• 한국전산구조공학회논문집
• /
• 제26권1호
• /
• pp.39-48
• /
• 2013

본 논문은 기존의 1차원 Stefan 문제를 해석할 수 있는 이동최소제곱 차분법을 확장하여 복잡한 계면경계 형상을 갖는 2차원 문제에 적용할 수 있는 수치기법을 개발한다. 1차원 경우와 달리 2차원 영역에서 임의로 움직이는 이동경계의 위상변화를 효과적으로 모델링할 수 있는 기법을 제안했으며, 이동경계 모사시 절점만 사용하는 이동최소제곱 차분법의 강점을 그대로 살리면서 이동경계의 불연속 특이성과 kinetics 조건을 정확하게 만족시키는 이동최소제곱 미분근사식을 제시했다. 평형방정식은 implicit(음해)법으로 차분하여 수치 안정성을 확보했으며, 이동경계는 explicit(양해)법으로 update하여 계산효율성의 극대화했다. 몇 가지 수치예제를 통해 개발된 이동최소제곱 차분법이 다양한 계면경계 형상을 갖는 2차원 Stefan 문제를 정확하고 효율적으로 풀 수 있음을 검증했다.

• 한국전산구조공학회논문집
• /
• 제22권4호
• /
• pp.315-322
• /
• 2009

본 논문은 확장된 이동최소제곱 유한차분법을 이용하여 1차원 Stefan 문제를 해석할 수 있는 새로운 수치기법이 제시한다. 이동하는 계면경계의 자유로운 수치적인 묘사를 위해 요소망이나 그리드 없이 절점만을 사용하는 이동최소제곱 유한차분법을 도입하고, 계면경계의 특이성을 모형화하기 위해 Taylor 다항식에 쐐기함수를 도입하여 확장했다. 지배방정식의 차분은 안정성을 보장해 주는 음해법(implicit method)을 이용한다. 이동경계를 포함한 반무한 융해문제, 실린더 형상의 고체화 문제의 수치해석을 통해 확장된 이동최소제곱 유한차분법이 높은 정확성과 효율성을 갖는 것을 보였다.

• 한국수학교육학회지시리즈D:수학교육연구
• /
• 제8권3호
• /
• pp.175-182
• /
• 2004

The design of learning environments which encourage students to work in a creative manner on mathematical problems is a creative process in itself. The concept of the Saturday University program is described in which pre-service teachers are guided at teaching students in extra-curriculum activities on interdisciplinary topics. In the process of the didactical reconstruction of mathematical problems, the pre-service teachers go through the stages of a revolving door model y.

• Journal of applied mathematics & informatics
• /
• 제14권1_2호
• /
• pp.97-113
• /
• 2004

In this paper we shall study moving boundary problems, and we introduce an approach for solving a wide range of them by using calculus of variations and optimization. First, we transform the problem equivalently into an optimal control problem by defining an objective function and artificial control functions. By using measure theory, the new problem is modified into one consisting of the minimization of a linear functional over a set of Radon measures; then we obtain an optimal measure which is then approximated by a finite combination of atomic measures and the problem converted to an infinite-dimensional linear programming. We approximate the infinite linear programming to a finite-dimensional linear programming. Then by using the solution of the latter problem we obtain an approximate solution for moving boundary function on specific time. Furthermore, we show the path of moving boundary from initial state to final state.

• 대한설비공학회지:설비저널
• /
• 제10권1호
• /
• pp.12-21
• /
• 1981

The Enthalpy Model was verified in order to analyze two- dimensional phase change problems. By using the Enthalpy Model, interface locations, frozen fraction rates, heat flux distribution rut cooled surfaces, and surface-integrated heat flux were purely numerically calculated in rectangular thermal storage units, whose initial condition was saturated liquid and phase change material was cooled on its boundaries by convective heat transfer. The calculations were performed for various Stefan numbers and Biot numbers. The effect on those dimensionless numbers were explained.

• 대한설비공학회:학술대회논문집
• /
• 대한설비공학회 2006년도 하계학술발표대회 논문집
• /
• pp.116-121
• /
• 2006

Numerical simulations for dendritic growth of crystals are conducted in this study by the level set method. The effect of order of difference is tested for reinitialization error in simple problems and authors founded in case of 1st order of difference that very fine grids have to be used to minimize the error and higher order of difference is desirable to minimize the reinitialization error The 2nd and 4th order Runge-Kutta scheme in time and 3rd and 5th order of WENO schemes with Godunov scheme are applied for space discretization. Numerical results are compared with the analytical theory, phase-field method and other researcher's level set method.

• 접착 및 계면
• /
• 제7권4호
• /
• pp.28-31
• /
• 2006

Due to the miniaturization of MEMS and microelectronics the joining techniques also have to be adjusted. The dosing technology with viscous adhesives does not permit reproducible adhesive volumes, which are clearly under a nano-liter. A nano-liter means however a diameter of bonding area within the range of several 100 micrometers. Additional, viscous adhesives need a certain time, until they are cross linked or cured. The problem especially in the MEMS is the initial strength, since it gives the time, which is needed for joining an individual adhesive joint. The time up to the initial strength is with viscous, also with fast curing systems, within the range of seconds until minutes. Until the reach of the initial strength, the micro part must be fixed/held. Without sufficient adjustment/clamping it can come to a shift of the micro parts. Also existing micro adhesive bonding processes are not batch able, i.e. the individual adhesive joints of a micro system must be processed successively. In the context of the WCARP III 2006 now an innovative method is to be presented, how it is possible to solve the existing problems with micro bonding. i.e. a method is presented, which is batch able, possess a minimum joining geometry with some micrometers and is so fast that no problems with the initial strength arise. It is a method, which could revolutionize the sticking technology in the micro system engineering.

• Geomechanics and Engineering
• /
• 제5권6호
• /
• pp.575-594
• /
• 2013

Organic soils exhibit problematic properties such as high compressibility and low shear strength; these properties may cause differential settlement or failure in structures built on such soils. Organic soil removal or stabilization are the most important methods to overcome geotechnical problems related to peat soils' engineering characteristics. This paper presents soil mechanical intervention for stabilization of peat with sand columns and focuses on a comparison between the mechanical characteristics of undisturbed peat and peat stabilized with 20%, 30% and 40% of sand on the laboratory scale. Cylindrical columns were extruded in different diameters through a nearly undisturbed peat sample in the laboratory and filled with sand. By adding sand columns to peat, higher permeability, higher shear strength and a faster consolidation was achieved. The sample with 70% peat and 30% sand displayed the most reliable compressibility properties. This can be attributed to proper drainage provided by sand columns for peat in this specific percentage. It was observed that the granular texture of sand also increased the friction angle of peat. The addition of 30% sand led to the highest shear strength among all mixtures considered. The peat samples with 40% sand were sampled with two and three sand columns and tested in direct shear and consolidation tests to evaluate the influence of the number and geometry of sand columns. Samples with three sand columns showed higher compressibility and shear strength. Following the results of this laboratory study it appears that the introduction of sand columns could be suitable for geotechnical peat stabilization in the field scale.