• Title/Summary/Keyword: Analytical Integration

검색결과 241건 처리시간 0.027초

Temperature change around a LNG storage predicted by a three-dimensional indirect BEM with a hybrid integration scheme

  • Shi, Jingyu;Shen, Baotang
    • Geosystem Engineering
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    • 제21권6호
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    • pp.309-317
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    • 2018
  • We employ a three-dimensional indirect boundary element method (BEM) to simulate temperature change around an underground liquefied natural gas storage cavern. The indirect BEM (IBEM) uses fictitious heat source strength on boundary elements as basic variables which are solved from equations of boundary conditions and then used to compute the temperature change at other points in the considered problem domain. The IBEM requires evaluation of singular integration for temperature change due to heat conduction from a constant heat source on a planar (triangular) region. The singularity can be eliminated by a semi-analytical integration scheme. However, it is found that the semi-analytical integration scheme yields sharp temperature gradient for points close to vertices of triangle. This affects the accuracy of heat flux, if they are evaluated by finite difference method at these points. This difficulty can be overcome by a combination of using a direct numerical integration for these points and the semi-analytical scheme for other points distance away from the vertices. The IBEM and the hybrid integration scheme have been verified with an analytic solution and then used to the application of the underground storage.

탄성지반 위의 축대칭 하중을 받는 원판의 접촉응력 해석에 관한 연구 (The Study on the Determination of the Contact Area of the Circular Plate Resting on Elastic Half-space under Axisymmetric Loading)

  • 조현영;정진환;김성철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.87-94
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    • 1997
  • The circular plate resting on Boussinesq's half-space model under axisymmetric loading is studied by a finite element procedure to evaluate the distribution of contact pressure between plate and elastic half-space. The displacement of half-space due to axisymmetric surface loading can be evaluated by double integration of Boussinesq's solution. On that case the analytical integration can be executed for the radial direction but the analytical integration for the circumferential direction is impossible and the numerical integration should be considered. With the radial integration we can get non-dimensional function. Then the numerical integration for the formula is executed for the circumferential direction and the results are approximated 5th order Polynomials by using the least square method. With these 5th order approximate formula, the flexibility matrix of half-space is constructed as the coefficient matrix of nodal contact pressure by the finite element procedures. Iteration procedures are attempted by using this method to determine the separated region.

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경계요소법에 있어서 수치적분에 관한 고찰 (Treatment of Numerical Integration for Boundary Element Method)

  • 박성완;곽창섭;구영덕
    • 한국정밀공학회지
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    • 제13권2호
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    • pp.185-193
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    • 1996
  • Errors included in solutions obtained by the boundary element method are generally larger than those by the finite element method in the case that the number of discreted elements is small. One of the reasons is supposed to be attributed to the error which will be produced in the numerical integration of the singular functions in two dimensional elastic problem. Then, treatment of analytical integration to reduce computing time and to decrease errors of boundary element method are proposed.

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Performance Analysis of the Clutter Map CFAR Detector with Noncoherent Integration

  • Kim, Chang-Joo;Lee, Hyuck-Jae
    • ETRI Journal
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    • 제15권2호
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    • pp.1-9
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    • 1993
  • Nitzberg has analyzed the detection performance of the clutter map constant false alarm rate (CFAR) detector using single pulse. In this paper, we extend the detection analysis to the clutter map CFAR detector that employs M-pulse noncoherent integration. Detection and false alarm probabilities for Swerling target models are derived. The analytical results show that the larger the number of integrated pulses M, the higher the detection probability. On the other hand, the analytical results for Swerling target models show that the detection performance of the completely decorrelated target signal is better than that of the completely correlated target.

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Assessments of dissipative structure-dependent integration methods

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • 제62권2호
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    • pp.151-162
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    • 2017
  • Two $Chang-{\alpha}$ dissipative family methods and two $KR-{\alpha}$ family methods were developed for time integration recently. Although the four family methods are in the category of the dissipative structure-dependent integration methods, their performances may be drastically different due to the detrimental property of weak instability or overshoot for the two $KR-{\alpha}$ family methods. This weak instability or overshoot will result in an adverse overshooting behavior or even numerical instability. In general, the four family methods can possess very similar numerical properties, such as unconditional stability, second-order accuracy, explicit formulation and controllable numerical damping. However, the two $KR-{\alpha}$ family methods are found to possess a weak instability property or overshoot in the high frequency responses to any nonzero initial conditions and thus this property will hinder them from practical applications. Whereas, the two $Chang-{\alpha}$ dissipative family methods have no such an adverse property. As a result, the performances of the two $Chang-{\alpha}$ dissipative family methods are much better than for the two $KR-{\alpha}$ family methods. Analytical assessments of all the four family methods are conducted in this work and numerical examples are used to confirm the analytical predictions.

탄소성 구성 모델의 수치 응력 적분을 위한 단계분할 절차에 관한 연구 (Modification of the Sloan치s Substepping Scheme for the Numerical Stress Integration of Elasto-plastic Constitutive Models)

  • 김범상;정충기
    • 한국지반공학회지:지반
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    • 제14권4호
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    • pp.129-140
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    • 1998
  • 탄소성 유한 요소 해석은 기지의 변형률 증분에 대한 응력 적분을 필요로 하며, 탄소성 구성 모델의 경우 특별한 경우를 제외하고는 해석적인 응력 적분이 불가능하고 수치적인 방법을 필요로 한다. 이때 응력 수치 적분의 정확도가 비선형 유한요소해의 전체적인 정확도에 상당히 큰 영향을 미치게 된다. 본 연구에서는 탄소성 구성 관계의 응력 적분을 위하여 외연적 방법중의 하나로서 Sloan이 제안한 단계분할 절차를 보완하여 안정적이고 정착한 응력 수치 적분법을 제시하고자 한다. 수정 오일러 절차에 따른 오차 조절의 기본 개념은 그대로 사용하고 오차를 평가하는 기준에 응력 수준이 영향을 미치는 단점을 보완하여 응력 수준에 관계없는 안정적이고 정확한 수치 적분법을 제시하였으며, 그 결과의 신뢰성을 삼축시험모사를 이용하여 검증하였다.

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An Analytical Approach to Color Composition in Ray Tracing of Volume Data

  • 정문렬;백두원;김웅환
    • 한국컴퓨터그래픽스학회논문지
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    • 제2권1호
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    • pp.1-6
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    • 1996
  • 3차원 체적데이터의 광선추적법에서는, 영상을 구성하는 각 화소의 색깔을 보통 각 화소점에서부터 발사한 광선 위의 각 표본점들이 미치는 영향의 합으로 구한다. 이 합을 자연스럽게 표현하는 법은 적분이다. 그러나, 대부분의 방법에서는 적분을 통한 분석적 해법을 찾기 어렵기 때문에 수치누적계산법을 통하여 구한다. 본 논문에서는 체적데이터의 광선추적법을 위한 분석적 해법을 구할 수 있다는 것을 보여준다. 끝으로 우리의 접근법에 대한 의의와 유용함에 대한 가설적인 결론을 실험에 근겋여 이끌어낸다.

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Integration Issues in the GIS and Decision Support Systems

  • Jun, Chul-Min
    • Korean Journal of Geomatics
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    • 제2권2호
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    • pp.115-122
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    • 2002
  • Since geographic information systems (GIS) began to emerge as an effective spatial information processing technology, there also has been growing interest in integrated use of GIS with other decision support systems. As various spatial-related problems such as urban development planning and natural resource management require more analytical and interpretive solutions, it is viewed that the supportive role of GIS to complement or reinforce the counterpart decision tools will be increased. This study examines the major situations that have needed the integration methodologies in the past decade to derive research trends relating to this integration agenda and, hence, to elicit the possible underlying principles from those experiences. According to the kinds of decision tools linked with GIS, alternative methodologies and viewpoints are categorized and compared.

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자연산 어류의 시장 통합성 분석 (Analyzing Market Integration of Wild Caught Fish Species)

  • 김도훈
    • 수산경영론집
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    • 제44권1호
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    • pp.71-79
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    • 2013
  • This study is aimed to estimate market integration of wild caught fish species on the Korean market, using both multivariate and bivariate cointegration analysis. For the analysis of market integration between wild caught fish species, major four fish species those are most popular fish in the market and caught by the large purse seine fishery-chub mackerel, jack mackerel, hairtail and spanish mackerel-were selected as analytical target fish species. And their real monthly price data from January 2000 to December 2011 were used in the analysis. The results of the multivariate cointegration test for four wild caught fish species showed that there would be long-term equilibrium relationships among prices of four wild caught fish species, and consequently, the markets for wild caught fish species were estimated to be integrated. The results of exclusion test and bivariate cointegration test also supported that there would be a clear evidence to suggest that all target wild caught fish species were cointegrated each other.