• Title/Summary/Keyword: 근사해석법

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SPSA Approach to Image Reconstruction in Electrical Impedance Tomograhpy (전기 임피던스 단층촬영법에서 SPSA를 이용한 영상복원)

  • 김호찬;부창진;이윤준
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.2
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    • pp.23-28
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    • 2004
  • In EIT, various image reconstruction algorithms have been used in order to compute the internal resistivity distribution of the unknown object with its electric potential data at the boundary. Mathematically the EIT image reconstruction algorithm is a nonlinear ill-posed inverse problem. In this paper, a SPSA approach is proposed for the solution of the EIT image reconstruction. Results of numerical experiments of EIT solved by the SPSA approach are presented and compared to that obtained by the modified Newton-Raphson(mNR) method.

An Imprevement of the Approximate-Factorization Scheme and Its Application to the Analysis of Incompressible Viscous Flows (근사인자화법의 개량과 비압축성 유동해석에의 응용)

  • 신병록
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1950-1963
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    • 1995
  • A modification of the approximate-factorization method is made to accelerate the convergency rate and to take sufficiently large Courant number without loss of accuracy. And a stable implicit finite-difference scheme for solving the incompressible Navier-Stokes equations employed above modified method is developed. In the present implicit scheme, the volume fluxes with contravariant velocity components and the pressure formulation in curvilinear coordinates is adopted. In order to satisfy the continuity condition completely and to remove spurious errors for the pressure, the Navier-Stokes equations are solved by a modified SMAC scheme using a staggered gird. The upstream-difference scheme such as the QUICK scheme is also employed to the right hand side. The implicit scheme is unconditionally stable and satisfies a diagonally dominant condition for scalar diagonal linear systems of implicit operator on the left hand side. Numerical results for some test calculations of the two-dimensional flow in a square cavity and over a backward-facing step are obtained using both usual approximate-factorization method and the modified one, and compared with each other. It is shown that the present scheme allows a sufficiently large Courant number of O(10$^{2}$) and reduces the computing time.

Computation of Zwicker's loudness and design optimization with Pad$\acute{e}$ approximation (Pad$\acute{e}$ 근사법을 이용한 Zwicker 라우드니스의 계산과 최적화)

  • Kook, Jung-Hwan;Jensen, Jakob S.;Wang, Se-Myung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.10a
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    • pp.279-284
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    • 2011
  • The calculation of Zwicker's loudness which is needed for multiple frequency response with a fine frequency resolution using the finite element (FE) procedure usually requires significant computation time since a numerical solution must be obtained for each considered frequency. Furthermore, if the analysis is the basis for an iterative optimization procedure this approach imposes high computational cost. In this work, we present an efficient approach for obtaining Zwicker's loudness via the Pad$\acute{e}$ approximants and applying in an acoustical topology optimization procedure. The paper is focused on an efficient and accurate calculation of Zwicker's loudness, design sensitivity analysis, and the acoustical topology optimization method by using Pad$\acute{e}$ approximants. The paper compares the efficient algorithm to results obtained by a standard FEM. Comparison are made both in terms of accuracy and in terms of CPU-times needed for the calculation.

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On the Efficient Three-Dimensional Inversion of Static Shifted MT Data (정적효과를 포함한 자기지전류 자료의 효율적인 3차원 역산에 관하여)

  • Jang, Hannuree;Jang, Hangilro;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.17 no.2
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    • pp.95-103
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    • 2014
  • This paper presents a practical inversion method for recovering a three-dimensional (3D) resistivity model and static shifts simultaneously. Although this method is based on a Gauss-Newton approach that requires a sensitivity matrix, the computer time can be greatly reduced by implementing a simple and effective procedure for updating the sensitivity matrix using the Broyden's algorithm. In this research, we examine the approximate inversion procedure and the weighting factor ${\beta}$ for static shifts through inversion experiments using synthetic MT data. In methods using the full sensitivity matrix constructed only once in the iteration process, a procedure using the full sensitivity in the earlier stage is useful to produce the smallest rms data misfit. The choice of ${\beta}$ is not critical below some threshold value. Synthetic examples demonstrate that the method proposed in this paper is effective in reconstructing a 3D resistivity structure from static-shifted MT data.

Study on the Dynamic Analysis of the Continuous System by Digital Modeling (이산화 기법에 의한 연속계의 동적 응답해석에 관한 연구)

  • 이용관;김인수;홍성욱;췌처린
    • Journal of KSNVE
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    • v.7 no.1
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    • pp.135-142
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    • 1997
  • This paper presents a digital modeling technique of the distributed system. The basic idea of the proposed technique is to discretize a continuous system with respect to the spatial coordinates using bilinear method. The response of the discretized system is analyzed by Laplace transform and z-transform. The computational results in torsional shaft and Timoshenko beam using the proposed technique are compared with the exact solutions and the results of finite element method.

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A Solution of Variational Inequalities and A Priori Error Estimations in Contact Problems with Finite Element Method (접촉문제에서의 변분부등식의 유한요소해석과 A Priori 오차계산법)

  • Lee, Choon-Yeol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.9
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    • pp.2887-2893
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    • 1996
  • Governing equations infrictional contact problems are introduced using variational inequality formulations which are regularized to overcome the diffculties of non-differentiability of the friction functional. Also finite element approximations and a priori error estimations are derived based on those formulations. Numerical simulations are performed illustrating the theoretical results.

Applicability study of the calculation method for design wave height (다방향 불규칙파를 이용한 천해설계파 계산법의 현지적용성)

  • 전문구;김규한;정승진;편종근
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2000.09a
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    • pp.120-125
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    • 2000
  • 연안역의 토지이용이 극대화됨에 따라 연안구조물이나 항만구조물의 축조가 활발히 진행되고 있다. 이를 설계하는데 있어서 무엇보다 중요한 것은 천해설계파 등과 같은 파랑변형계산을 얼마만큼 실현상과 근사시켜 재현할 수 있는지의 여부에 달려 있다. 지금까지의 천해설계파 산정에 있어서는 주로 단일 주파수와 단일 방향에 대한 규칙파해석이 수행되어져 왔으나, 실제해역에서의 파랑은 수많은 주파수와 파향, 파고들이 합성되어 이루어진 다방향 불규칙파랑이므로 실제 해역의 자연현상이 잘 표현되었다고 보기는 어렵다. (중략)

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Development of Computational Methods for Viscous Flow around a Commercial Ship Using Finite-Volume Methods (유한체적법을 이용한 상선주위의 난류유동 계산에 관한 연구)

  • Wu-Joan Kim;Do-Hyun Kim;Suak-Ho Van
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.4
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    • pp.19-30
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    • 2000
  • A finite-volume method is developed to solve turbulent flows around modern commercial hull forms with bow and stern bulbs. The RANS equations are solved. The cell-centered finite-volume method employs QUICK and central difference scheme for convective and diffusive flux discretization, respectively. The SIMPLEC method is adopted for the velocity-pressure coupling. The developed numerical methods are applied to calculate turbulent flow around KRISO 3600TEU container ship. Surface meshes are generated into five blocks: bow and stern bulbs, overhang, fore and afterbody. 3-D field grid system with O-H topology is generated using elliptic grid generation method. Surface friction lines and wake distribution at propeller plane is compared with experiment. The calculated results show that the present method can be used to predict flow around a modern commercial hull forms with bulbs.

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Design and Performance Analysis of Propeller for Solar-powered HALE UAV EAV-3 (고고도 장기체공 태양광 무인기 EAV-3의 프로펠러 설계 및 성능해석)

  • Park, Donghun;Hwang, Seungjae;Kim, Sanggon;Kim, Cheolwan;Lee, Yunggyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.9
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    • pp.759-768
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    • 2016
  • Design and performance analysis of propeller for solar-powered HALE UAV, EAV-3 are conducted. Experiment points of design variables are obtained by using Design of Experiment(DOE) and Kriging meta-model is generated for objective and constraints function. The geometry of propeller is designed by evaluating the response surface with requirement and restrictions. The validity of the design is verified by meta-model based optimization. Computational analyses are carried out by using commercial CFD code and the results are compared with those from a design code and wind tunnel test. The results showed good agreement with predictions of the design code at the design altitude. Also, it is confirmed that the blockage effect due to the measurement device and support strut is included in the test data and the results including this effect compare well with the test data.