• Title/Summary/Keyword: Subdomain method

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A Parallel Algorithm for Large DOF Structural Analysis Problems (대규모 자유도 문제의 구조해석을 위한 병렬 알고리즘)

  • Kim, Min-Seok;Lee, Jee-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.5
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    • pp.475-482
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    • 2010
  • In this paper, an efficient two-level parallel domain decomposition algorithm is suggested to solve large-DOF structural problems. Each subdomain is composed of the coarse problem and local problem. In the coarse problem, displacements at coarse nodes are computed by the iterative method that does not need to assemble a stiffness matrix for the whole coarse problem. Then displacements at local nodes are computed by Multi-Frontal Sparse Solver. A parallel version of PCG(Preconditioned Conjugate Gradient Method) is developed to solve the coarse problem iteratively, which minimizes the data communication amount between processors to increase the possible problem DOF size while maintaining the computational efficiency. The test results show that the suggested algorithm provides scalability on computing performance and an efficient approach to solve large-DOF structural problems.

The Effect of Enriched-Supplementary Ability-Grouping Within Class to Education in Middle School Science: In the Capter of 'Water Cycle and Weather Change' (삼화 ${\cdot}$ 보충형 수준별 수업모형의 중학교 과학 교육에서의 적용 효과; '물의 순환과 일기변화 단원을 중심으로)

  • Kim, Hye-Hyun;Yoo, Jung-Moon
    • Journal of the Korean earth science society
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    • v.21 no.2
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    • pp.103-115
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    • 2000
  • The ability-grouping is the essence of the seventh educational curriculum, applied to school from year 2000, and its enriched-supplementary type will be carried out for science course. This study examines the effect of the enriched-supplementary ability-grouping within class to student's academic achievement and the attitude, related to science. Thus we developed teaching and learning methods with intellectual level about the subject of 'Water Circulation and Weather Change' in Middle-School Science 2. Then we tested 152 eighth graders who were divided into the experimental and control groups. The experimental one was taught through the ability-grouping for about six weeks, while the control through conventional lecture. The improvement of the experimental group in academic achievement was more effective than that of the control, and particularly to below-average students who ranked in lower thirty percent. The experimental one got more negative change in domain 'Science as a Subject, and in subdomain 'Anxiety in Science Lesson'. While outstanding students who ranked in upper thirty percent showed a significant positive change in subdomain 'Satisfaction in Teaching Method, the below-average were negatively changed in subdomain 'Anxiety in Science Lesson'. The current ability-grouping was suitable for the improvement of academic achievement, but not for the general attitude related to science. In order to enhance the ability-grouping effect in science education, we need to additionally consider student's interest and concern in grouping, and develop various teaching and learning methods together with proper textbook contents.

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A STUDY ON A MULTI-LEVEL SUBSTRUCTURING METHOD FOR COMPUTATIONS OF FLUID FLOW (유동계산을 위한 다단계 부분 구조법에 대한 연구)

  • Kim J.W.
    • Journal of computational fluids engineering
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    • v.10 no.2
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    • pp.38-47
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    • 2005
  • Substructuring methods are often used in finite element structural analyses. In this study a multi-level substructuring(MLSS) algorithm is developed and proposed as a possible candidate for finite element fluid solvers. The present algorithm consists of four stages such as a gathering, a condensing, a solving and a scattering stage. At each level, a predetermined number of elements are gathered and condensed to form an element of higher level. At the highest level, each sub-domain consists of only one super-element. Thus, the inversion process of a stiffness matrix associated with internal degrees of freedom of each sub-domain has been replaced by a sequential static condensation of gathered element matrices. The global algebraic system arising from the assembly of each sub-domain matrices is solved using a well-known iterative solver such as the conjugare gradient(CG) or the conjugate gradient squared(CGS) method. A time comparison with CG has been performed on a 2-D Poisson problem. With one domain the computing time by MLSS is comparable with that by CG up to about 260,000 d.o.f. For 263,169 d.o.f using 8 x 8 sub-domains, the time by MLSS is reduced to a value less than $30\%$ of that by CG. The lid-driven cavity problem has been solved for Re = 3200 using the element interpolation degree(Deg.) up to cubic. in this case, preconditioning techniques usually accompanied by iterative solvers are not needed. Finite element formulation for the incompressible flow has been stabilized by a modified residual procedure proposed by Ilinca et al.[9].

Accuracy Analysis of Parallel Method based on Non-overlapping Domain Decomposition Method (비중첩 영역 분할기법 기반 병렬해석의 정확도 분석)

  • Tak, Moonho;Song, Yooseob;Jeon, Hye-Kwan;Park, Taehyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.4
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    • pp.301-308
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    • 2013
  • In this paper, an accuracy analysis of parallel method based on non-overlapping domain decomposition method is carried out. In this approach, proposed by Tak et al.(2013), the decomposed subdomains do not overlap each other and the connection between adjacent subdomains is determined via simple connective finite element named interfacial element. This approach has two main advantages. The first is that a direct method such as gauss elimination is available even in a singular problem because the singular stiffness matrix from floating domain can be converted to invertible matrix by assembling the interfacial element. The second is that computational time and storage can be reduced in comparison with the traditional finite element tearing and interconnect(FETI) method. The accuracy of analysis using proposed method, on the other hand, is inclined to decrease at cross points on which more than three subdomains are interconnected. Thus, in this paper, an accuracy analysis for a novel non-overlapping domain decomposition method with a variety of subdomain numbers which are interconnected at cross point is carried out. The cause of accuracy degradation is also analyze and establishment of countermeasure is discussed.

Numerical Computations on the Hydrodynamic Forces by Internal Waves in a Sediment Pocket (퇴적 침전구에서 발생하는 내면파 유동에 의한 유체력 해석)

  • Kyoung Jo-Hyun;Kim Jang-Whan;Bai Kwang-June
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.7 no.4
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    • pp.192-198
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    • 2004
  • A numerical method is developed to solve a two-dimensional diffraction problem for a body located in a sediment pocket where a heavier muddy water is trapped. In the present study, the wave exciting forces acting on a submerged body in the water-sediment interface by an incident wave is investigate. It is assumed that the heavier mud is trapped locally in a sediment pocket. A mathematical formulation is made in the scope of the potential theory. The fluid is assumed to be inviscid, incompressible and its motion irrotational. The boundary conditions on the unknown free surface and interface are linearized. As a method of solution, the localized finite-element method is adopted. In the method, the computation domain is reduced by utilizing the complete set of analytic solutions known in the infinite subdomain to be truncated by introduction of an appropriate juncture conditions. The main advantage of this method is that any complex geometry of the boundaries can be easily accommodated. Computations are carried out for mono-chromatic plane progressive surface waves normally incident on the domain. Numerical results are compared with those obtained by Lassiter based on Schwingers variational method. Good Agreements are obtained in general. Another numerical computations are made for the cases with and without a body in the sediment pocket.

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H-refined Shape Design Sensitivity Analysis of Elastic Structures using Multi-Resolution Approach (다중 조밀도를 이용한 탄성 구조의 h-세분화 아이소-지오메트릭 설계민감도 해석)

  • Lee, Taeho;Yoon, Minho;Cho, Seonho;Koo, Bonyong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.3
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    • pp.155-163
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    • 2018
  • One of the major disadvantages of isogeometric analysis(IGA) is that local refinement is nearly impossible in a conventional manner because of the tensor product nature in NURBS. In this research, we investigate a local refinement scheme for isogeometric analysis, named multi-resolution approach where different resolutions are employed at each subdomain, using h-refinement relation to endow displacement compatibility on an interface of subdomains. Then, we develop shape sensitivity analysis possessing same compatibility condition as in the analysis. Numerical examples are shown to demonstrate the computational efficiency of the method in analysis especially stress concentration problem and accurate sensitivity results which is also compatible on the interface.

Analytical Solution of Magnetic Field in Permanent-Magnet Eddy-Current Couplings by Considering the Effects of Slots and Iron-Core Protrusions

  • Dai, Xin;Liang, Qinghua;Ren, Chao;Cao, Jiayong;Mo, Jinqiu;Wang, Shigang
    • Journal of Magnetics
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    • v.20 no.3
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    • pp.273-283
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    • 2015
  • In this study, we propose an analytical model for studying magnetic fields in radial-flux permanent-magnet eddy-current couplings by considering the effects of slots and iron-core protrusions on the eddy currents. We focus on the analytical prediction of the air-gap field by considering the influence of eddy currents induced in conducting bars. In the proposed model, the permanent magnet region is treated as the source of a time-varying magnetic field and the moving-conductor eddy current problem is solved based on the resolution of time-harmonic Helmholtz equations. The spatial harmonics in the air gap and in slots, as well as the time harmonics are all considered in the analytical calculation. Based on the proposed field model, the electromagnetic torque is computed by using the Maxwell stress tensor method. Nonlinear finite element analysis is performed to validate the analytical model. The proposed model can be used for permanent-magnet eddy-current couplings with any slot-pole combination.

An Analysis of Family Nursing Research in Korea (우리나라 가족간호연구 분석)

  • 장선옥
    • Journal of Korean Academy of Nursing
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    • v.28 no.1
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    • pp.104-116
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    • 1998
  • The purpose of this study was to analyze the trends of family nursing research in Korea. The subjects were 62 articles, 132 master theses and 20 doctoral theses published during the period between 1970-1997.7. The results are as follows. 1. The types of research that were analyzed were factor isolating. 34.1%, factor relating, 54.2%, situation relating. 6.1% and situation producing, 3.7%. 2. Research designs were experimental studies, 6. 1%, non-experimental studies, 89.7% and qualitative research, 4.2%. Survey research was the method used in 82.7% of the papers. 3. On the research subjects, 94 papers dealt with the family member of a patient or a single person, 59 papers dealt with a patient and 7 papers dealt with whole family. 4. On the places of studies, 64.0% of the studies were done in hospital rooms, 12.9% in the communities and community facilities. 12.0% in schools, 10.7% in the home, and 0.4% an occupational setting. 5. The most frequently used family concept in the title of the articles was "family support"(59 papers) followed by family function and family burden. 6. The most frequently used family assessment tool was Family Environment Scale(FES) developed by Moos & Insel. 7, According to family nursing domain described by Murphy' and Meister'study, the subdomain, relationship of the family and disease was found 83.2%. 8. Four papers built conceptual frameworks based on various theories of researchers. Eleven papers applied family theories and five papers applied nursing theories. Based on the above findings the following suggestions are made. 1. The various domains of family nursing research should be used including in the relationship of family and health, health policy and family. transcultural family research, and theoretical approach to family. 2. Qualitative research should be used for family nursing research. 3. Family assessment tools should be developed for the Korean family.

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A Numerical Method for Nonlinear Wave-Making Phenomena (비선형 조파현상의 수치해법)

  • Jang-Whan Kim;Kwang-June Bai
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.65-72
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    • 1993
  • A numerical method for nonlinear free-surface-wave problem is developed in this paper. The final goal of this study is to simulate the towing tank experiment of a ship model and to partially replace the experiment by the numerical model. The exact problem in the scope of potential flow theory is formulated by a variational principle based on the classical Hamilton's principle. A localized finite element method is used in the present numerical computations which made use of the following two notable steps. The first step is an efficient treatment of the numerical radiation condition by using the intermediate nonlinear-to-linear transition buffer subdomain between the fully nonlinear and linear subdomains. The second is the use of a modal analysis in the final stage of the solution procedures, which enables us to reduce the computation time drastically. With these improvements the present method can treat a much larger computational domain than that was possible previously. A pressure patch on the free surface was chosen as an example. From the present computed results we could investigate the effect of nonlinearity on the down-stream wave pattern more clearly than others, because much larger computational domain was treated. We found, specifically, the widening of the Kelvin angle and the increase of the wave numbers and the magnitude of wave profiles.

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Further Improvement of Direct Solution-based FETI Algorithm (직접해법 기반의 FETI 알고리즘의 개선)

  • Kang, Seung-Hoon;Gong, DuHyun;Shin, SangJoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.5
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    • pp.249-257
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    • 2022
  • This paper presents an improved computational framework for the direct-solution-based finite element tearing and interconnecting (FETI) algorithm. The FETI-local algorithm is further improved herein, and localized Lagrange multipliers are used to define the interface among its subdomains. Selective inverse entry computation, using a property of the Boolean matrix, is employed for the computation of the subdomain interface stiffness and load, in which the original FETI-local algorithm requires a full matrix inverse computation of a high computational cost. In the global interface computation step, the original serial computation is replaced by a parallel multi-frontal method. The performance of the improved FETI-local algorithm was evaluated using a numerical example with 64 million degrees of freedom (DOFs). The computational time was reduced by up to 97.8% compared to that of the original algorithm. In addition, further stable and improved scalability was obtained in terms of a speed-up indicator. Furthermore, a performance comparison was conducted to evaluate the differences between the proposed algorithm and commercial software ANSYS using a large-scale computation with 432 million DOFs. Although ANSYS is superior in terms of computational time, the proposed algorithm has an advantage in terms of the speed-up increase per processor increase.