• Proceedings of the Korean Geotechical Society Conference
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• 2000.03b
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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.

• Journal of the Society of Naval Architects of Korea
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• v.47 no.1
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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.

• Korean Institute of Interior Design Journal
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• v.17 no.3
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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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• v.2 no.2
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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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• v.13 no.1_2
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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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• v.27 no.5_6
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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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• v.20 no.10
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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.

• Communications of the Korean Mathematical Society
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• v.34 no.3
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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.

• Communications of the Korean Mathematical Society
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• v.38 no.1
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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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• v.20 no.3
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• pp.179-188
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• 1988

A recently developed spatial differencing scheme, Linear Characteristic (LC) scheme is compared with some traditionally used schemes such as Step Difference (SD), Diamond Difference (DD), and Step Characteristic (SC) scheme by analyzing the truncation error calculated numerically in slab geometry. Those four candidate schemes are applied to one simple source sink problem and two criticality problems (one is calculation of multiplication factor and the other is slab critical half thickness). The calculated results are then examined by some equitable measures of error. It is concluded that the LC scheme is terribly more powerful than any other candidate scheme that has been prevalent up to the present time. Moreover, the LC scheme estimates integral parameter such as multiplication factor and critical half thickness much more efficiently than SD or SC scheme. This is due to the fact that the fortuitous error cancellation, which occurs when the deviations of cell average flux are summed over the whole gamut of spatial meshes, happens much more favorably to the LC scheme.