• 한국수소및신에너지학회논문집
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• 제20권6호
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• pp.479-484
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• 2009

The effect of anode gas channel height on gas diffusion and cell performance in a 100 $cm^2$ class molten carbonate single cell is investigated. Single cell separators with three different channel height are used. The effect of the gas channel height on the distribution of the reactive gas concentration is evaluated by the two-dimensional concentration diffusion equation. The overpotential caused by concentration drop with different channel height is estimated by the voltage decay related to diffusion of reactants, well known as concentration polarization, using limiting current density. The estimation could have the possibility to identify the reactant mass transfer polarization in the complicate factors of the overall electrodes.

• Bulletin of the Korean Chemical Society
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• 제20권1호
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• pp.35-41
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• 1999

Stability characteristics of hyperbolic reaction-diffusion equations with a reversible Brusselator model are investigated as an extension of the previous work. Intensive stability analysis is performed for three important parameters, Nrd, β and Dx, where Nrd is the reaction-diffusion number which is a measure of hyperbolicity, β is a measure of reversibility of autocatalytic reaction and Dx is a diffusion coefficient of intermediate X. Especially, the dependence on Nrd of stability exhibits some interesting features, such as hyperbolicity in the small Nrd region and parabolicity in the large Nrd region. The hyperbolic reaction-diffusion equations are solved numerically by a spectral method which is modified and adjusted to hyperbolic partial differential equations. The numerical method gives good accuracy and efficiency even in a stiff region in the case of small Nrd, and it can be extended to a two-dimensional system. Four types of solution, spatially homogeneous, spatially oscillatory, spatio-temporally oscillatory and chaotic can be obtained. Entropy productions for reaction are also calculated to get some crucial information related to the bifurcation of the system. At the bifurcation point, entropy production changes discontinuously and it shows that different structures of the system have different modes in the dissipative process required to maintain the structure of the system. But it appears that magnitude of entropy production in each structure give no important information related for states of system itself.

• 대한기계학회논문집
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• 제12권4호
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• pp.865-875
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• 1988

본 연구에서는 부정숙 등에 의한 실험결과를 토대로 하여, 단이 진 2차원 벽 면분류에 대한 수치해석으로 표준 K-.epsilon.모델과 LRM 그리고 PAM을 적용하고, upwind 및 skew-upwind scheme을 적용하여 그 결과를 검토하고자 한다.

• Journal of Advanced Marine Engineering and Technology
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• 제20권5호
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• pp.45-57
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• 1996

Flow characteristics and contamination behavior in a three-dimensional room with the desk-type obstacle have been investigated numerically by the k-${\varepsilon}$ two equation turbulence model. The room model has one supply opening on the ceiling and two exhaust openings on the side walls. Thirty six sets of calculation have been performed for twelve contamination sources of $1{\times}10^{-4}kg_c/(m^3{\cdot}s)$ strength at different inlet velocities(0.1, 1, 10m/s). This study can conclude that the source points of contaminant are located near the obstacle edge of Z-axis, at which the maximum contaminant diffusion fields are occured.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 1994년도 추계학술대회 논문집
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• pp.40-45
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• 1994

The TCAD(Technology Computer Aided Design) software tool is a popular name to be able to simulate the semiconductor process and device circuit. We have developed a two-dimensional TCAD software tool included an editor, parser, each process unit, and 2D, 3D graphic routine that is Integrated Environment. The initial grid for numerical analysis is automatically generated with the geometric series that use the user default(given) line and position separated with grid interval and the nodes corresponding to each mesh point stoic the all the possible attribute. Also, we made a data structure called PIF for input or output. Methods of ion implantation in this paper arc Monte Carlo, Gaussian Pearson and Dual-Pearson. Analytical model such as Gaussian, Pearson and Dual-Pearson were considered the multilayer structure and two-dimensional tilted implantation. We simuttaneously calculated the continuity equation of impurity and point defect in diffusion simulation. Oxidation process was simulated by analytical ERFC(Complementary Error Function) model for local oxidation.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2007년도 춘계학술대회B
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• pp.2165-2170
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• 2007

At nanoscales, the Boltzmann transport equation (BTE) can best describe the behavior of phonons which are energy carriers in crystalline materials. Through this study, the phonon transport in some micro/nanoscale problems was simulated with the Monte Carlo method which is a kind of the stochastic approach to the BTE. In the Monte Carlo method, the superparticles of which the number is the weighted value to the actual number of phonons are allowed to drift and be scattered by other ones based on the scattering probability. Accounting for the phonon dispersion relation and polarizations, we have confirmed the one-dimensional transient phonon transport in ballistic and diffusion limits, respectively. The thermal conductivity for GaAs was also calculated from the kinetic theory by using the proposed model. Besides, we simulated the electrostatic discharge event in the NMOS transistor as a two-dimensional problem by applying the Monte Carlo method.

• 대한토목학회논문집
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• 제2권2호
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• pp.19-28
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• 1982

하구(河口), 항만(港灣) 등에서 응집성(凝集性) 및 비응집성토사(非凝集性土砂)의 이송추정(移送推定)을 위한 이차원토사이송추정모형(二次元土砂移送推定模型)이 개발되었으며 이 모형(模型)은 흐름에 의한 순환모형(循環模型)과 토사이송모형(土砂移送模型)으로 구성된다. 토사이송모형(土砂移送模型)은 이차원확산(二次元擴散) 방정식(方程式)과 연속방정식(連續方程式)으로 이루어진다. 해(解)는 Galerkin 유한요소법(有限尿素法)과 이단계(二段階) Lax-Wendroff 방법(方法)에 의하였다. 이차원수로(二次元水路)의 상이(相異)한 조건하에서 순환(循環)과 토사이송(土砂移送)에 관하여 수치모의(數値模擬) 되었으며 부산항(釜山港)에 적용하여 얻어진 결과중에서 실측치(實測値)와 비교가 가능한 흐름양상(樣相)은 대체로 실측치(實測値)와 근사(近似)하게 나타났다.

• 대한토목학회논문집
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• 제13권2호
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• pp.191-199
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• 1993

정상 2차원 이송확산(移送擴散) 방정식의 수치해석에 의하여 난류전단(亂流剪斷) 흐름에서의 정상(定常) 수평(水平) 선오염원(線汚染源)의 확산(擴散)을 모의하였다. 유속과 난류확산계수(亂流擴散係數)의 수심에 따른 변화가 없을 경우에 대한 해석해와 비교한 결과, 일정 유속 및 난류확산계수(亂流擴散係數)를 가정할 경우 수심방향 확산(擴散)을 과대평가하는 것으로 나타났다. 무차원화된 지배방정식에 따르면 수심방향 확산(擴散)을 지배하는 물리적 변수는 마찰계수(摩擦係數)뿐이다. 마찰계수(摩擦係數)에 대한 확산과정의 민감도(敏感度) 분석(分析)으로부터 수심방향 확산속도(擴散速度)는 대략 마찰계수(摩擦係數)의 제곱근에 비례함을 알 수 있었다. 오염원(汚染源)의 초기 방류위치에 따른 민감도(敏感度) 분석(分析) 결과, 가장 신속한 수심 방향 확산(擴散)을 가져오는 최적의 방류위치는 수심의 중간정보다 위쪽이며, 마찰계수(摩擦係數)가 커질수록 그 위치가 수면쪽에 가까와지는 것으로 나타났다.

• 한국대기환경학회지
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• 제8권3호
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• pp.162-168
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• 1992

Numerical solutions to the advection equations used for long-range transport air pollution models are calculated using three numerical methods; Antidiffusion correction method(Smolarkiewicz, 1983), Positive definite advecton scheme obtained by nonlinear renormalization of the advective fluxes(Bott, 1989), and Positive definite pseudospectral method(Bartnicki, 1989). Accuracy, numerical diffusion and computational time requirement are compared for two-dimensional transport calculations in a uniform rotational flow field. The solutions from three methods are positive definite. Bartnicki(1989)'s method is most conservative but requires approximately 10 times as much computational time as Smolarkiewicz(1983)'s method of which numerical diffusion is the largest. All three methods are more conservative for a cone shape initial condition than for a rectangular block initial condition with a steep gradient.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제13권2호
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• pp.123-140
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• 2009

The effect of a solute concentration difference on the osmotic transport of water through the semi-permeable membrane of a simple cell model is investigated. So far, most studies on osmotic phenomena are described by simple diffusion-type equations ignoring all fluid motion or described by Stokes flow. In our work, as the governing equations, we consider the coupled full Navier-Stokes equations which describe the fluid motion and the full transport equation that takes into account of convection and diffusion effects. A two dimensional finite difference model has been developed to simulate the velocity field, concentration field, and semi-permeable membrane movement. It is shown that the cell swells to regions of lower solute concentration due to the uneven water flux through the semi-permeable membrane. The simulation is applied on a red blood cell geometry and the relevant results are presented.