• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2000년도 봄 학술발표회 논문집
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• pp.631-638
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• 2000

Pioneering work by Terzaghi imparted scientific and mathematical bases to many aspects of this subject and many people use this theory to measure the consolidation settlement until now. In this paper, Finite Difference Methods for consolidation are considered. First, it is shown the stability criterion of Explicit scheme and the Crank-Nicolson scheme, although unconditionally stable in the mathematical sense, produces physically unrealistic solutions when the time step is large. it is also shown that The Fully Implicit scheme shows more satisfactory behavior, but is less accurate for small time steps. and then we need to decide what scheme is more proper to consolidation. The purpose of this paper is to suggest the pertinent scheme to consolidation.

• 대한조선학회논문집
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• 제47권1호
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• pp.11-19
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• 2010

A code is developed to simulate incompressible free surface flows using the Roe's flux-difference splitting scheme. An interface of two fluids is considered as a moving contact discontinuity. The continuities of pressure and normal velocity across the interface are enforced by the conservation law in the integral sense. The fluxes are computed using the Roe's flux-difference splitting scheme for two incompressible fluids. The interface can be identified based on the computed density distribution. However, no additional treatment is required along the interface during the whole computations. Complicated time evolution of the interface including topological change can be captured without any difficulties. The developed code is applied to simulate the Rayleigh-Taylor instability of two incompressible fluids in the density ratio of 7.2:1 and the broken dam problem of water-air. The present results are compared with other available results and good agreements are achieved for the both cases.

• 한국실내디자인학회논문집
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• 제17권3호
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• pp.102-110
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• 2008

The purpose of this study is to find out the characteristics of color preference(interior color preference and general. color preference) and preferred color scheme of the youth and the elderly. This is to proffer basic data for the color planning of the youth and the elderly. The color preference study was carried out with 50 color chips and preferred color scheme study was carried out with 25 interior color scheme. The research was conducted with the youth 50 sample and the elderly 51 sample. The analysis used spss program. The results of this study are as follows;1) In general color perference, most of the youth preferred PB and GY, and the elderly preferred RP. According to tone, two groups preferred pale, bright and vivid tone. 2) In interior color perference, most of the youth preferred GY and Y, and the elderly preferred PB and YR. According to tone, two groups preferred pale tone. Compared with general color perference and interior color perference, the youth had the similarity in preference profile, but the elderly didn', there was the outstanding difference in the perference of B, PB, P and RP. 3) In the preference of interior scheme, two groups preferred GY-analogous harmony1, G-analogous harmony1 and RP-analogous harmony1. According to age, the youth preferred Y-analogous harmony2 and PB-analogous harmony1, and the elderly preferred YR-analogous harmony1 and RP-complementary harmony1. On the whole, two groups more preferred analogous harmony than complementary harmony, and preferred type1(tone difference is slight). But there was the significant difference in analogous harmony of cool color.

• Water Engineering Research
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• 제2권2호
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• pp.75-87
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• 2001

A new moving boundary technique for leap-frog finite difference numerical mode is proposed for the resonable simulation of coastal inundation over discontinuous topography. The new scheme improves the moving boundary technique developed by Imamura(1996). The present scheme is tested using the analytical solution of Thacker(1981) for the case of free oscillation with moving boundary in a parabolic bowl. Finally, a numerical simulation is conducted for the flooding over a tidal barrier constructed on a simple concave geometry. A general feature of inundation over a discontinuous topography is well described by the numerical model.

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.11-27
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• 2003

A fourth order in time and second order in space scheme using a finite-difference method is developed for the non-linear Boussinesq equation. For the solution of the resulting non-linear system a predictor-corrector pair is proposed. The method is analyzed for local truncation error and stability. The results of a number of numerical experiments for both the single and the double-soliton waves are given.

• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1279-1292
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• 2009

In this paper, a numerical method that uses standard finite difference scheme defined on Shishkin mesh for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a discontinuous source term is presented. An error estimate is derived to show that the method is uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented to illustrate the theoretical results.

• Journal of Mechanical Science and Technology
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• 제20권10호
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• pp.1773-1778
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• 2006

Steady-state natural convection heat transfer characteristics from cylinders in a multiply-connected bounded region are clarified. A spectral finite difference scheme (spectral decomposition of the system of partial differential equations, semi-implicit time integration) is applied in numerical analysis, with a boundary-fitted conformal coordinate system through a Jacobian elliptic function with a successive transformation to formulate a system of governing equations in terms of a stream function, vorticity and temperature. Multiplicity of the domain is expressed explicitly.

• 대한수학회논문집
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• 제34권3호
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• pp.1015-1027
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• 2019

A class of systems of singularly perturbed convection diffusion type equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The suggested method is of almost first order convergence. An error estimate is derived in the discrete maximum norm. Numerical examples are presented to validate the theoretical estimates.

• 대한수학회논문집
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• 제38권1호
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• pp.281-298
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• 2023

A class of systems of Caputo fractional differential equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a uniform mesh is proposed. Supremum norm is used to derive an error estimate which is of order κ − 1, 1 < κ < 2. Numerical examples are given which validate our theoretical results.

• Nuclear Engineering and Technology
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• 제20권3호
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• pp.179-188
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• 1988

최근 개발된 유한차분법의 하나인 선형특성 (LC) 법을 절단오차의 분석을 통하여 계단형 차분 (SD)법, 다이아몬드형차분 (DD)법, 그리고 계단형특성 (SC) 법과 비교했다. 제시된 4가지 방법들이 선속 계산문제, 유효증배계수 계산문제, 그리고 임계평판 두께 계산문제에 적용되었으며, 그때 계산된 결과들은 몇몇의 절단오차 측정 기준들에 의해 평가되어졌다. 본 연구의 주요 결론으로, 모든 경우에 있어서 어느 정도 기대했던 바와 같이 선형특성법이 가장 우수하다는 것이 밝혀졌으며, 특히, 선형특성법은 유효증배계수와 임계평판두께 같은 적분 인자들을 정확하게 계산하는데, 이는 선형특성법이 다른 방법들에 비해 오차소거(Error Cancellation)작용이 효과적으로 일어나기 때문으로 밝혀졌다.