• 제목/요약/키워드: alternate method of solution

검색결과 23건 처리시간 0.028초

AN IMPLICIT NUMERICAL SCHEME FOR SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR GRIDS

  • Fayyaz, Hassan;Shah, Abdullah
    • 대한수학회보
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    • 제55권3호
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    • pp.881-898
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    • 2018
  • This article deals with implementation of a high-order finite difference scheme for numerical solution of the incompressible Navier-Stokes equations on curvilinear grids. The numerical scheme is based on pseudo-compressibility approach. A fifth-order upwind compact scheme is used to approximate the inviscid fluxes while the discretization of metric and viscous terms is accomplished using sixth-order central compact scheme. An implicit Euler method is used for discretization of the pseudo-time derivative to obtain the steady-state solution. The resulting block tridiagonal matrix system is solved by approximate factorization based alternating direction implicit scheme (AF-ADI) which consists of an alternate sweep in each direction for every pseudo-time step. The convergence and efficiency of the method are evaluated by solving some 2D benchmark problems. Finally, computed results are compared with numerical results in the literature and a good agreement is observed.

Covariance Controller Design for Linear SISO Systems

  • Kim, Ho-Chan;Oh, Seong-Bo;Ko, Bong-Woon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.54.1-54
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    • 2001
  • In this paper, an alternate method for state-covariance assignment for SISO(single input singe output) linear systems is proposed. This method is based on the inverse solution of the Lyapunov matrix equation and the resulting formulas are similar in structure to the formulas for pole placement. Further, the set of all assignable covariance matrices to a SISO linear system is also characterized.

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아조벤젠기를 가지는 지방산과 인지질의 혼합물에 대한 광이성화 현상 및 물성에 관한 연구 (A Study on the Photoisomerization and Physical Properties for Mixtures of Phospholipid and Fatty Acid containing Azobenzene)

  • 박근호;이수;변용진
    • 한국응용과학기술학회지
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    • 제16권4호
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    • pp.281-286
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    • 1999
  • We carried out this subject to observe photoisomerization using 8A5H and phospholipid(DLPC) containing azobenzene group which has reversible to cis-trans by light irradiation. We investigated the photoisomerization and property of the monolayer film on quartz substrate prepared by the mixture of 8A5H and phospholipid deposited using Langmuir-Blodgett(LB) method. It was found that the absorption spectrum of the 8A5H and phospholipid LB monolayer was induced to photoisomerization by alternate light irradiation. And the absorbance of both the solution of mixtures of 8A5H-phospholipid and LB film was reversibly changed by the acid-base exposure and alternate temperatures.

불완전 합성형의 처짐특성에 관한 연구 (A Study on Deflection Characteristic of Composite Girder with Incomplete Interaction)

  • 용환선;김석태;김윤환
    • 한국강구조학회 논문집
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    • 제10권3호통권36호
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    • pp.437-449
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    • 1998
  • 합성형구조에서 콘크리트와 강재가 일체로 거동하기 위해서 전단연결재는 충분한 강성과 강도를 지니고 있어야 한다. 만약 콘크리트와 판형의 경계면에서 수직 또는, 수평방향으로 미끄러짐이 발생하지 않는다면 전단연결재는 무한강성으로 표현되어지고, 이상적으로 완전합성거동을 하게 된다. 그러나, 모든 전단연결재는 어느 정도의 범위내에서 유연성을 가지게 되며, 항상 불완전합성작용을 하게 된다. 본 논문에서는 3가지 방법에 의해서 불완전합성작용을 하는 합성형을 해석하는 실용적인 방법에 대하여 연구하였다. 미분방정식의 일반해로부터 유도된 강도매트릭스법과 경계부분의 스프링상수를 뼈대구조로 대체한 유한요소법, 가상일의 원리를 이용한 유한요소법의 3가지 방법에 의하여 합성형의 처짐특성을 고찰하였다. 또한, 불완전합성형에서 단면특성과 전단연결재의 스프링상수를 이용하여 합성형의 합성정도를 추정할수 있는 간이법을 제시하였다.

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Lyapunov 행렬방정식의 역해를 이용한 선형 이산시스템의 공분산제어 (On covariance control theory for linear discrete systems via inverse solution of the Lyapunov matrix equation)

  • 김호찬;최종호;김상현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.443-445
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    • 1998
  • In this paper, an alternate method for state-covariance assignment for SISO(single input single output) linear systems is proposed. This method is based on the inverse solution of the Lyapunov matrix equation and the resulting formulas are similar in structure to the formulas for pole placement. Further, the set of all assignable covariance matrices to a SISO linear system is also characterized.

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유한요소법과 경계요소법의 교호적용에 의한 와전류장 해석 (A Numerical Calculation of Eddy Current Field by Applying FEM and BEM Alternately)

  • 임재원
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권7호
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    • pp.457-461
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    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

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Economic Analysis of Power Transmission Lines using Interval Mathematics

  • Teegala, Srinivasa Kishore;Singal, Sunil Kumar
    • Journal of Electrical Engineering and Technology
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    • 제10권4호
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    • pp.1471-1479
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    • 2015
  • A major portion of the capital costs in the present day power transmission systems are due to the cost of equipment and construction process. Transmission utilities in the recent years are drawing greater attention towards performing life cycle costing studies for cost management and decision making. However, the data involved in these studies are highly uncertain and the effect of these uncertainties cannot be directly included in the study process, resulting in inaccurate solutions. Interval mathematics provides a method for including these uncertainties throughout the cost analysis and provides final solution range in the form of intervals. In this regard, it is essential and extremely important that significant research has to be carried out in understanding the principles of life cycle costing methodology and its applicability to cost analysis of transmission lines along with uncertainties involved in the cost assessment process. In this paper, economic analysis of power transmission lines using interval mathematics has been studied. Life cycle costing studies are performed using net present value analysis on a range transmission lines used in India and the results are analyzed. A cost break even analysis considering right of way costs was carried out to determine the point of economy indifference.

이종해법의 병용에 관한 연구 (A Study on Combination of Various Numerical Analysis Methods)

  • 임지원;추동욱;한석우
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 학술대회 논문집 전문대학교육위원
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    • pp.99-103
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    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

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유한요소법과 경계요소법의 교호적용에 의한 무한영역해석 (A Numerical Calculation of Open Boundary Problem by Applying FEM and BEM Alternately)

  • 임지원
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 A
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    • pp.130-132
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    • 1999
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

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경로의존성 없는 극좌표계 성형한계도를 이용한 판재 성형성 향상 기술 (The Improvement of Formability using the Polar-coordinate FLD with Strain Path Independence)

  • 배문기;홍승현;최광용;윤정환;김영석
    • 소성∙가공
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    • 제24권5호
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    • pp.348-353
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    • 2015
  • The PEPS(Polar-coordinated Effective Plastic Strain) FLD(Forming Limit Diagram), a new type of FLD based on a polar representation of the EPS(Effective Plastic Strain), appears to be an effective solution to the problem of non-linear strain path effects. This method has the advantages of the familiar strain-based diagram for linear loading, but without the strain-hardening limitations of the stress-based diagram, or non-intuitive aspects of alternate Cartesian diagrams based on effective plastic strain. In the current study, the PEPS FLD was applied to the development process of an aluminum automobile-body panel, including the necking or crack prediction, die design, and die modification. As a result, the PEPS FLD provided improved formability of aluminum sheet as compared to deriving the potential formability with non-linearity.