume and verified, and the results of this study confirm the efficiency of moving boundary treatment in Jeju harbor. The computed results have shown the good adaptability of moving boundary condition From these studies, it can be concluded that the present method is a useful and effective tool in tidal flow analysis.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.20 no.6
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• pp.779-787
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• 2007

This paper presents a highly efficient moving least squares finite difference method (MLS FDM) for a heat transfer problem of bi-material with interfacial boundary. The MLS FDM directly discretizes governing differential equations based on a node set without a grid structure. In the method, difference equations are constructed by the Taylor polynomial expanded by moving least squares method. The wedge function is designed on the concept of hyperplane function and is embedded in the derivative approximation formula on the moving least squares sense. Thus interfacial singular behavior like normal derivative jump is naturally modeled and the merit of MLS FDM in fast derivative computation is assured. Numerical experiments for heat transfer problem of bi-material with different heat conductivities show that the developed method achieves high efficiency as well as good accuracy in interface problems.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.36 no.11
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• pp.1049-1055
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• 2008

Modern multidisciplinary computational fluid dynamics often incorporates moving boundaries, as would be required in the applications such as design optimization, aeroelasticity, or forced boundary motion. It is challenging to develop robust, efficient grid deformation algorithms when large displacement of the moving boundaries is required. In this paper, a volume grid deformation code is developed based on the finite macro-element and the transfinite Interpolation, and then interfaces to a structured multi-block Navier-Stokes in-house code. As demonstrated by an airfoil with pitching motion, the hysteresis loops of lift, drag and moment coefficients of the developed method are shown to be in good agreement with those of experimental data.

• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.65-65
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• 2011

하천의 하구지역은 유역의 보전, 개발 논의가 매우 다양하게 전개되고 있는 지역으로 개발계획들로 인한 환경변화로 유출 특성 및 유사이동 변화에 따른 정밀한 조사연구를 통한 대처방안을 수립이 필요한 지역이다. 본 논문은 2차원 수치해석이 가능하고 복잡한 해안구조를 포함한 하구지역의 흐름해석이 가능한 MIKE21 FM 프로그램을 통하여 홍수기시의 조위조건변화에 따른 수치해석을 수행하여 자연하구역인 한강하구지역을 중심으로 수위 및 유사이동의 변화 특성을 분석하였다. 첨두유량 발생 시점과 하류경계조건의 변화에 따른 하구지역의 수위변화를 살펴보면, 대상 지역의 하천구간에 해당하는 전류수위표 지점에서 기수역 수로 지점에 비하여 변동폭이 가장 크게 나타났으며, 하류의 외해와 인접할수록 변동폭이 줄어드는 것으로 나타났다. 또한, 대상지역의 상류구간은 하천유량의 영향이 크기 때문에 상류구간일수록 창조시간에 비하여 낙조시간이 길게 분포되는 것으로 나타난다. 유사이동의 특성은 하천의 유속이 크게 감소하는 부분에 퇴적이 발생되며 강화북수로의 단면이 급격하게 변화하는 석모도와 교동도사이의 수로, 염하수로의 입구부분에서는 퇴적층이 발달하는 것으로 나타났다. 따라서, 한강하구와 같이 하구둑이 설치되지 않은 하천의 하구지역에 대해서는 상류와 하류 경계조건의 특성에 따라서 복잡한 수리학적 특성이 발생하기 때문에 개발이나 구조물 축조에 앞서 더욱 많은 현장조사와 특성분석을 통한 보다 정확한 경계조건의 구축이 필요할 것으로 사료된다.

• Journal of Korea Spatial Information System Society
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• v.6 no.2 s.12
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• pp.3-13
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• 2004

The TPR-tree exploits bounding rectangles based on the function of time in order to index moving objects. As time passes on, each edge of a BR expands with the fastest velocity vector. Since the expansion of the BR results in a serious overlaps between neighboring nodes, the performance of range query is getting worse. In this paper, we propose schemes to reorganize bounding rectangles of nodes. When inserting a moving object, we exploit a forced merging scheme to merge two overlapped nodes and re-split it. When deleting a moving object, we used forced reinsertion schemes to reinsert other objects of a node into a tree. The forced reinsertion schemes are classified into a deleted node reinsertion scheme and an overlapped nodes reinsertion scheme. The overlapped nodes reinsertion scheme outperforms the forced merging scheme and the deleted node reinsertion scheme in all experiments.