• 제목/요약/키워드: D-K iteration

검색결과 150건 처리시간 0.029초

Convergence study of traditional 2D/1D coupling method for k-eigenvalue neutron transport problems with Fourier analysis

  • Boran Kong ;Kaijie Zhu ;Han Zhang ;Chen Hao ;Jiong Guo ;Fu Li
    • Nuclear Engineering and Technology
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    • 제55권4호
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    • pp.1350-1364
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    • 2023
  • 2D/1D coupling method is an important neutron transport calculation method due to its high accuracy and relatively low computation cost. However, 2D/1D coupling method may diverge especially in small axial mesh size. To analyze the convergence behavior of 2D/1D coupling method, a Fourier analysis for k-eigenvalue neutron transport problems is implemented. The analysis results present the divergence problem of 2D/1D coupling method in small axial mesh size. Several common attempts are made to solve the divergence problem, which are to increase the number of inner iterations of the 2D or 1D calculation, and two times 1D calculations per outer iteration. However, these attempts only could improve the convergence rate but cannot deal with the divergence problem of 2D/1D coupling method thoroughly. Moreover, the choice of axial solvers, such as DGFEM SN and traditional SN, and its effect on the convergence behavior are also discussed. The results show that the choice of axial solver is a key point for the convergence of 2D/1D method. The DGFEM SN based 2D/1D method could converge within a wide range of optical thickness region, which is superior to that of traditional SN method.

AN ESTIMATE OF THE SOLUTIONS FOR STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Kim, Young-Ho
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1549-1556
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    • 2011
  • In this paper, we give an estimate on the difference between $x^n(t)$ and x(t) and it clearly shows that one can use the Picard iteration procedure to the approximate solutions to stochastic functional differential equations with infinite delay at phase space BC(($-{\infty}$, 0] : $R^d$) which denotes the family of bounded continuous $R^d$-valued functions ${\varphi}$ defined on ($-{\infty}$, 0] with norm ${\parallel}{\varphi}{\parallel}={\sup}_{-{\infty}<{\theta}{\leq}0}{\mid}{\varphi}({\theta}){\mid}$ under non-Lipschitz condition being considered as a special case and a weakened linear growth condition.

Large deflection analysis of a fiber reinforced composite beam

  • Akbas, Seref D.
    • Steel and Composite Structures
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    • 제27권5호
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    • pp.567-576
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    • 2018
  • The objective of this work is to analyze large deflections of a fiber reinforced composite cantilever beam under point loads. In the solution of the problem, finite element method is used in conjunction with two dimensional (2-D) continuum model. It is known that large deflection problems are geometrically nonlinear problems. The considered non-linear problem is solved considering the total Lagrangian approach with Newton-Raphson iteration method. In the numerical results, the effects of the volume fraction and orientation angles of the fibre on the large deflections of the composite beam are examined and discussed. Also, the difference between the geometrically linear and nonlinear analysis of fiber reinforced composite beam is investigated in detail.

Camera Motion Parameter Estimation Technique using 2D Homography and LM Method based on Invariant Features

  • Cha, Jeong-Hee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권4호
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    • pp.297-301
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    • 2005
  • In this paper, we propose a method to estimate camera motion parameter based on invariant point features. Typically, feature information of image has drawbacks, it is variable to camera viewpoint, and therefore information quantity increases after time. The LM(Levenberg-Marquardt) method using nonlinear minimum square evaluation for camera extrinsic parameter estimation also has a weak point, which has different iteration number for approaching the minimal point according to the initial values and convergence time increases if the process run into a local minimum. In order to complement these shortfalls, we, first propose constructing feature models using invariant vector of geometry. Secondly, we propose a two-stage calculation method to improve accuracy and convergence by using homography and LM method. In the experiment, we compare and analyze the proposed method with existing method to demonstrate the superiority of the proposed algorithms.

Hair Segmentation using Optimized Fully Connected Network and 3D Hair Style

  • Kim, Junghyun;Lee, Yunhwan;Chin, Seongah
    • International Journal of Advanced Culture Technology
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    • 제9권4호
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    • pp.385-391
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    • 2021
  • 3D modeling of the human body is an integral part of computer graphics. Among them, several studies have been conducted on hair modeling, but there are generally few studies that effectively implement hair and face modeling simultaneously. This study has the originality of providing users with customized face modeling and hair modeling that is different from previous studies. For realistic hair styling, We design and realize hair segmentation using FCN, and we select the most appropriate model through comparing PSPNet, DeepLab V3+, and MobileNet. In this study, we use the open dataset named Figaro1k. Through the analysis of iteration and epoch parameters, we reach the optimized values of them. In addition, we experiment external parameters about the location of the camera, the color of the lighting, and the presence or absence of accessories. And the environmental analysis factors of the avatar maker were set and solutions to problems derived during the analysis process were presented.

Development of Galerkin Finite Element Method Three-dimensional Computational Code for the Multigroup Neutron Diffusion Equation with Unstructured Tetrahedron Elements

  • Hosseini, Seyed Abolfazl
    • Nuclear Engineering and Technology
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    • 제48권1호
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    • pp.43-54
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    • 2016
  • In the present paper, development of the three-dimensional (3D) computational code based on Galerkin finite element method (GFEM) for solving the multigroup forward/adjoint diffusion equation in both rectangular and hexagonal geometries is reported. Linear approximation of shape functions in the GFEM with unstructured tetrahedron elements is used in the calculation. Both criticality and fixed source calculations may be performed using the developed GFEM-3D computational code. An acceptable level of accuracy at a low computational cost is the main advantage of applying the unstructured tetrahedron elements. The unstructured tetrahedron elements generated with Gambit software are used in the GFEM-3D computational code through a developed interface. The forward/adjoint multiplication factor, forward/adjoint flux distribution, and power distribution in the reactor core are calculated using the power iteration method. Criticality calculations are benchmarked against the valid solution of the neutron diffusion equation for International Atomic Energy Agency (IAEA)-3D and Water-Water Energetic Reactor (VVER)-1000 reactor cores. In addition, validation of the calculations against the $P_1$ approximation of the transport theory is investigated in relation to the liquid metal fast breeder reactor benchmark problem. The neutron fixed source calculations are benchmarked through a comparison with the results obtained from similar computational codes. Finally, an analysis of the sensitivity of calculations to the number of elements is performed.

3차원 Depth Image 추출용 Differential CORDIC 기반 고속 위상 연산기의 FPGA 구현 (FPGA Implementation of Differential CORDIC-based high-speed phase calculator for 3D Depth Image Extraction)

  • 구정윤;신경욱
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2013년도 추계학술대회
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    • pp.350-353
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    • 2013
  • 본 논문에서는 TOF(Time-Of-Flight) 센서에 의해 얻어진 정보로부터 3차원 깊이 영상(depth image)을 추출하기 위한 위상 연산기의 하드웨어 구현을 제안한다. 설계된 위상 연산기는 DCORDIC(Differential COordinate Rotation DIgital Computer) 알고리듬의 vectoring mode를 이용하여 Arctangent 연산을 수행하며, 처리량과 속도를 늘리기 위해 redundant binary 수체계와 pipelined 구조를 적용하였다. 제안된 알고리듬은 고정 소수점 MATLAB 시뮬레이션을 통해 검증하고 최적 데이터 비트 수 및 반복 횟수를 결정하였다. 설계된 위상 연산기는 MATLAB/Simulink와 FPGA 연동을 통해 가상의 3차원 데이터 복원 동작을 검증하였으며, 469 MHz의 클록 주파수로 동작하여 7.5 Gbps의 성능을 갖는 것으로 평가되었다.

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수정된 K-means 알고리즘 (Modified K-means algorithm)

  • 김형철;조제황
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1999년도 학술발표대회 논문집 제18권 2호
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    • pp.115-118
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    • 1999
  • One of the typical methods to design a codebook is K-means algorithm. This algorithm has the drawbacks that converges to a locally optimal codebook and its performance is mainly decided by an initial codebook. D. Lee's method is almost same as the K-means algorithm except for a modification of a distance value. Those methods have a fixed distance value during all iterations. After many iterations. because the distance between new codevectors and old codevectors is much shorter than the distance in the early stage of iterations, the new codevectors are not affected by distance value. But new codevectors decided in the early stage of learning iterations are much affected by distance value. Therefore it is not appropriate to fix the distance value during all iterations. In this paper, we propose a new algorithm using each different distance value between codevectors for a limited iterations in the early stage of learning iteration. In the experiment, the result show that the proposed method can design better codebooks than the conventional K-means algorithms.

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Robust Control of a Glass-Fiber Reinforced Composite Beam using $\mu$-Synthesis Algorithm

  • Yun, Yeo-Hung;Lee, Young-Choon;Kwon, Tae-Kyu;Yu, Kee-Ho;Lee, Seong-Cheol
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.498-498
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    • 2000
  • A study on the robust control of a composite beam with a distributed PVDF sensor and piezo-ceramic actuator is presented in this paper. 1st and 2nd natural frequencies are considered in the modeling, because robust control theory which has robustness to structured uncertainty is adopted to suppress the vibration. If the controllers designed by H$_{\infty}$ theory do not satisfy control performance, it is improved by $\mu$-synthesis method with D-K iteration so that the $\mu$-controller based on the structured singular value satisfies the nominal performance and robust performance. Simulation and experiment were carried out with the designed controller and the verification of the robust control properties was presented by results.

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A Computationally Efficient Finite Element Analysis Algorithm Considering 2-D Magnetic Properties of Electrical Steel Sheet

  • Yao, Yingying;Li, Wei;Yoon, Hee-Sung;Fujiwara, Koji;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • 제3권3호
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    • pp.385-390
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    • 2008
  • For taking account of the two-dimensional magnetic properties of a grain-oriented electrical steel sheet, the effective anisotropic tensor reluctivity is examined, and a computationally efficient algorithm is suggested by using the response surface method to model the two-dimensional magnetic properties. It is shown that the reconstructed two-dimensional magnetic properties are fairly effective to stabilize the convergence characteristics of the Newton-Raphson iteration in the nonlinear magnetic field analysis.