• Korean Journal of Mathematics
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• 제16권1호
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• pp.25-40
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• 2008

We are concerned with a free boundary problem for the 2D Stokes channel flows, which determines the profile of the wing for the channel, so that the given traction force is to be distributed along the wing of the channel. Using the domain embedding technique, the free boundary problem is transferred into the shape optimization problem through the compliant formulation by releasing the traction condition along the variable boundary. The justification of the formulation will be discussed.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2010년도 제35회 추계학술대회논문집
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• pp.760-763
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• 2010

강내탄도 성능 해석의 정확도를 높이기 위해서 1차원 해석 코드를 2차원 및 3차원으로 확장시키는 작업이 필요하다. 다차원 확장 시 이동경계면 해석에 Cut Cell Method를 적용하였다. 이에 high resolution 기법인 MUSCL-Hancock을 선택하였고 free piston problem에 적용하여 그 타당성을 검증하였다.

• 대한수학회보
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• 제33권4호
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• pp.631-638
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• 1996

The parabolic free boundary problem with Puschino dynamics is given by (see in [3]) $$ (1) { \upsilon_t = D\upsilon_{xx} - (c_1 + b)\upsilon + c_1 H(x - s(t)) for (x,t) \in \Omega^- \cup \Omega^+, { \upsilon_x(0,t) = 0 = \upsilon_x(1,t) for t > 0, { \upsilon(x,0) = \upsilon_0(x) for 0 \leq x \leq 1, { \tau\frac{dt}{ds} = C)\upsilon(s(t),t)) for t > 0, { s(0) = s_0, 0 < s_0 < 1, $$ where $\upsilon(x,t)$ and $\upsilon_x(x,t)$ are assumed continuous in $\Omega = (0,1) \times (0, \infty)$.

• 한국전산구조공학회논문집
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• 제25권5호
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• pp.439-446
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• 2012

본 논문은 1차원 자유경계문제 해석의 정확도 향상을 위해 이동최소제곱 차분법을 이용하여 이동경계의 위상변화를 implicit하게 추적하는 기법을 제시한다. 기존의 이동최소제곱 차분법은 이동경계의 위치를 explicit하게 진전시켜 반복계산은 필요없지만 해의 정확도 감소를 피할 수 없었다. 그러나 본 연구에서 제시한 implicit 기법은 전체 계방정식이 비선형 시스템이 되어 반복계산 과정이 필요하지만, 실제로 수치예제를 통해 검증해 본 결과 계산량의 큰 증가없이 해석의 정확도를 획기적으로 향상시켰다. 이동하는 미분불연속 특이성을 갖는 융해(melting)문제를 수치계산한 결과, implicit 이동최소제곱 차분법을 통해 2차정확도를 얻을 수 있음을 보였다.

• 대한조선학회지
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• 제18권4호
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• pp.1-11
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• 1981

A flow problem around a ship hull with the nonlinear free surface boundary condition has been considered within the potential flow assumption. The Green's function based on the hull boundary condition is constructed numerically and used to satisfy the free surface boundary condition. This singularity to be distributed ideally on the undulating free surface is put actually, for practical reasons, on the flat water surface with the assumption of linear variation of velocities between the two positions. The surfaces of singularity distribution are approximated by Hess and Smith type quadrilaterals. The radiation condition is only crudely satisfied and this produced one of the major difficulties arising in the present way of attacking the problem.

• 대한수학회지
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• 제32권3호
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• pp.389-399
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• 1995

We consider the reaction-diffusion system of two-component model in one-dimensional space described by $$ (1) u_s = d_1 u_{xx} + f(u, \upsilon) \upsilon_t = d_2\upsilon_{xx} + \gammag(u, \upsilon) $$ where $d_1$ and $d_2$ are the diffusion rates of u and $\upsilon$, and $\gamma$ is the ration of reaction rates. It is interesting the case of that there are differences in the diffusion and reaction rates of u and $\upsilon$.

• 대한조선학회논문집
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• 제47권1호
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• pp.1-10
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• 2010

In the present paper, a numerical method based on the constraint interpolation profile (CIP) method is applied for simulating two-dimensional violent sloshing problems. The free surface boundary value problem is considered as a multiphase problem which includes water and air. A stationary Cartesian grid system is adopted, and an interface capturing method is used to trace the shape of free surface profile. The CIP combined unified procedure (CCUP) scheme is applied for flow solver, and the tangent of hyperbola for interface capturing (THINC) scheme is used for interface capturing. Numerical simulations have been carried out for partially-filled 2D tanks under forced sway and roll motions at various filling depths and frequencies. The computational results are compared with experiments and/or the other numerical results to validate the present numerical method.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2008년 영문 학술대회
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• pp.659-665
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• 2008

The 1-D numerical study of the interior ballistics has been conducted. The unsteady compressible 1-D CFD code using SIMPLER algorithm and QUICK scheme has been developed. The mathematical model of the two-phase flow has been established for the behavior of the interior ballistics. The moving boundary due to the projectile motion as the physical phenomena of the interior ballistics results in the varied control volume. In order to analyze the moving boundary, the numerical codes, which apply the ghost-cell extrapolation method and the Lagrangian method respectively, have been developed. The ghost-cell extrapolation method has been used in the Eulerian coordinate system. The Lagrangian method has been used in Non-Eulerian coordinate system. These codes have been verified through the analysis of the free piston motion problem in the tube. Through this study, the basic techniques of the numerical code for the multi-dimensional two-phase flow of the interior ballistics have been obtained.

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.53-65
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• 2003

Here we present a study of small-amplitude, shallow water waves on sloping beds. The beds considered in this analysis are linear and quadratic in nature. First we start with stating the relevant governing equations and boundary conditions for the theory of water waves. Once the complete prescription of the water-wave problem is available based on some assumptions (like inviscid, irrotational flow), we normalize it by introducing a suitable set of non-dimensional variables and then we scale the variables with respect to the amplitude parameter. This helps us to characterize the various types of approximation. In the process, a summary of equations that represent different approximations of the water-wave problem is stated. All the relevant equations are presented in rectangular Cartesian coordinates. Then we derive the equations and boundary conditions for small-amplitude and shallow water waves. Two specific types of bed are considered for our calculations. One is a bed with constant slope and the other bed has a quadratic form of surface. These are solved by using separation of variables method.

• 대한전자공학회논문지SP
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• 제42권6호
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• pp.99-110
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• 2005

효과적인 영상의 압축을 위하여 여러 가지 기법들이 연구되고 있는데, 그 중에 2 차원 필터링은 2 차원 영상 처리를 위해 많이 사용되고 있다. 2 차원 영상 필터링은 수평과 수직 방향으로 각각 1 차원 선형 필터를 수행함으로서 구현할 수 있으며, 필터링 방법에 따라 압축 효율에 많은 영향을 미치게 된다. 일반적으로 순환 콘볼루션을 이용한 필터링 기법은 영상을 감축하는데 가장 많이 사용되고 있는데, 경계 부분에서의 상관성 등이 전혀 고려되지 않기 때문에 필터링 효율이 떨어지는 문제를 가지고 있다. 이러한 문제를 해결하기 위하여 본 논문에서는 루프 콘볼루션을 이용한 필터링 기법을 제안 하였다. 제안된 필터링 기법은 경계 부분의 필터링 시 상관성이 높은 데이터를 이용하기 때문에 필터링의 효율을 높일 수가 있다. 제안된 필터링의 효율을 정확하게 분석하기 위하여 대역분할 부호화에 적용하였고, 자바 기반의 시뮬레이터를 사용하여 성능을 평가하였다.