• 제목/요약/키워드: Direct Iteration

검색결과 46건 처리시간 0.024초

최적 설계를 위한 3점 탐색 알고리즘의 제안 (A Proposal of 3 Point Search Algorithm for Optimal Design)

  • 김주홍;공휘식
    • 한국통신학회논문지
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    • 제16권7호
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    • pp.640-650
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    • 1991
  • 最適 設計를 위한 최적치 탐색 알고리즘으로 직접 탐색법의 일종인 3점 탐색 알고리즘을 제안하였다. 본 알고리즘은 N차원 탐색 범위 내에 있는 수공간의 3N 점에서 함수의 최소차를 탐색하고 점차로 탐색 범위를 축소하여 동일한 타색과정을 반복수행하는 방법이다. 그러므로, 1회 탐색시에 성능 지표의 계산횟수는 3N이다. 도한 3N점 탐색법을 대산히나 3N점에 대한 탐색법으로 단순 3N탐색법을 기술하였으나, 이것은 서로 다른 매개 변수가 乘서항을 갖는 성능지표의 경우에는 불확실함이 발견되었다. 제안된 알고리즘은 2차 형식이나 선형함수로 구성되는 성능 지표에 적용이 가능하며, 안정하고 신회도가 높은 특성을 갖고 있음이 확인되었다.

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On the equivalence of reaction rate in energy collapsing of fast reactor code SARAX

  • Xiao, Bowen;Wei, Linfang;Zheng, Youqi;Zhang, Bin;Wu, Hongchun
    • Nuclear Engineering and Technology
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    • 제53권3호
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    • pp.732-740
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    • 2021
  • Scattering resonance of medium mass nuclides leads complex spectrum in the fast reactor, which requires thousands of energy groups in the spectrum calculation. When the broad-group cross sections are collapsed, reaction rate cannot be completely conserved. To eliminate the error from energy collapsing, the Super-homogenization method in energy collapsing (ESPH) was employed in the fast reactor code SARAX. An ESPH factor was derived based on the ESPH-corrected SN transport equation. By applying the factor in problems with reflective boundary condition, both the effective multiplication factor and reaction rate were conserved. The fixed-source iteration was used to ensure the stability of ESPH iteration. However, in the energy collapsing process of SARAX, the vacuum boundary condition was adopted, which was necessary for fast reactors with strong heterogeneity. To further reduce the error caused by leakage, an additional conservation factor was proposed to correct the neutron current in energy collapsing. To evaluate the performance of ESPH with conservation factor, numerical benchmarks of fast reactors were calculated. The results of broad-group calculation agreed well with the direct full-core Monte-Carlo calculation, including the effective multiplication factor, radial power distribution, total control rod worth and sodium void worth.

유한요소법과 경계요소법을 이용한 수중에서의 탄성구조물의 진동모드해석 및 모델링 기법 (Modelling Technique and Model Analysis of Submerged Structures Using Finite Element Method and Boundary Element Method)

  • 김관주;오상륜
    • 소음진동
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    • 제10권2호
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    • pp.319-324
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    • 2000
  • This paper shows hot to model the submerged elastic structures and adequate analysis tools for modal behavior when using finite element and boundary element method. Four different cases are reviewed depending on the location of the water and air. First case is that structures are filled with air and water is located outside. Second case is opposite to case one. These cases are solved by direct approach using collocation procedure. Third case is that water is located both sides of structures. Last case is that air is located both sides. These cases are solved by indirect approach using variational procedure. As analysis tools harmonic frequency sweep analysis and eigenvalue iteration method are selected to obtain the natural frequencies of vibrating submerged structures depending on the cases. Results are compared with closed form solutions of submerged spherical shell.

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EXPLICIT BOUNDS FOR THE TWO-LEVEL PRECONDITIONER OF THE P1 DISCONTINUOUS GALERKIN METHOD ON RECTANGULAR MESHES

  • Kim, Kwang-Yeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제13권4호
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    • pp.267-280
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    • 2009
  • In this paper we investigate a simple two-level additive Schwarz preconditioner for the P1 symmetric interior penalty Galerkin method of the Poisson equation on rectangular meshes. The construction is based on the decomposition of the global space of piecewise linear polynomials into the sum of local subspaces, each of which corresponds to an element of the underlying mesh, and the global coarse subspace consisting of piecewise constants. This preconditioner is a direct combination of the block Jacobi iteration and the cell-centered finite difference method, and thus very easy to implement. Explicit upper and lower bounds for the maximum and minimum eigenvalues of the preconditioned matrix system are derived and confirmed by some numerical experiments.

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PERFORMANCE ENHANCEMENT OF PARALLEL MULTIFRONTAL SOLVER ON BLOCK LANCZOS METHOD

  • Byun, Wan-Il;Kim, Seung-Jo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제13권1호
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    • pp.13-20
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    • 2009
  • The IPSAP which is a finite element analysis program has been developed for high parallel performance computing. This program consists of various analysis modules - stress, vibration and thermal analysis module, etc. The M orthogonal block Lanczos algorithm with shiftinvert transformation is used for solving eigenvalue problems in the vibration module. And the multifrontal algorithm which is one of the most efficient direct linear equation solvers is applied to factorization and triangular system solving phases in this block Lanczos iteration routine. In this study, the performance enhancement procedures of the IPSAP are composed of the following stages: 1) communication volume minimization of the factorization phase by modifying parallel matrix subroutines. 2) idling time minimization in triangular system solving phase by partial inverse of the frontal matrix and the LCM (least common multiple) concept.

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AJM을 이용한 HDM에 의한 잔류응력 계측에 관한 연구 2

  • 최병길;박영조;이택순;전상윤
    • Journal of Welding and Joining
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    • 제8권4호
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    • pp.76-82
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    • 1990
  • Lots of research works have been done to improve the accuracy of the hole drilling method to measure residual stress by many investigators. In this study, first, size effect of specimen was analyzed based on the solution of hole in a strip under tension. If the ratio of hole diameter tothe strip width is less than 0.2, the stress distribution around hold may be given from the solution of hole in an infinite plate. Second, the residual stress above $0.6{\sigma}_y$(yield stress) may be measured less than the actual stress by 10-15 percent. Third, eccentricity of hole relative to the rosette center effects on the accuracy of residual stress measurements by 10 percent. The error due to eccentricity of hole can be corrected by the iteration method or the direct method.

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심해 잠수정 연결케이블의 안전성 평가에 관한 연구 (The Safety Assessment of the Connecting Cable in Deep Water Unmanned Underwater Vehicle)

  • 노인식;최병기;이종무
    • 한국해양공학회지
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    • 제20권6호
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    • pp.75-81
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    • 2006
  • In this study, the dynamic response of the umbilical cable in a deep-water unmanned underwater vehicle system was analyzed. In order to analyze the forces acting on the cable, the launcher and umbilical cable were modeled by the simple 1-D mass-spring system. Damping and dynamic analysis was carried out by a direct time integration scheme using the $Newmark-{\beta}$ method with inverse iteration procedure, considering the nonlinear drag forces acting on the launcher. The obtained results of the present study can be used for the design of connecting the structure of the launcher and cable of the UUV system.

가압주조법을 이용한 금속복합재료 제조공정의 침투와 열전달 해석 (Numerical Simulation of Infiltration and Solidification for Squeeze Casting of MMCs)

  • 정창규;한경섭
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 추계학술발표대회 논문집
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    • pp.250-253
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    • 2004
  • A finite element model is developed for the process of squeeze casting of metal matrix composites. The fluid flow and the heat transfer are fundamental phenomena in squeeze casting. The equations for the clear fluid flow and the flow in porous media are used to simulate the transient metal flow. To describe heat transfer in the solidification of molten aluminum, the energy equation is written in terms of temperature and enthalpy. A direct iteration technique is used to solve the resulting nonlinear algebraic equations. The cooling curves and temperature distribution during infiltration and solidification were calculated for a simplified model with pure aluminum. The developed program can be used for squeeze casting process of complex geometry, boundary conditions and processing parameter optimization.

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낮은 연산 부담을 갖는 MPEG-4 AAC 인코더 개발에 관한 연구 (Development of an MPEG-4 AAC encoder of low implementation complexity)

  • 김병일;김동환;장태규;장흥엽
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 Ⅳ
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    • pp.2467-2470
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    • 2003
  • This paper presents a new structure of MPEG-4 AAC encoder. The proposed encoder directly shapes quantization noise distribution according to the energy distribution curve and thereafter performs adjustment of the offset level of the noise distribution to meet the given bit rate. The direct noise shaping and the bit rate matching scheme of the proposed encoder algorithm significantly alleviate the problem of conventional encoder's processing burden related with the employment of the precise psychoacoustic model and iteration intensive quantizer. The encoder algorithm is implemented on ARM processor with fixed-feint arithmetic operations. The audio quality of the implemented system is observed comparable to those of commercially available encoders, white the complexity of the implementation is drastically reduced in comparison to the conventional encoder systems.

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Development of a Simplified Fuel-Cladding Gap Conductance Model for Nuclear Feedback Calculation in 16$\times$16 FA

  • Yoo, Jong-Sung;Park, Chan-Oh;Park, Yong-Soo
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1995년도 추계학술발표회논문집(2)
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    • pp.636-643
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    • 1995
  • The accurate determination of the fuel-cladding gap conductance as functions of rod burnup and power level may be a key to the design and safety analysis of a reactor. The incorporation of a sophisticated gap conductance model into nuclear design code for computing thermal hydraulic feedback effect has not been implemented mainly because of computational inefficiency due to complicated behavior of gap conductance. To avoid the time-consuming iteration scheme, simplification of the gap conductance model is done for the current design model. The simplified model considers only the heat conductance contribution to the gap conductance. The simplification is made possible by direct consideration of the gas conductivity depending on the composition of constituent gases in the gap and the fuel-cladding gap size from computer simulation of representative power histories. The simplified gap conductance model is applied to the various fuel power histories and the predicted gap conductances are found to agree well with the results of the design model.

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