• Title/Summary/Keyword: 차분법

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A Design of Self-Acting Air Lubricated Spindle (공기동압 스핀들의 설계)

  • Song, Museok;Jang, Dong-Seob;Lee, Young-Ze
    • Tribology and Lubricants
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    • v.12 no.2
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    • pp.41-47
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    • 1996
  • 고속에서 작동하는 공기동압 스핀들을 개발하기 위해 축방향 하중을 포함하여 설계와 관련된 문제들을 살펴보았다. 협곡이론에 근거한 지배방정식을 사용하였고, 차분법을 사용하여 해석하였다. 설계인자인 홈의 형상, 홈의 각도, 회전수, 그리고 편심량 등을 사용하여 축방향과 원주방향의 압력분포를 수치해석적으로 구하였다.

해쉬함수에 대한 충돌쌍 탐색 공격의 동향

  • Sung Soo-Hak
    • Review of KIISC
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    • v.16 no.4
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    • pp.25-33
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    • 2006
  • 중국의 Wang 교수 등은 2004년부터 차분 공격을 이용하여 대표적인 해쉬함수인 MD4, MD5, RIPEMD, HAVAL, SHA-0에 대한 충돌쌍을 찾았다. 그들은 아직까지 SHA-1에 대한 충돌쌍을 찾지는 못했지만 생일 공격보다 빠른 방법으로 SHA-1의 충돌쌍을 찾을 수 있음을 이론적으로 보였으며 58단계 SHA-1(SHA-1의 전체는 80단계)에 대해서는 구체적인 충돌쌍을 찾았다. 본 논문에서는 Wang 교수 등이 개발한 차분 공격법에 대해서 살펴보기로 한다.

Application of Channel Routing Model by Taylor-Galerkin Finite Element Method -Modeling of Flow in Flood- (테일러-갤러킨 유한요소법에 의한 하도추적 모형의 적용 -홍수시 하천 유량 모의-)

  • Lee, Hae-Gyun
    • The Journal of the Korea Contents Association
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    • v.11 no.1
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    • pp.404-410
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    • 2011
  • For the simulation of one-dimensional unsteady flow, the Taylor-Galerkin finite element method was adopted to the discretization of the Saint Venant equation. The model was applied to the backwater problem in a single channel and the flood routing in dendritic channel networks. The numerical solutions were compared with previously published results of finite difference and finite element methods and good agreement was observed. The model solves the continuity and the momentum equations in a sequential manner and this leads to easy implementation. Since the final system of matrix is tri-diagonal with a few additional entry due to channel junctions, the tri-diagonal matrix solution algorithm can be used with minor modification. So it is fast and economical in terms of memory for storing matrices.

Analysis of Sloshing Problem by Numerical Method (수치기법을 이용한 Sloshing 문제의 해석)

  • Y.H. Kim;Y.J. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.3
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    • pp.33-44
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    • 1992
  • In the present paper, three types of analytic and numerical method are applied to the analysis of sloshing problem. Analytic solution with linear free-surface boundary condition is introduced and numerical methods are used to analyze flued flow trapped in two-and three-dimensional tanks. Source-distribution method is applied to two- and three-dimensional rectangular tanks and sphere tank. Finite difference method is utilized to compute fluid motion and pressure evolution in two dimensional tanks with girders or slopes. Calculated results are compared with those of experiment or other numerical techniques.

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Analysis of Anisotropic Laminated Cylindrical Shells with Shear Deformation (전단변형을 고려한 비등방성 원통형 쉘의 해석)

  • Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.11 no.4 s.41
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    • pp.373-384
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    • 1999
  • The shell structures with composite materials have the advantages in strength, corrosion resistance, and weight reduction. The objective of this study is to analyze anisotropic composite circular cylindrical shells with shear deformation theory. In applying numerical methods to solve differential equations of anisotropic shells, this paper use finite difference method. The accuracy of the numerical method can be improved by taking higher order of interval ${\Delta}$ to reduce error. This study compares the results of finite difference method with the results of ANSYS based on finite element method. Several numerical examples show the advantages of the stiffness increasement when the composite materials aroused. Therefore, it is expected that results of this study give various guides for change of the subtended angles, load cases, boundary conditions, and side-to-thickness ratio.

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Intrinsically Extended Moving Least Squares Finite Difference Method for Potential Problems with Interfacial Boundary (계면경계를 갖는 포텐셜 문제 해석을 위한 내적확장된 이동최소제곱 유한차분법)

  • Yoon, Young-Cheol;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.5
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    • pp.411-420
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    • 2009
  • This study presents an extended finite difference method based on moving least squares(MLS) method for solving potential problems with interfacial boundary. The approximation constructed from the MLS Taylor polynomial is modified by inserting of wedge functions for the interface modeling. Governing equations are node-wisely discretized without involving element or grid; immersion of interfacial condition into the approximation circumvents numerical difficulties owing to geometrical modeling of interface. Interface modeling introduces no additional unknowns in the system of equations but makes the system overdetermined. So, the numbers of unknowns and equations are equalized by the symmetrization of the stiffness matrix. Increase in computational effort is the trade-off for ease of interface modeling. Numerical results clearly show that the developed numerical scheme sharply describes the wedge behavior as well as jumps and efficiently and accurately solves potential problems with interface.

Development of Computational Model for Looped Network Channel (폐합형 수계에 대한 수리학적 계산모형 개발)

  • Koo, Kang Min;Ju, Kyung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.387-387
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    • 2015
  • 최근 기후변화에 따른 국지성 집중호우 및 돌발홍수 증가로 도심지역에 많은 침수 피해가 발생하고 있다. 본 연구는 이러한 내외수에 영향을 받는 도시 중소하천의 침수 저감을 위하여 침수 예측모형에 적용 가능한 수리학적 계산모형을 개발하는 것이다. 일반적으로 자연하천은 수지형 수계가 대부분이며, 도시 우수관로와 관계배수 시스템 등은 폐합형 수계에 포함되어 수지형 계산모형으로는 도시 중소하천의 유출 모의를 할 수 없다. 폐합형 수계의 계산모형은 수지형에 비해 복잡하지만, 적용대상 수계가 폐합형이 아닌 경우에도 합류점의 유입량을 처리하기가 편리하고, 역방향의 월류 흐름이 존재하는 감조하천에서의 월류 흐름 모의가 가능한 장점을 갖고 있어 도시 내배수 시스템은 물론 자연하천에도 적용 할 수 있다. 본 모형은 절점, 수로 및 계산점으로 구성되는데 동력학적 방법인 1차원 Saint-Venant의 연속 방정식과 운동량 방정식에 수치해법을 이용하여 구하고자 하는 시간과 지점의 수위와 유량을 계산할 수 있게 구성하였다. 수치해법으로는 가장 보편적으로 사용되는 유한차분법 중 안정성과 정확성이 우수한 것으로 평가된 Preissmann의 4점 음해법으로 차분방정식에 Newton-Raphson 방법을 사용하여 유량과 수위 보정치에 Double Sweep 알고리즘을 적용하였다. 유한차분법은 안정성 문제를 수반할 수 있기에 시간 증분이 작을수록 Courant 조건을 만족할 수 있다. 모형 비교 검증을 위하여 동력학적 방법을 적용한 대표적인 폐합형 수계모형인 EPA SWMM을 지원하는 CHI사의 PC-SWMM 프로그램을 이용하여 가상의 폐합 수계를 구축하였다. 일반적으로 상류지점의 경계조건은 하류로 추적될 입력 자료로써, 상류지점과 합류지점은 유입되는 유량값을 그리고 하류지점은 유출되는 수위값을 경계조건으로 입력하였다. 운동량방정식의 에너지 경사와 마찰경사 항에 포함된 조도계수는 변화량에 중요한 물리적 요소이지만, 고정 상수값인 0.03을 적용하여 검증에 용의하도록 하였다. 구축된 모형과 PC-SWWM을 통해 산출된 계산점별 수위와 유량에 RMS 오차를 비교한 결과 만족할만한 결과를 얻을 수 있었다. 따라서 향후 내외수를 연계에 침수예측모형에 적용 가능할 것으로 사료된다.

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A Numerical Analysis of Free Surface Wave around a ship (선체주위 자유수면파의 수치해석)

  • Choon-Bum Hong;Seung-Hee Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.3
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    • pp.80-86
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    • 1994
  • A numerical method for simulations of inviscid incompressible flow fields around a ship advancing on the free surface is developed. A body fitted coordinate system, generated by numerically solving elliptic type partial differential equations is used to conform the ship and free surface configurations. Three dimensional Euler equations transformed to the non-staggered body fitted coordinate system are discretised by finite difference method. Time and spatial derivatives are discretised by forward and centered differencings, respectively, and artificial dissipations are added to discretised convection terms for improvements of numerical stability. At each time steps, free surface elevations are recomputed to satisfy nonlinear free surface conditions. Poisson equations for pressure field are solved iteratively and the velocity field for next time step is extrapolated. To verify the developed numerical method, flow fields around a Wigley model are simulated(Fn=0.250-0.408) and compared with experimental data to show good agreements.

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A comparative study on the numerical analysis program by SSI analysis of a high-rise building and an adjacent underground structure (초고층 건물과 인접지하구조물의 SSI 해석을 통한 수치해석 프로그램 비교 연구)

  • You, Kwang-Ho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.21 no.2
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    • pp.211-225
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    • 2019
  • Recently, earthquakes have occurred throughout the entire region of Korea and seismic analysis studies have been actively conducted in various fields. SSI analyses studies considering ground have been carried out consistently. However, few comparative analyses have been performed on the dynamic behavior of buildings according to numerical analysis method in the case of the previous dynamic analyses considering grounds. Therefore, in this study, the dynamic analyses were performed on a high-rise building by using both a finite element program MIDAS GTS NX and a finite difference program FLAC 2D. The results were compared and analyzed each other. As a result, both the maximum compressive and tensile bending stresses of above ground and below ground part were estimated to be a little larger by MIDAS GTS NX than by FLAC 2D. However, the maximum horizontal displacement value, the horizontal displacement distribution, and the position of weak part were turned out to be similar in both analysis programs. Therefore, it can be concluded that there is no difference in using either a finite element program or a finite difference program for the convenience of a user for a dynamic analysis.

Theoretical analysis of quantification of drought frequency inflow series via K-water cumulative difference method (누가차분법을 통한 가뭄 빈도유입량 산정에 관한 이론적 고찰)

  • Kim, Jiheun;Lee, Jae Hwang;Kim, Young-Oh
    • Journal of Korea Water Resources Association
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    • v.55 no.9
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    • pp.701-705
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    • 2022
  • Reliable drought inflow scenarios are required to plan reservoirs in response to the present severe drought-like conditions. However, the previously developed method for generating drought inflows, the K-water cumulative difference method (KCM), is considered inadequate owing to its potential for negative inflow, reversal phenomena, and overestimation. Nevertheless, the occurrence of these aspects has not been theoretically analyzed. Hence, this study employed the quantile function and frequency factor for log-normal and Gumbel distributions to quantify the contributing factors of these limitations. Consequently, it was found that the negative inflows are generated when the difference in the location parameters, during the accumulation process, exceeds that of the scale parameters. In addition, as the standard deviation decrease during the accumulation process, the reversal phenomena, and inflated values prevailed.