• Title/Summary/Keyword: Domain decomposition

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

  • Kwak Ho Sang
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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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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PARALLEL COMPUTATIONAL APPROACH FOR THREE-DIMENSIONAL SOLID ELEMENT USING EXTRA SHAPE FUNCTION BASED ON DOMAIN DECOMPOSITION APPROACH

  • JOO, HYUNSHIG;GONG, DUHYUN;KANG, SEUNG-HOON;CHUN, TAEYOUNG;SHIN, SANG-JOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.2
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    • pp.199-214
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    • 2020
  • This paper describes the development of a parallel computational algorithm based on the finite element tearing and interconnecting (FETI) method that uses a local Lagrange multiplier. In this approach, structural computational domain is decomposed into non-overlapping sub-domains using local Lagrange multiplier. The local Lagrange multipliers are imposed at interconnecting nodes. 8-node solid element using extra shape function is adopted by using the representative volume element (RVE). The parallel computational algorithm is further established based on message passing interface (MPI). Finally, the present FETI-local approach is implemented on parallel hardware and shows improved performance.

Hierarchical Task Planning through Abstraction of World Elements and Operators (월드 엘리먼트와 오퍼레이터의 추상화에 기반한 효율적인 계층적 작업계획)

  • Park, Young-Bin;Suh, Il-Hong;Choi, Byung-Uk
    • The Journal of Korea Robotics Society
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    • v.2 no.3
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    • pp.262-269
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    • 2007
  • Hierarchical Planning based on Abstraction of World Elements and Operators(HiPAWO) is proposed for mobile robots task planning, where abstraction of world elements is used for hierarchical planning and abstraction of operators is used for hierarchical decomposition of abstracted actions. Especially, a hierarchical domain theory based on JAH(Joint of Action Hierarchy)-graph is proposed to improve efficiency of planning, where a number of same actions are included in both adjacent hierarchical levels of domain theories to provide relationships between adjacent hierarchical levels. To show the validities of our proposed HiPAWO, experimental results are illustrated and will be compared with two other classical planning methods.

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A Multivariable control design using CDM (CDM을 이용한 다변수 시스템의 제어기 설계)

  • Jung, Dong-Keun;Song, Jeong-Hwa;Kim, Young-Chol
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.417-419
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    • 1998
  • The ICD(Individual-Channel-Design) is a multivariable control design method based on the classical frequence response, in which the channel decomposition and the loop shaping on frequence domain are introduced. However, in this manner, it is difficult to satisfy time domain specifications such as overshoot, rise time, settling time. To solve the problem, we propose a new design method using CDM(Coefficient Diagram Method). And a new feedforward compensator is introduced for reducing interconnections.

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Ferromagnetic Domain Behaviors in Mn doped ZnO Film

  • Soundararajan, Devaraj;Santoyo-Salazar, Jaime;Ko, Jang-Myoun;Kim, Ki-Hyeon
    • Journal of Magnetics
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    • v.16 no.3
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    • pp.216-219
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    • 2011
  • Mn doped ZnO films were prepared on Si (100) substrates using sol-gel method. The prepared films were annealed at $550^{\circ}C$ for decomposition and oxidation of the precursors. XRD analysis revealed the presence of ZnMnO hexagonal wurtzite phase along with the presence of small quantity of $ZnMn_2O_3$ secondary phase and poor crystalline nature. The 2D, 3D views of magnetic domains and domain profiles were obtained using magnetic force microscopy at room temperature. Rectangular shaped domains with an average size of 4.16 nm were observed. Magnetic moment measurement as a function of magnetic field was measured using superconducting quantum interference device (SQUID) magnetometry at room temperature. The result showed the ferromagnetic hysteresis loop with a curie temperature higher than 300 K.

Modal and structural identification of a R.C. arch bridge

  • Gentile, C.
    • Structural Engineering and Mechanics
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    • v.22 no.1
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    • pp.53-70
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    • 2006
  • The paper summarizes the dynamic-based assessment of a reinforced concrete arch bridge, dating back to the 50's. The outlined approach is based on ambient vibration testing, output-only modal identification and updating of the uncertain structural parameters of a finite element model. The Peak Picking and the Enhanced Frequency Domain Decomposition techniques were used to extract the modal parameters from ambient vibration data and a very good agreement in both identified frequencies and mode shapes has been found between the two techniques. In the theoretical study, vibration modes were determined using a 3D Finite Element model of the bridge and the information obtained from the field tests combined with a classic system identification technique provided a linear elastic updated model, accurately fitting the modal parameters of the bridge in its present condition. Hence, the use of output-only modal identification techniques and updating procedures provided a model that could be used to evaluate the overall safety of the tested bridge under the service loads.

Further validation of the hybrid particle-mesh method for vortex shedding flow simulations

  • Lee, Seung-Jae;Lee, Jun-Hyeok;Suh, Jung-Chun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.6
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    • pp.1034-1043
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    • 2015
  • This is the continuation of a numerical study on vortex shedding from a blunt trailing-edge of a hydrofoil. In our previous work (Lee et al., 2015), numerical schemes for efficient computations were successfully implemented; i.e. multiple domains, the approximation of domain boundary conditions using cubic spline functions, and particle-based domain decomposition for better load balancing. In this study, numerical results through a hybrid particle-mesh method which adopts the Vortex-In-Cell (VIC) method and the Brinkman penalization model are further rigorously validated through comparison to experimental data at the Reynolds number of $2{\times}10^6$. The effects of changes in numerical parameters are also explored herein. We find that the present numerical method enables us to reasonably simulate vortex shedding phenomenon, as well as turbulent wakes of a hydrofoil.

DIRECT COMPARISON STUDY OF THE CAHN-HILLIARD EQUATION WITH REAL EXPERIMENTAL DATA

  • DARAE, JEONG;SEOKJUN, HAM;JUNSEOK, KIM
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.26 no.4
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    • pp.333-342
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    • 2022
  • In this paper, we perform a direct comparison study of real experimental data for domain rearrangement and the Cahn-Hilliard (CH) equation on the dynamics of morphological evolution. To validate a mathematical model for physical phenomena, we take initial conditions from experimental images by using an image segmentation technique. The image segmentation algorithm is based on the Mumford-Shah functional and the Allen-Cahn (AC) equation. The segmented phase-field profile is similar to the solution of the CH equation, that is, it has hyperbolic tangent profile across interfacial transition region. We use unconditionally stable schemes to solve the governing equations. As a test problem, we take domain rearrangement of lipid bilayers. Numerical results demonstrate that comparison of the evolutions with experimental data is a good benchmark test for validating a mathematical model.

Effect of Core Morphology on the Decomposition of CCI₄ over the Surface of Core/Shell Structured Fe₂O₃/MgO Composite Metal Oxides

  • 김해진;강진;박동곤;권호진;Kenneth J. Klabunde
    • Bulletin of the Korean Chemical Society
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    • v.18 no.8
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    • pp.831-840
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    • 1997
  • Core/shell structured composite metal oxides of Fe2O3/MgO were prepared by thermal decomposition of Fe(acac)3 adsorbed on the surface of MgO cores. The morphology of the composites conformed to that of the MgO used as the cores. Broad powder X-ray diffraction peaks shifted toward larger d, large BET surface area (∼350 m2/g), and the size of crystalline domains in nano range (4 nm), all corroborate to the nanocrystallinity of the Fe2O3/MgO composite which was prepared by using nanocrystalline MgO as the core. By use of microcrystalline MgO as the core, microcrystalline Fe2O3/MgO composite was prepared, and it had small BET surface area of less than 35 m2/g. AFM measurements on nanocrystalline Fe2O3/MgO showed a collection of spherical aggregates (∼80 nm dia) with a very rough surface. On the contrary, microcrystalline Fe2O3/MgO was a collection of plate-like flat crystallites with a smooth surface. The nitrogen adsorption-desorption behavior indicated that microcrystalline Fe2O3/MgO was nonporous, whereas nanocrystalline Fe2O3/MgO was mesoporous. Bimodal distribution of the pore size became unimodal as the layer of Fe2O3 was applied to nanocrystalline MgO. The macropores in a wide distribution which the nanocrystalline MgO had were absent in the nanocrystalline Fe2O3/MgO. The decomposition of CCl4 was largily enhanced by the overlayer of Fe2O3 on nanocrystalline MgO making the reaction between nanocrystalline Fe2O3/MgO and CCl4 be nearly stoichiometric. The reaction products were environmentally benign MgCl2 and CO2. Such an enhancement was not attainable with the microcrystalline samples. Even for the nanocrystalline MgO, the enhancement was not attained, if not with the Fe2O3 layer. Without the layer of Fe2O3, it was observed that the nanocrystalline domain of the MgO transformed into microcrystalline one as the decomposition of CCl4 proceeded on its surface. It appeared that the layer of Fe2O3 on the particles of nanocrystalline Fe2O3/MgO blocked the transformation of the nanocrystalline domain into microcrystalline one. Therefore, in order to attain stoichiometric reaction between CCl4 and Fe2O3/MgO core/shell structured composite metal oxide, the morphology of the core MgO has to be nanocrystalline, and also the nanocrystalline domains has to be sustained until the core was exhausted into MgCl2.

Optimal Control of Large-Scale Dynamic Systems using Parallel Processing (병렬처리를 이용한 대규모 동적 시스템의 최적제어)

  • Park, Ki-Hong
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.4
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    • pp.403-410
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    • 1999
  • In this study, a parallel algorithm has been developed that can quickly solve the optiaml control problem of large-scale dynamic systems. The algorithm adopts the sequential quadratic programming methods and achieves domain decomposition-type parallelism in computing sensitivities for search direction computation. A silicon wafer thermal process problem has been solved using the algorithm, and a parallel efficiency of 45% has been achieved with 16 processors. Practical methods have also been investigated in this study as a way to further speed up the computation time.

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