• Title/Summary/Keyword: FDM(explicit Finite Difference Method)

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Finite element solutions of natural convection in porous media under the freezing process (동결과정을 포함한 다공층에서 자연대류에 대한 유한요소 해석)

  • Lee, Moon-Hee;Choi, Chong-Wook;Seo, Suk-Jin;Park, Chan-Guk
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.51-56
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    • 2000
  • The Finite Element Solutions Is reported on solid-liquid phase change in porous media with natural convection including freezing. The model is based on volume averaged transport equations, while phase change is assumed to occur over a small temperature range. The FEM (Finite Element Method) algorithm used in this study is 3-step time-splitting method which requires much less execution time and computer storage the velocity-pressure integrated method and the penalty method. And the explicit Lax-Wendroff scheme is applied to nonlinear convective term in the energy equation. For natural convection including melting and solidification the numerical results show reasonable agreement with FDM (Finite Difference Method) results.

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A Study on Slope Stability of Corestone (핵석지반의 사면안정성 연구)

  • 이수곤;금동헌
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.551-558
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    • 2000
  • When cut slope is excavated, corestone in cut slope exists 20∼30%. In case of soil and soft rock mixing, people lay out gradient of 1 : 0.5, because of soft rock slope. In a case, slope that exists corestone between soil happens to large landslide. So, As a study performs geological survey, Analysis of slope stability reinforcement measures, etc, A study presents example meaures and analysis on slope stability of corestone.

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Study for the Pertinent Scheme of the One Dimensional FDM Analysis (1차원 압밀 F.D.M 해석의 최적도식(Scheme) 연구)

  • 김팔규;김지호;구기욱;류권일
    • 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.

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Thermal Analysis of Ballscrew Systems by Explicit Finite Difference Method (현시적 유한차분법을 이용한 볼나사 시스템의 열해석)

  • Min, Bog-Ki;Park, Chun-Hong;Chung, Sung-Chong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.1
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    • pp.41-51
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    • 2016
  • Friction generated from balls and grooves incurs temperature rise in the ballscrew system. Thermal deformation due to the heat degrades positioning accuracy of the feed drive system. To compensate for the thermal error, accurate prediction of the temperature distribution is required first. In this paper, to predict the temperature distribution according to the rotational speed, solid and hollow cylinders are applied for analysis of the ballscrew shaft and nut, respectively. Boundary conditions such as the convective heat transfer coefficient, friction torque, and thermal contact conductance (TCC) between balls and grooves are formulated according to operating and fabrication conditions of the ballscrew. Explicit FDM (finite difference method) is studied for development of a temperature prediction simulator. Its effectiveness is verified through numerical analysis.

Derivation of Reverse-Time Migration Operator as Adjoint Operation (어드조인트 연산으로서의 역시간 구조보정 연산자 유도)

  • Ji, Jun
    • Geophysics and Geophysical Exploration
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    • v.10 no.2
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    • pp.111-123
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    • 2007
  • Unlike the conventional reverse time migration method which is implemented by simply extrapolating wavefield in reverse time, this paper presents a derivation of another reverse time migration operator as the exact adjoint of the presumed forward wavefield extrapolation operator. The adjoint operator is obtained by formulating the forward time extrapolation operator in an explicit matrix equation form and then taking the adjoint to this matrix equation followed by determining the corresponding operator. The reverse time migration operator as the exact adjoint to the implied forward operator can be used not only as a migration algorithm but also as an adjoint operator which is required in the imaging through an inversion such as least-squares migration.