• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제20권1호
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• pp.83-106
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• 2016

This paper reviews and compares three different methods for modeling incompressible and immiscible ternary fluid flows: the immersed boundary, level set, and phase-field methods. The immersed boundary method represents the moving interface by tracking the Lagrangian particles. In the level set method, an interface is defined implicitly by using the signed distance function, and its evolution is governed by a transport equation. In the phase-field method, the advective Cahn-Hilliard equation is used as the evolution equation, and its order parameter also implicitly defines an interface. Each method has its merits and demerits. We perform the several simulations under different conditions to examine the merits and demerits of each method. Based on the results, we determine the most suitable method depending on the specific modeling needs of different situations.

• 한국전산구조공학회논문집
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• 제36권5호
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• pp.295-305
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• 2023

본 연구에서는 평활화 유한요소법(Smoothed finite element method)을 도입한 위상분야법(Phase-field method)에 대해 소개하고자 한다. 위상분야법은 최근 균열 개시 및 전파 해석에 많이 사용되는 기법으로 균열 표면을 추적하기 위한 추가적인 처리기법이 필요하지 않는 특징이 있다. 위상분야법에서 복잡한 균열 전파를 포착하기 위해 높은 정확도의 변형률 에너지를 평활화 유한요소법을 도입하여 계산하였다. 평활화 유한요소법은 유한요소를 하위 셀로 나누고 각각의 하위 셀을 평활화 영역으로 재조립하여 변형률 에너지를 계산하게 된다. 또한 해석 시간 단축을 위하여 쿼드트리 요소망을 제안한 기법에 사용하였다. 수치 예제를 통하여 제안한 기법을 참조해 및 유한요소법과 비교하여 검증하였다.

• 대한수학회논문집
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• 제22권3호
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• pp.453-464
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• 2007

A computationally efficient numerical scheme is presented for the phase-field model of two-phase systems for anisotropic interfacial energy. The scheme is solved by using a nonlinear multigrid method. When the coefficient for the anisotropic interfacial energy is sufficiently high, the interface of the system shows corners or missing crystallographic orientations. Numerical simulations with high and low anisotropic coefficients show excellent agreement with exact equilibrium shapes. We also present spinodal decomposition, which shows the robustness of the pro-posed scheme.

• 한국생산제조학회지
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• 제6권4호
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• pp.39-45
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• 1997

Shadow moire topography has been used as a noncontact method for measuring the 3-D shapes of objects. The moire fringes are results from the superposition of a master grating and its shadow projected on the surface of an object. But in case of the classical shadow moire method, in general, the resolution is a few tenths of millimeter. It is difficult to use a phase -shifting method in shadow moire because it is impossible to obtain uniform phase shifts on the whole field. But in this study , We introduce a phase-shifting method to improve the resolution of the classical shadow moire method. This method is based on the fact that if the depth of object is much less than the distance between the observer and the master grating, the phase shifts are almost uniform on the whole field area. Finally, we applied this new phase-shifting method to the measurement of the 3-D shape of a coin.

• Structural Engineering and Mechanics
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• 제25권2호
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• pp.181-200
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• 2007

A decoupling technique for simulating near-field wave motions in two-phase media is introduced in this paper. First, an equivalent but direct weighted residual method is presented in this paper to solve boundary value problems more explicitly. We applied the Green's theorem for integration by parts on the equivalent integral statement of the field governing equations and then introduced the Neumann conditions directly. Using this method and considering the precision requirement in wave motion simulation, a lumped-mass FEM for two-phase media with clear physical concepts and convenient implementation is derived. Then, considering the innate attenuation character of the wave in two-phase media, an attenuation parameter is introduced into Liao's Multi-Transmitting Formula (MTF) to simulate the attenuating outgoing wave in two-phase media. At last, two numerical experiments are presented and the numerical results are compared with the analytical ones demonstrating that the lumped-mass FEM and the generalized MTF introduced in this paper have good precision.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2007년도 추계 학술대회논문집
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• pp.243-248
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• 2007

A three-dimensional (3D) unstructured hydrodynamic solver for transient two-phase flows has been developed. A two-fluid three-field model was adopted for the two-phase flows. The three fields represent a continuous liquid, an entrained liquid, and a vapour field. The hydrodynamic solver is for the 3D component of a nuclear system code and the component-scale analysis tools for transient two-phase flows. The finite volume method and unstructured grid are adopted, which are useful for the flows in a complicated geometry. The semi-implicit ICE (Implicit Continuous-fluid Eulerian) numerical scheme has been adapted to the unstructured non-staggered grid. This paper presents the numerical method and the preliminary results of the calculations. The results show that the numerical scheme is robust and predicts the phase change and the flow transitions due to boiling and flashing problems well.

• 대한기계학회논문집B
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• 제29권7호
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• pp.814-819
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• 2005

The phase change heat transfer has been applied to the processes of machines as well as of manufacturing. The cycle in a heat exchanger includes the phase change phenomena of coolant for air conditioning, the solidification in casting process makes use of the characteristics of phase change of metal, and the welding also proceeds with melting and solidification. To predict the phase change processes, the experimental and numerical approaches are available. In the case of numerical analysis, the Enthalpy method is most widely applied to the phase change problem, comparing to the other numerical methods, i.e. the Equivalent Specific Heat method and the Temperature Recovery method. It's because that the Enthalpy method is accurate and straightforward. The Enthalpy method does not include any correction step while the correction of final temperature field is inevitable in the Equivalent Specific Heat method and the Temperature Recovery method. When the temperature field is to be used in the calculation, however, there must be converting process from enthalpy to temperature in the calculation scheme of Enthalpy method. In this study, an improved method for the Equivalent Specific Heat method is introduced whose method dose not include the correction steps and takes temperature as an independent variable so that the converting between enthalpy and temperature does not need any more. The improved method is applied to the solidification process of pure metal to see the differences of conventional and improved methods.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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• pp.146-146
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• 2000

This paper presents field test results of the GPS precise positioning using carrier phase observable. The Least-squares AMBiguity Decorrelation Adjustment(LAMBDA) method is implemented to resolve integer ambiguity problem for two epoch Ll carrier phase measurement data. Field test results show that the GPS precise positioning of cm-level accuracy is obtainable with conventional low cost, single frequency C/A code GPS receivers.

• Investigative Magnetic Resonance Imaging
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• 제15권1호
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• pp.57-66
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• 2011

목적 : 0.35 Teslas의 저자장 자기공명영상 시스템에서 인체 조직의 물 성분 또는 지방 성분의 영상을 얻는데 있어서 주자장의 불균일도를 two-point Dixon 방법을 기반으로 보정하는 새로운 방법을 모색하였다. 대상 및 방법 : Two-point Dixon 방법을 사용하여 물과 지방의 위상이 동상일 때와 역상일 때의 영상들을 얻은 후 그 영상들로부터 위상과 크기의 위상 크기 결합 밀도 함수를 계산하고, 이를 통해 물과 지방의 영역을 분리하여 3차원 볼륨의 물 영역에서의 주자장의 불균일도 패턴을 분석하고 이를 반복적으로 보정하여 주자장의 불균일도를 개선하였다. 결과 : 제안한 영상 기법으로 인체의 여러 부위에서 주자장의 불균일도를 보정한 물과 지방 영상을 얻을 수 있었다. 삼차원 보정을 통하여 멀티 슬라이스 전체 영상에서 균일하게 물 또는 지방만의 영상을 얻을 수 있었다. 결론 : 위상-크기 결합 밀도 함수를 통하여 물과 지방의 영역을 분리할 수 있었고, 이를 이용하여 자장의 불균일도를 분석하고 보정할 수 있었다. 제안한 방법을 통해 주자장의 불균일도가 월등히 개선된 물 또는 지방 영상을 얻을 수 있었다.

• Journal of Power Electronics
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• 제16권3호
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• pp.982-993
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• 2016

A method for the fault-tolerant vector control of star-connected 3-phase Induction Motor (IM) drive systems based on Field-Oriented Control (FOC) is proposed in this paper. This method enables the control of a 3-phase IM in the presence of an open-phase failure in one of its phases without the need for control structure changes to the conventional FOC algorithm. The proposed drive system significantly reduces the speed and torque pulsations caused by an open-phase fault in the stator windings. The performance of the proposed method was verified using MATLAB (M-File) simulation as well experimental tests on a 1.5kW 3-phase IM drive system. This paper experimentally compares the operation of the proposed fault-tolerant vector controller and a conventional vector controller during open-phase fault.