• Title/Summary/Keyword: 수치 적분

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Two-Dimensional Analysis of Convection-Dispersion Using Numerical Schme (수치기법을 이용한 확산 - 이송의 2차원 분석)

  • 신응배;서승원
    • Proceedings of the Korea Water Resources Association Conference
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    • 1987.07a
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    • pp.201-214
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    • 1987
  • 하천에서 종, 횡방향이 고려된 확산-이송 현상을 수치기법인 유한요소법을 이용하여 2차원으로 해석하였다. 유한요소법으로는 Galerkin의 가중잔차 방법을 수십에 대해 적분을 취한 연속, 운동량 및 확산-이송방정식에 적용하였고, 선형보간함수와 선형삼각형요소가 이용되었다. 모형의 타당성을 입증하기 위해 단순화된 1차원 수로에서 수차례 검정한 결과 정확해와 거의 일치하는 만족할만한 결과가 도출되었다. 개발된 모형의 실험이 2차원수로에서 행하여져 지류의 유입에 따른 확산-이송현상이 모의되었으며, 실험적용은 개발사업후의 한강본류 9km 구간에 적용되어 탄천과 중량천의 지천 영향을 받는 오염 농도가 2차원적으로 도시되었다.

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양식장 수차의 수치모델 개발 및 적용

  • 강윤호
    • Proceedings of the Korean Society of Fisheries Technology Conference
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    • 2001.05a
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    • pp.307-308
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    • 2001
  • 축제식 양식장 호지의 노령화를 방지하기 위해 수차를 이용하여 호지에 폭기 및 순환작용을 활성화하여 수질과 저질을 개선하는 방법이 널리 사용되고 있다. 본 연구에서는 이차원 수심적분 Reynolds 방정식을 지배방정식으로 하였고 이를 유한차분식으로 이산화한 수치모형(PDM)을 개발하였다. PDM은 수차 1대에 의한 유속발생에 적용하여 수차로부터 l0m 거리마다 층별 유속을 측정한 자료와 비교하여 검증하였다. (중략)

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Calculation of J-Integral by CMOD at Impact Behavior of 3-Point Bend Specimen (삼점 굽힘 시험편의 충격 거동에 있어서의 CMOD에 의한 J-적분의 계산)

  • Cho Jae-Ung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.6 no.6
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    • pp.542-546
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    • 2005
  • The J-integral used as a ductile crack initiation criterion has been discussed for the impact loaded elastic-plastic 3PB specimens. The experimental method to measure or estimate the J-integral history has been investigated and its result has been compared to the obtained elastic-plastic values by the finite element model of this study. These numerical results and the experimental curves are found to agree closely. J-integral can be calculated by only numerical analysis with the finite element model. It is proved that simple calculation can be made in order to find the possible value of J-integral by crack mouth opening displacement(CMOD) in the dynamic nonlinear fracture experiment of 3-point bend(3PB) specimen. The property of elastic-plastic material is considered at different impact velocities. The J-integral may be estimated from the crack mouth opening displacement which can be measured directly kom photographs taken during impact experiments.

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Numerically Efficient Evaluation of MoM Matrix in Conjunction with the Closed-form Green s Functions in Analysis of Multi-layered Planar Structures (다층 평판구조체 해석시 Closed-form 그린함수와 함께한 모멘트 행렬의 효율적인 수치계산)

  • 이영순;김병철;조영기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.1
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    • pp.92-98
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    • 2001
  • When analyzing the scatting problem of multi-layered planar structures using closed-form Green's function, one of the main difficulties is that the numerical integrations for the evaluation of diagonal matrix elements converge slowly and are not so stable. Accordingly, even when the integration fur the singularity of type $e^{-jkr}/{\gamma}$, corresponding to the source dipole itself, is performed using such a method, this difficulty persists in the integration corresponding to the finite number of complex images. In order to resolve this difficulty, a new technique based upon the Gaussian quadrature in polar coordinates for the evaluation of the two-dimensional generalized exponential integral is presented. Stability of the algorithm and convergence is discussed. Performance is demonstrated for the example of a microstrip patch antenna.

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An Installation and Model Assessment of the UM, U.K. Earth System Model, in a Linux Cluster (U.K. 지구시스템모델 UM의 리눅스 클러스터 설치와 성능 평가)

  • Daeok Youn;Hyunggyu Song;Sungsu Park
    • Journal of the Korean earth science society
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    • v.43 no.6
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    • pp.691-711
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    • 2022
  • The state-of-the-art Earth system model as a virtual Earth is required for studies of current and future climate change or climate crises. This complex numerical model can account for almost all human activities and natural phenomena affecting the atmosphere of Earth. The Unified Model (UM) from the United Kingdom Meteorological Office (UK Met Office) is among the best Earth system models as a scientific tool for studying the atmosphere. However, owing to the expansive numerical integration cost and substantial output size required to maintain the UM, individual research groups have had to rely only on supercomputers. The limitations of computer resources, especially the computer environment being blocked from outside network connections, reduce the efficiency and effectiveness of conducting research using the model, as well as improving the component codes. Therefore, this study has presented detailed guidance for installing a new version of the UM on high-performance parallel computers (Linux clusters) owned by individual researchers, which would help researchers to easily work with the UM. The numerical integration performance of the UM on Linux clusters was also evaluated for two different model resolutions, namely N96L85 (1.875° ×1.25° with 85 vertical levels up to 85 km) and N48L70 (3.75° ×2.5° with 70 vertical levels up to 80 km). The one-month integration times using 256 cores for the AMIP and CMIP simulations of N96L85 resolution were 169 and 205 min, respectively. The one-month integration time for an N48L70 AMIP run using 252 cores was 33 min. Simulated results on 2-m surface temperature and precipitation intensity were compared with ERA5 re-analysis data. The spatial distributions of the simulated results were qualitatively compared to those of ERA5 in terms of spatial distribution, despite the quantitative differences caused by different resolutions and atmosphere-ocean coupling. In conclusion, this study has confirmed that UM can be successfully installed and used in high-performance Linux clusters.

Infinite Elements for the Evaluation of Wave Forces (파랑하중 산정을 위한 무한요소)

  • 박우선;윤정방;편종근
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.71-80
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    • 1989
  • In this paper, the concept of the infinite element is applied to the linear wave diffraction and radiation problems. The hydrodynamic pressure forces are assumed to be inertially dominated, and viscous effects are neglected. The near field region surrounding the solid body is modelled using the conventional finite elements, and the far field region is represented using the infinite elements .In order to represent the scattered wave potentials in the far field region more accurately, the infinite elements are developed using special shape functions derived from the asymptotic expressions for the analytical eigenseries solution of the scattered waves. The system matrices of the infinite elements are constructed by performing the integration in the infinite direction analytically to achieve computational efficiency. Numerical analyses are carried out for vertical axisymmetric bodies to validate the infinite elements developed here. Comparisons with the results by other available numerical solution methods show that the present method using the infinite elements gives fairly good results. Numerical experiments are per-formed to determine the suitable location of the infinite elements and the appropriate size of the finite elements which directly affect accuracy and efficiency of the solution.

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Dynamic Algorithm for Solid Problems using MLS Difference Method (MLS 차분법을 이용한 고체역학 문제의 동적해석)

  • Yoon, Young-Cheol;Kim, Kyeong-Hwan;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.2
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    • pp.139-148
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    • 2012
  • The MLS(Moving Least Squares) Difference Method is a numerical scheme that combines the MLS method of Meshfree method and Taylor expansion involving not numerical quadrature or mesh structure but only nodes. This paper presents an dynamic algorithm of MLS difference method for solving transient solid mechanics problems. The developed algorithm performs time integration by using Newmark method and directly discretizes strong forms. It is very convenient to increase the order of Taylor polynomial because derivative approximations are obtained by the Taylor series expanded by MLS method without real differentiation. The accuracy and efficiency of the dynamic algorithm are verified through numerical experiments. Numerical results converge very well to the closed-form solutions and show less oscillation and periodic error than FEM(Finite Element Method).

전기기기의 해석기술

  • 임달호
    • 전기의세계
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    • v.35 no.9
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    • pp.611-619
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    • 1986
  • 전기기기의 해석법에는 첫째로 전기적 등가회로를 구성하여 이를 푸는 회로해석법과, 둘째로 현상을 지배하는 편미분방정식 또는 적분방정식을 적당한 가정하에서 푸는 수치해석법의 두가지가 있다. 그러나 회로해석법의 경우에는 회로망의 구성과 회로정수의 결정이 경험이나 직관에 따르게 되는등 여러가지 이유로 인해 앞으로의 발전을 기대하기가 곤란하다. 한편, 수치해석법의 경우에는 수치계산과정에서 반드시 오차가 수반되므로, 하나의 해석법만으로는 완전한 해석이 곤란하게 된다. 따라서 이 경우에는 문제의 특성에 따라 최적의 결과를 얻을 수 있는 복합적인 해석법이 선택사용되며, 근년의 전자계산기의 발달에 힘입어 전기기기의 해석에 광범위하게 이용되고 있다. 이러한 관점에서 본고에서는 전기기기의 해석에 사용되는 여러가지 수치해석법을 간단히 소개하고, 그중 최선의 방법으로서 가장 널리 연구활용되고 있는 유한요소법에 의한 각종 전기기기의 해석법에 대해 기술하기로 한다.

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