• Title/Summary/Keyword: Subdomain method

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영역/경계 분할법을 이용한 저복 문제의 효율적인 유한요소 해석 (Efficient Finite Element Analyses of Contact Problems by Domain/Boundary Decomposition Method)

  • 류한열;신의섭
    • 한국항공우주학회지
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    • 제35권5호
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    • pp.404-411
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    • 2007
  • 접촉 문제의 효율적인 유한요소 해석을 위하여 부영역, 공유면 및 접촉 공유면의 개념에 근거한 영역/경계 분할법을 제시하였다. 부영역과 공유면 또는 접촉 공유면을 결합하기 위한 등식 적합 조건을 벌칙 함수로 처리함으로써 모든 유효 강성 행렬이 양 정치화되므로, 역행렬과 같은 각종 행렬의 연산이 매우 간편해진다. 또한 전체 영역 형상이 복잡하더라도, 임의의 부영역으로 분할한 후 공유면에서의 절점 연속성을 고려하지 않고 각각의 부영역을 독립적으로 이산화할 수 있다. 간단한 수치 예제 해석을 통하여 본 기법의 기본적인 특성을 고찰하였다.

영역분할에 의한 불일치 격자세분화 기법을 이용한 중공형 압출공정의 설계 및 해석 (Design and Analysis of Hollow Section Extrusion using Mismatching Refinement with Domain Decomposition)

  • 박근;양동열
    • 대한기계학회논문집A
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    • 제24권4호
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    • pp.1016-1023
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    • 2000
  • The present work is concerned with three-dimensional finite element analysis of the hollow section extrusion process using a porthole die. The effects of related design parameters are discussed through the finite element simulation for extrusion of a triply-connected rectangular tubular section. For economic computation, mismatching refinement, an efficient domain decomposition method with different mesh density for each subdomain, is implemented. In order to obtain the uniform flow at the outlet, design parameters such as the hole size and the hole position are investigated and compared through the numerical analysis. Comparing the velocity distribution with that of the original design, it is concluded that the design modification enables more uniform flow characteristics. The analysis results are then successfully reflected on the industrial porthole die design.

슬롯팅 효과를 고려한 영구자석 기기의 자계 특성해석 (Magnetic Field Analysis of Permanent Magnet Machine considering Stator Slotting Effect)

  • 신경훈;최장영;조한욱;이강수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2015년도 제46회 하계학술대회
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    • pp.792-793
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    • 2015
  • This paper present a general computation taking into account the slotting effect on the magnetic field due to permanent magnet in surface mounted permanent magnet machine. The analytical method is based on the solution of Laplace's and Poisson's equations (by the separation of variables technique) for each subdomain, i.e., magnets, air gap, and slots. The general solution is obtained using boundary and continuity conditions. The analytical results are in very good agreement with those obtained by the FEA, considering both amplitude and waveform.

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영역분할법에 의한 SIMPLER 기법의 병렬화 (Parallel Implementation of SIMPLER by Using Domain Decomposition Technique)

  • 곽호상
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1997년도 추계 학술대회논문집
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    • pp.23-28
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    • 1997
  • A parallel implementation is made of a two-dimensional finite volume model based on the SIMPLER. The solution domain is decomposed into several subdomains and the solution at each subdomain is acquired by parallel use of multiple processors. Communications between processors are accomplished by using the standard MPI and the Cray-specific SHMEM. The parallelization method for the overall solution procedure to the Navier-Stokes equations is described in detail, The parallel implementation is validated on the Cray T3E system for a benchmark problem of natural convection in a sidewall-heated cavity. The parallel performance is assessed and the issues encountered in achieving a high-performance parallel model are elaborated.

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A TWO-DIMENSIONAL MAXIMUM SEARCH MEHHOD BY A GLOBAL PRIORITY STRATEGY WITH LOCAL PEAK ESTIMATION:ITS OPTIMAL SWITCHING CRITERION

  • Wakasugi, Yoshizumi;Yasuda, Genichi;Shin, Seiichi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.488-491
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    • 1995
  • The paper presents a new global maximum search method for multimodal unknown functions of two variables. The search method is composed of two stages and sequentially samples the candidate point in a subdomain selected using a priority function in each stage. The search domain is auto-similarly divided into triangular subdomains, or cells, during the search process. A measure of accuracy of local maximum search is introduced to check if a local search has converged to a specified accuracy or the maximum of a local peak cannot be the global maximum. A criterion for switching from the first to the second stage, is proposed using a ratio of the observed peak width to the largest cell in the domain. By numerical simulations, the required number of trials is evaluated for some function models with different peak parameters, and the switching criterion is optimally determined. The results show that the proposed method obtains global maximum points with certainty and saves largely computation time even for functions with extremely steep peaks.

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Improved Method for Calculating Magnetic Field of Surface-Mounted Permanent Magnet Machines Accounting for Slots and Eccentric Magnet Pole

  • Zhou, Yu;Li, Huaishu;Wang, Wei;Cao, Qing;Zhou, Shi
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.1025-1034
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    • 2015
  • This paper presented an improved analytical method for calculating the open-circuit magnetic field in the surface-mounted permanent magnet machines accounting for slots and eccentric magnet pole. Magnetic field produced by radial and parallel permanent magnet is equivalent to that produced by surface current according to equivalent surface-current method of permanent magnet. The model is divided into two types of subdomains. The field solution of each subdomain is obtained by applying the interface and boundary conditions. The magnet field produced by equivalent surface current is superposed according to superposition principle of vector potential. The investigation shows harmonic contents of radial flux density can be reduced a lot by changing eccentric distance of eccentric magnet poles compared with conventional surface-mounted permanent-magnet machines with concentric magnet poles. The FE(finite element) results confirm the validity of the analytical results with the proposed model.

Domain decomposition for GPU-Based continuous energy Monte Carlo power reactor calculation

  • Choi, Namjae;Joo, Han Gyu
    • Nuclear Engineering and Technology
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    • 제52권11호
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    • pp.2667-2677
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    • 2020
  • A domain decomposition (DD) scheme for GPU-based Monte Carlo (MC) calculation which is essential for whole-core depletion is introduced within the framework of the modified history-based tracking algorithm. Since GPU-offloaded MC calculations suffer from limited memory capacity, employing DDMC is inevitable for the simulation of depleted cores which require large storage to save hundreds of newly generated isotopes. First, an automated domain decomposition algorithm named wheel clustering is devised such that each subdomain contains nearly the same number of fuel assemblies. Second, an innerouter iteration algorithm allowing overlapped computation and communication is introduced which enables boundary neutron transactions during the tracking of interior neutrons. Third, a bank update scheme which is to include the boundary sources in a way to be adequate to the peculiar data structures of the GPU-based neutron tracking algorithm is presented. The verification and demonstration of the DDMC method are done for 3D full-core problems: APR1400 fresh core and a mock-up depleted core. It is confirmed that the DDMC method performs comparably with the standard MC method, and that the domain decomposition scheme is essential to carry out full 3D MC depletion calculations with limited GPU memory capacities.

주상체의 비선형 운동(I) -강제동요문제, 조파저항문제- (The Nonlinear Motions of Cylinders(I))

  • 이호영;황종흘
    • 대한조선학회논문집
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    • 제29권4호
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    • pp.114-131
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    • 1992
  • 본 논문은 2차원 자유표면파문제에서 시간영역해법을 이용하여 2차원 운동문제에 적용할 수 있는 수치해석을 하였다. 경계조건으로는 엄밀한 물체표면 경계조건과 비선형 자유표면경계 조건을 부과했다. 수치해를 구하는데는 코시이론을 이용하여 제2종 프레드흘름 경계적분방정식을 도출하고 이를 이산화시켜 처리하였다. 수치계산을 위해 전영역을 유한한 영역으로 제한하여야 한다. 제한된 영역에서 방사해의 부과를 위해 전영역을 수치해석영역과 외부영역으로 나누고, 외부영역의 해는 그린 제2정리를 이용하고, 선형자유표면조건을 만족하는 과도그린함수를 사용한다. 위의 그린 제2정리를 이용한 식으로 부터 초기조건, 선형 자유표면조건, 무한원방조건을 이용하여 단순화시킨 다음 포텐셜과 유동함수의 관계식으로 치환하면 비선형해와 정합할 수 있는 정합행렬을 구할 수 있다. 본 논문에서 개발한 정합방법을 이용하여 적용할 문제로서 첫째는 주상체가 상하동요, 수평동요하는 경우 계산이고 두번째로는 수면하에서 타원형실린더가 일정속도로 항진할 때 계산을 수행한 결과를 고차스펙트럴방법과 비교하였다.

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영역분할에 의한 격자세분화기법을 사용한 철도차량 마루부재 압출공정의 3차원 유한요소해석 (Three-Dimensional Finite Element Analysis for Hollow Section Extrusion of the Underframe of a Railroad Vehicle Using Mismatching Refinement with Domain Decomposition)

  • 박근;이영규;양동열;이동헌
    • 소성∙가공
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    • 제9권4호
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    • pp.362-371
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    • 2000
  • In order to reduce weight of a high-speed railroad vehicle, the main body has been manufactured by hollow section extrusion using aluminum alloys. A porthole die has utilized for the hollow section extrusion process, which causes complicated die geometry and flow characteristics. Design of porthole die is very difficult due to such a complexity. The three-dimensional finite element analysis for hollow section is also an arduous job from the viewpoint of appropriate mesh construction and tremendous computation time. In the present work, mismatching refinement, an efficient domain decomposition method with different mesh density for each subdomain, is implemented for the analysis of the hollow section extrusion process. In addition, a modified grid-based approach with the surface element layer is utilized lot three-dimensional mesh generation of a complicated shape with hexahedral elements. The effects of porthole design are discussed through the simulation for extrusion of an underframe part of a railroad vehicle. An experiment has also been carried out for the comparison. Comparing the velocity distribution at the outlet with the thickness variation of the extruded part, it is concluded that the analysis results can provide reliable measures whether the die design is acceptable to obtain uniform part thickness. The analysis results are then successfully reflected on the industrial porthole die design.

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Ku/C 밴드 변형된 사각 루프 주파수 선택 반사기 특성 해석 (Analysis of Characteristics of Ku/C Band Modified Square Loop Frequency Selective Surface)

  • 노행숙;이동진;최학근
    • 한국전자파학회논문지
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    • 제11권2호
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    • pp.186-196
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    • 2000
  • 본 논문에서는 이중통신용 안테나 시스템을 위한 변형된 사각 루프 주파수 선택 반사기를 제안하고, 그 특성 을 해석하였다 변형된 사각 루프 주파수 선택 반사기를 해석함에 있어서 유전체의 영향과 주기적 배열구조임을 고려하기 워하여 파수 영역 방법(Spectral Domain Method)과 Floquet 이론을 도입하였으며, 수치해석 방법으로 는 rooftop basis function을 이용한 모멘트법을 적용하였다 해석결과로는 기존의 사각 루프와 변형된 사각 루프 의 전송 특성플 비교하였으며. 변형된 사각 루프의 경우 입사각과 편파 변화에 따른 전송 특성도 제시하였다. 수 치해석 방법의 타당성을 검증하기 위해 변형된 사각 루프 주파수 선택 반사기를 실제 제작 및 측정하여 수치해 석 결파와 비교하였다. 측정결과는 수치해석 결과와 비교적 잘 일치함을 보였다

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