• 제목/요약/키워드: multidimensional finite element model

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경수로 핵연료 열-구조 연계 해석을 위한 다차원 간극 열전도도 모델 개발 (Development of Multidimensional Gap Conductance Model for Thermo-Mechanical Simulation of Light Water Reactor Fuel)

  • 김효찬;양용식;구양현
    • 대한기계학회논문집A
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    • 제38권2호
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    • pp.157-166
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    • 2014
  • 경수로 핵연료가 원자로내에서 연소되는 동안 핵연료 펠릿에서부터 피복관까지 온도해석은 핵연료 안전 해석에 있어 중요한 요소이며, 경수로 핵연료 온도 해석을 하기 위해서는 간극 모델 개발이 필수적이다. 간극 열전도도는 특성상 간극 두께값에 의존적이게 되며 이러한 특성으로 인해 다차원 간극 열전도도 모델이 비선형적 거동을 보인다. 본 연구에서는 선형화된 다차원 간극 열전도도 모델 개발을 위해 가상 연결 간극 요소를 제안하였다. 제안된 간극 연결 요소에 간극 열전도도를 적용하기 위해 등가 열전달 계수를 정의하였다. 제안된 모듈을 평가하기 위해 상용코드 ANSYS APDL 을 이용하여 열-구조 연계 해석 모듈을 구현하였으며, 다양한 예제를 통해 정확성과 수렴성을 평가하였다.

다차원 유한요소법을 이용한 웹 기반의 범용적 편미분 방정식 해석 모형의 개발 및 적용 - I. 모형의 개발 - (Web based General Partial Differential Equation Solver using Multidimensional Finite Element Method - I. Model Development -)

  • 김준현;한영한
    • 환경영향평가
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    • 제10권4호
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    • pp.319-326
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    • 2001
  • This study is aimed at the development of a comprehensive web-based partial differential equation solver (WPDES) using multidimensional finite element method, which can be operated on the basis of world wide web. Overall issues of engineering and environmental information management and facility control could be implemented using this solver. This paper describes the development technique of the model, which is first part on development of partial differential equation solver. Conventional commercial general solver of computational fluid dynamics problems were investigated. All the relevant environmental models were analyzed to develop integrated environmental management system using WPDES. The governing equations and the parameters of investigated models were analyzed and integrated. Several numerical modules were invented for each partial differential term in partial differential equation of many related modeling problems. Each module was coded in the fashion of object oriented method, and was combined independently for the overall governing equation. WPDES has unique characteristic, which can analyze the problem through the suitable combination of modules without development of additional models for each environment problem with different governing equation, main variables, and parameters.

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Application of Reaction Path Smoluchowski Equation Formalism to the Photoisomerization of Trans-Stilbene

  • Kim, Dong-Sup;Lee, Sang-Youb
    • Bulletin of the Korean Chemical Society
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    • 제12권6호
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    • pp.692-698
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    • 1991
  • The reaction path Smoluchowski equation approach developed in a recent work to calculate the rate constant for a diffusive multidimensional barrier crossing process is extended to incorporate the configuration-dependent diffusion matrix. The resulting formalism is then applied to the investigation of stilbene photoisomerization dynamics. Adapting a model two-dimensional potential and a model diffusion matrix proposed by Agmon and Kosloff [J. Phys. Chem.,91 (1987) 1988], we derive an eigenvalue equlation for the relaxation rate constant of the stilbene photoisomerization. This eigenvalue equation is solved numerically by using the finite element method. The advantages and limitations of the present method are discussed.

다중 다상이론을 이용한 통합적 지하수 모델링: 1. 다차원 유한요소 모형의 개발 (A Comprehensive Groundwater Modeling using Multicomponent Multiphase Theory: 1. Development of a Multidimensional Finite Element Model)

  • Joon Hyun Kim
    • 한국토양환경학회지
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    • 제1권1호
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    • pp.89-102
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    • 1996
  • 지하의 유체 유동 및 물질 변환을 해석하기 위하여 다중다상이론을 이용한 통합 모형을 개발하였다 종합적 지배식은 4개의 상내의 화합물들의 물질 및 힘평형 관계를 고려하여 유도되었다. 복합한 이동 및 변환 현상을 설명하고, 공간적 차원을 변동적으로 나타내기 위하여 관계된 모든 변수 및 식들을 함축적이면서 조직적으로 표현하였다. 도출된 비선형시스템은 다차원 유한요소프로_I램으로서 해를 구하였다. 본 개발된 프로그램은 역동적으로 메모리 용량을 조절하여 일이삼차원 문제를 PC부터 SP2슈퍼컴퓨터까지 여러 종류의 기종에서 해석할 수 있다. 계산시간과 저장용량을 줄이기 위하여 시스템식을 분리시키고, 슈퍼컴의 벡터 및 병렬처리를 이용하여 띠행렬의 해를 구하였다. 유속이 우세한 경우의 수치해석상의 불안정한 문제를 해결하기 위하여 상류가중, 질량묶음, 요소별 파라미터 평가법 등을 적용하였다. 일차원 이동문제에 대하여 유한요소법과 유한차분법의 수치해의 안정성 조건을 검토하였다. 구체적인 지하수 유동 및 오염문제에 대한 모델링 예는 본 논문집의 연계 논문에 수록하였다.

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A Nuclide Decay Chain Transport Model by the Method of Characteristics

  • Lee, Youn-Myoung;Kang, Chul-Hyung;Hahn, Pil-Soo;Chun, Kwan-Sik
    • Nuclear Engineering and Technology
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    • 제29권4호
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    • pp.320-326
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    • 1997
  • The nuclide transport in the one-dimensional porous medium is considered as a first step in developing a decay chain transport in multidimensional inhomogeneous media. A method of solving conventional advection-dispersion equation with decay chain of arbitrary length by using the method of characteristics (MOC) is introduced. In specific cases where the advection are dominant rather than dispersion, the method is known to be useful : one of the most distinctive advantages in applying the model is that the MU minimizes the numerical dispersion, which is distinguished in such common numerical schemes as finite element method and finite difference method. The suggested model is considered to be effective through several illustrations for the case that decay chain of arbitrary length is involved during transport which is difficult to solve by standard numerical solutions if the medium becomes more complicated.

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최적 염소 소독 모형의 개발 및 파라미터 연구 (Development of Optimal Chlorination Model and Parameter Studies)

  • 김준현;안수영;박민우
    • 환경영향평가
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    • 제29권6호
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    • pp.403-413
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    • 2020
  • 최적의 염소 소독 전략을 구축하기 위해 8개의 연립 준선형 편미분방정식으로 구성된 수학적 모형이 제안되었다. 다차원 수치 프로그램을 개발하기 위해 상류 가중 유한요소법을 사용하였다. 프로그램은 세 가지 유형의 반응기에서 측정된 농도에 대해 검증되었다. 16개의 실험 결과에 대해 경계 조건 및 반응 속도를 보정하여 측정된 값을 재생시켰다. 모델링 결과로부터 8개의 반응 속도계수가 추정되었다. 반응 속도계수는 pH 및 온도로 표현되었다. 반응 속도계수를 추정하기 위해 수치 오차의 제곱의 합을 최소화하는 자동 최적 알고리즘의 프로그램을 개발하고 모형에 결합하였다. 최종 사용지에서 염소 및 오염물의 농도를 최소화하기 위해서는 정수장의 염소소독공정으로부터 최종 사용지까지의 수질 변화를 모형에 의해 예측하고 이를 기반으로 유입수 수질에 따라 염소소독공정을 운영하는 실시간 예측 제어 시스템이 필요하다. 본 모형을 이용하여 정수장에 이러한 시스템을 구축할 수 있을 것이다.

Failure estimation of the composite laminates using machine learning techniques

  • Serban, Alexandru
    • Steel and Composite Structures
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    • 제25권6호
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    • pp.663-670
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    • 2017
  • The problem of layup optimization of the composite laminates involves a very complex multidimensional solution space which is usually non-exhaustively explored using different heuristic computational methods such as genetic algorithms (GA). To ensure the convergence to the global optimum of the applied heuristic during the optimization process it is necessary to evaluate a lot of layup configurations. As a consequence the analysis of an individual layup configuration should be fast enough to maintain the convergence time range to an acceptable level. On the other hand the mechanical behavior analysis of composite laminates for any geometry and boundary condition is very convoluted and is performed by computational expensive numerical tools such as finite element analysis (FEA). In this respect some studies propose very fast FEA models used in layup optimization. However, the lower bound of the execution time of FEA models is determined by the global linear system solving which in some complex applications can be unacceptable. Moreover, in some situation it may be highly preferred to decrease the optimization time with the cost of a small reduction in the analysis accuracy. In this paper we explore some machine learning techniques in order to estimate the failure of a layup configuration. The estimated response can be qualitative (the configuration fails or not) or quantitative (the value of the failure factor). The procedure consists of generating a population of random observations (configurations) spread across solution space and evaluating using a FEA model. The machine learning method is then trained using this population and the trained model is then used to estimate failure in the optimization process. The results obtained are very promising as illustrated with an example where the misclassification rate of the qualitative response is smaller than 2%.

전산모형 및 공간정보시스템을 결합한 지하환경관리시스템의 개발 및 적용 (A Subsurface Environment Management System Combining Computational Model and Spatial Information System)

  • 김준현;한영한
    • 환경영향평가
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    • 제10권2호
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    • pp.99-108
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    • 2001
  • This study was performed to develop an information processing system for the sound conservation of soil and groundwater resources. The system contains numerical models and geographic information systems for underground flow and contamination. Multidimensional Finite Element Model for Subsurface Environment (MFEMSE) was invented to analyze underground flow and pollution problems of water and gas phases. Newly developed and conventional models (MODFLOW, MOC3D, MT3D, PMPATH, PEST, UCODE) were integrated with GIS (ArcView) for the construction of an integrated information management system of subsurface environment. This system was applied to the management of three mineral water companies located in clean high mountain basin. Desirable management criteria and operational strategies were suggested using this system. The system was constructed to be applied for the broad sense of decision supporting tools in related topics of this study, so that it can be used not only for the prevention regulations, but also for clean up projects.

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