• Korean Journal of Mathematics
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• 제17권3호
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• pp.299-314
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• 2009

We investigate the multiple nontrivial solutions of the asymmetric beam equation $u_{tt}+u_{xxxx}=b_1[{(u + 2)}^+-2]+b_2[{(u + 3)}^+-3]$ with Dirichlet boundary condition and periodic condition on t. We reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions of the equation.

• Korean Journal of Mathematics
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• 제19권4호
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• pp.481-493
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• 2011

We prove a theorem which shows the existence of at least three ${\pi}$-periodic solutions of the wave equation with asymptotical linearity. We obtain this result by the finite dimensional reduction method which reduces the critical point results of the infinite dimensional space to those of the finite dimensional subspace. We also use the critical point theory and the variational method.

• 조명전기설비학회논문지
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• 제19권4호
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• pp.108-116
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• 2005

1계 미분항이 포함되는 미분방정식의 수치해를 구하고자 할 때 중앙차분을 사용한 유한차분법이나 Galerkin법을 사용한 유한요소법은 그 해가 매우 불안하여 요소분할을 세밀하게 하여야만 해를 얻을 수 있다. 이러한 해의 불안 정성이 일어나는 이유는 대류항의 크기가 커질수록 후류에서의 경계조건이 해의 급격한 변화를 요구하는데 수치해가 급격한 변화에 적응하지 못하기 때문이다. 이러한 문제를 해결하기 위해 1970년대부터 upwind법이 개발되어 왔다. 본 논문은 1계 미분항이 표현되는 속도기전력이 발생하는 전자계 문제를 유한요소법을 이용하여 해석할 때 발생하는 해의 진동 문제를 해결하기 위해 Heinrich에 의해 제안된 upwind법을 적용하였다.

• 한국농공학회논문집
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• 제55권2호
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• pp.1-8
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• 2013

This study was performed for the purpose of analyzing the effect of tide on the stress-strain behavior in the boundary surface of sea dike embankment. Tide is a dynamic condition, but there are not suitable numerical models to solve the dynamic embankment condition caused by tide. So the analysis was simplified to quasi dynamic as follow. First, seepage by tide was analyzed according to elapsed time, and the results of the analysis at every hour during one periodic cycle time of 12 hours were applied to the pore water pressure conditions of stress-strain analysis with hyperbolic model by Duncan and Chang. The place at which maximum shear strain took place in the analysis result moved up and down repeatedly along the boundary of the dredged sand fill section and the crashed stone filter section. The value of maximum shear strain was large at high water level of tide. This result means that contraction and relaxation occur in turn repeatedly at every specific position along the boundary, and the repeated action compact loose position with sand moved down from the upper position by gravity. The experiment with the small sea dike model showed the result consistent with the numerical analysis. The surface of sea side on the dike collapsed at high water level after a couple of repetition of the rising and falling of water.

• 한국전산유체공학회지
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• 제11권3호
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• pp.1-7
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• 2006

Euler and Navier-Stokes flow analyses for helicopter rotor in hover were performed as low and high fidelity analysis models respectively for the future multidisciplinary design optimization(MDO). These design-oriented analyses possess several attributes such as variable complexity, sensitivity-computation capability and modularity which analysis models involved in MDO are recommended to provide with. To realize PC-based analyses for both fidelity models, reduction of flow domain was made by appling farfield boundary condition based on 3-dimensional point sink with simple momentum theory and also periodic boundary condition in the azimuthal direction. Correlations of thrust, torque and their sensitivities between low and high complexity models were tried to evaluate the applicability of these analysis models in MDO process. It was found that the low-fidelity Euler analysis model predicted inaccurate sensitivity derivatives at relatively high angle of attack.

• 호남수학학술지
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• 제29권4호
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• pp.723-732
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• 2007

We investigate the existence of solutions u(x, t) for a perturbation b[$(\xi+\eta+1)^+-1$] of the hyperbolic system with Dirichlet boundary condition (0.1) = $L\xi-{\mu}[(\xi+\eta+1)^+-1]+f$ in $(-\frac{\pi}{2},\frac{\pi}{2}\;{\times})\;\mathbb{R}$, $L\eta={\nu}[(\xi+\eta+1)^+-1]+f$ in $(-\frac{\pi}{2},\frac{\pi}{2}\;{\times})\;\mathbb{R}$ where $u^+$ = max{u,0}, ${\mu},\nu$ are nonzero constants. Here $\xi,\eta$ are periodic functions.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
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• pp.1594-1600
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• 2011

본 연구에서는 가장 최근에 NIST(National Institute of Standards and Technology)에서 LES(large eddy simulation)기법을 사용하여 개발한 3D 화재유동 해석용 FDS5의 중요한 기능 중 Werner-Wengle wall law의 성능을 평가하기 위하여 평행 평판에서의 유동을 조사하였다. 격자 형성을 위하여 $y^+$ 값은 11 이상으로 유지하도록 하였으며, 총 사용격자는 $32{\times}32{\times}32$를 사용하였다. 입구와 출구에서는 반복(periodic) 경계조건이 주어졌고, 양측면에서는 대칭(symmetry) 경계조건이 주어졌다. 충분히 발달된 난류에서의 유동조건을 조사하기 위하여 Re=10,700을 사용하였다. 시뮬레이션으로 구하여진 결과는 DNS(Direct Numerical Simulation) 결과 및 이론값과 비교하여 분석하였다. 또한 FDS 결과를 RANS의 난류 유동 해석 결과와도 비교하였다.

• 대한기계학회논문집
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• 제18권10호
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• pp.2751-2761
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• 1994

A numerical investigation on the three-dimensional laminar natural convection heat transfer in the periodically fully developed PCB channel has been performed. When heat generating blocks mounted on the adiabatic wall make a channel with their facing shrouding wall, the flow inside the channel becomes periodically fully developed. A single module in the periodically fully developed region is chosen for computational domain in order to save computer storage and computational time. The periodic boundary condition is applied in the anlaysis. The effects of the parameters such as the Rayleigh number, the number of the modules, and the height of channel are examined to obtain the optimum condition for the enhancement of the cooling effectiveness. The result shows that the cooling effect is improved with increasing Rayleigh number and channel height, and decreasing the number of the module. The result also indicates that increasing the height of the channel and number of the module is recommended for a limited space.

• 한국해안해양공학회지
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• 제13권2호
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• pp.100-108
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• 2001

지진해일 또는 조석과 같은 장파의 거동을 모의할 때 해안선의 위치는 파랑의 움직임에 따라 연속적으로 이동된다. 따라서, 수치모형에 이를 효과적으로 반영하기 위해서는 해안선을 파랑에 따라 이동시켜야 한다. 본 연구에서는 경사지형을 계단지형으로 단순화한 이동경계조건을 이용하여 해일이나 조석에 의한 최대범람구역을 결정한다. 이동경계조건을 이용하여 특정지역의 최대범람구역을 결정한 후 기존의 관측자료와 비교하였으며, 결정된 최대범람구역은 기존의 자료와 잘 일치한다.

• 한국전산유체공학회지
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• 제18권4호
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• pp.17-24
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• 2013

In this study, we consider the characteristics of channel flow in the presence of an infinite streamwise array of equispaced identical rotating circular cylinders. This flow configuration can be regarded as a model representing a micro channel or an internal heat exchanger with cylindrical vortex generators. A numerical parametric study has been carried out by varying Reynolds number based on the bulk mean velocity and the cylinder diameter, and the gap between the cylinders and the channel wall for some selected angular speeds. An immersed boundary method was employed to facilitate implementing the cylinders on a Cartesian grid system. No-slip condition is employed at all solid boundaries including the cylinders, and the flow is assumed to be periodic in the streamwise direction. The presence of the rotating circular cylinders arranged periodically in the streamwise direction causes a significant topological change of the flow, leading to increase of mean friction on the channel walls. More quantitative results as well as qualitative physical explanations are presented to justify the effectiveness of rotating cylinders to modify flow topology, which might be used to enhance heat transfer on the channel walls.