• Title/Summary/Keyword: leapfrog

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Accurate Multi-level Schemes for Advection and Acoustics (대류 및 소음 해석을 위한 정확한 다층 수치 기법)

  • Kim C. W
    • Journal of computational fluids engineering
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    • v.8 no.3
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    • pp.21-31
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    • 2003
  • A non-dissipative and very accurate one-dimensional upwind leapfrog method is extended to higher-order and multi-dimensional advection and acoustic equations. The higher-order versions are developed by extending the stencils in space and time. The schemes are then successfully applied to the classical test cases for advection and acoustics.

Explicit time integration algorithm for fully flexible cell simulation (외연적 적분 기법을 적용한 Fully Flexible Cell 분자 동영학 시뮬레이션)

  • Park Shi-Dong;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.389-394
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    • 2006
  • Fully flexible cell preserves Hamiltonian in structure, so the symplectic time integrator is applied to the equations of motion. Primarily, generalized leapfrog time integration (GLF) is applicable, but the equations of motion by GLF have some of implicit formulas. The implicit formulas give rise to a complicate calculation for coding and need an iteration process. In this paper, the time integration formulas are obtained for the fully flexible cell molecular dynamics simulation by using the splitting time integration. It separates flexible cell Hamiltonian into terms corresponding to each of Hamiltonian term, so the simple and completely explicit recursion formula was obtained. The explicit formulas are easy to implementation for coding and may be reduced the integration time because they are not need iteration process. We are going to compare the resulting splitting time integration with the implicit generalized leapfrog time integration.

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A Splitting Time Integrator for Fully Flexible Cell Molecular Dynamics (분할 적분 기법을 적용한 N-sigma-T 분자동역학 전산모사)

  • Park, Shi-Dong;Cho, Maeng-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.8
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    • pp.826-832
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    • 2007
  • Fully flexible cell preserves Hamiltonian in structure so that the symplectic time integrator is applicable to the equations of motion. In the direct formulation of fully flexible cell N-Sigma-T ensemble, a generalized leapfrog time integration (GLF) is applicable for fully flexible cell simulation, but the equations of motion by GLF has structure of implicit algorithm. In this paper, the time integration formula is derived for the fully flexible cell molecular dynamics simulation by using the splitting time integration. It separates flexible cell Hamiltonian into terms corresponding to each of Hamiltonian term. Thus the simple and completely explicit recursion formula was obtained. We compare the performance and the result of present splitting time integration with those of the implicit generalized leapfrog time integration.

Numerical Analysis of the Ocean Tidal Current Considering Sea Bottom Topography (해저지형을 고려한 조류유동의 수치해석)

  • B.S. Yoon;.H. Rho
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.70-82
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    • 1995
  • A multi-layer simulation program is developed to estimate the ocean current considering sea bottom geometry. The so-called $\sigma$ coordinate system is introduced in vertical direction to describe sea bottom topography more accurately and effectively. Leapfrog scheme combined with Euler backward scheme is used to reduce computation error which may be possibly accumulated in time evolution by Leapfrog scheme alone. In this paper, very simple examples of rectangular basins with various bottom geometries were taken and the effect of sea bottom geometry on vertical structure of the ocean tidal current and its direction were investigated. Through comparisons between the present three dimensional calculation in which bottom topography is directly taken into consideration and the two dimensional calculation in which depth average concept is employed, it was found that magnitude of surface current and its direction could be largely affected by the sea bottom topography, particularly in shallow region with complex bottom shape.

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Spatio-temporal Changes of Urban Sprawl Process in Seoul Metropolitan Area : Spatial Structure-based Approach (수도권 스프롤 양상의 시공간적 변화 : 공간구조 기반 접근)

  • Lim, Sujin;Kim, Kamyoung
    • Journal of the Korean association of regional geographers
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    • v.22 no.3
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    • pp.628-642
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    • 2016
  • In small countries such as Korea, rapid expansion of cities has been pointed out as the main cause of urban and environmental issues. In order to understand the urban problems caused by urban sprawl and prepare countermeasures for it, urban sprawl must be accurately measured first of all. The purpose of this study is to analyze the spatio-temporal changes of urban sprawl process in Seoul Metropolitan Area using landscape indices which measure the degree of urban sprawl in terms of urban structure such as area, distribution, and shape of urbanized area. FRAGSTATS, which is a tool for landscape analysis, is utilized to calculate landscape indices. Major findings are as follows. First, the urban sprawl in Seoul Metropolitan Area has been continually intensified since the late 1980s and this tendency was more clearer in the 1990s than the 2000s. While leapfrog development is relatively prominent in the 1990s, infilling development is remarkable in the 2000s. Second, the progress and development types of sprawl progress were different according to the zones which are defined based on Seoul Metropolitan Area Readjustment Planning Act. Congestion Restrain Zone shows the highest level of urban sprawl in terms of the evaluated landscape indices, but infilling development was predominant. In Growth Management Zone1, leapfrog development was dominant in the 1990s and infilling development in the 2000s. In Growth Management Zone1, leapfrog development has been continually remarkable since the late 1980s. Nature Conservation Zone shows the lowest level of sprawl, but its sprawl tendency is gradually being intensified. Third, the sprawl tendency in Seoul Metropolitan Area was different according to the distance and direction from Seoul. Urban sprawl was remarkable at Si-Guns close to Seoul in the late 1980s, Si-Guns close to Seoul and the southern part of Seoul in the late 1990s, and the southern and northern parts of Seoul in the late 2000s.

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Explicit integration algorithm for fully flexible unit cell simulation with recursive thermostat chains (순환적으로 결합되는 정온기들을 갖는 $N{\sigma}T$ 분자동역학 전산모사에 적용한 외연적 적분기법)

  • Jung, Kwang-Sub;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.512-517
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    • 2007
  • In the previous development of the recursive thermostat chained fully flexible cell molecular dynamics simulation, implicit time integration method such as generalized leapfrog integration is used. The implicit algorithm is very much complicated and not easy to show time reversibility because it is solved by the nonlinear iterative procedure. Thus we develop simple, explicit symplectic time integration formula for the recursive thermostat chained fully flexible unit cell simulation. Uniaxial tension test is performed to verify the present explicit algorithm. We check that the present simulation satisfies the ergodic hypothesis for various values of fictitious mass and coefficient of multiple thermostat system. The proposed method should be helpful to predict mechanical and thermal behavior of nano-scale structure.

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Low-voltage current-mode filters using complementary current mirrors (상보형 전류미러를 이용한 저전압 전류모드 필터의 설계)

  • 안정철;최석우;윤창훈
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.34C no.11
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    • pp.56-65
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    • 1997
  • In this paper, a design of current-mode continuous-time filters for low voltage and high frequency applictions using complementary bipolar current mirror paris is presented. The proposed current-mode filters consist of simple bipolar current mirrors and capacitors and are quite suitable for monolithic integrtion. Since the design method of the proposed curent-mode filters is based on the integrator type of realization, it can be used for a wide range of applications. And the cutoff frequency of th efilters can be easily changed by the DC cntrolling current. As design examples, the 5th order butterworth filters are designed by cascade and leapfrog methods with tunable cutoff frequencies from 30MHz to 100MHz. The characteristics of the designed current mode filters are simulated and examined by SPICE using standard bipolar transistor parameters.

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Strongly coupled partitioned six degree-of-freedom rigid body motion solver with Aitken's dynamic under-relaxation

  • Chow, Jeng Hei;Ng, E.Y.K.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.4
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    • pp.320-329
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    • 2016
  • An implicit method of solving the six degree-of-freedom rigid body motion equations based on the second order Adams-Bashforth-Moulten method was utilised as an improvement over the leapfrog scheme by making modifications to the rigid body motion solver libraries directly. The implementation will depend on predictor-corrector steps still residing within the hybrid Pressure Implicit with Splitting of Operators - Semi-Implicit Method for Pressure Linked Equations (PIMPLE) outer corrector loops to ensure strong coupling between fluid and motion. Aitken's under-relaxation is also introduced in this study to optimise the convergence rate and stability of the coupled solver. The resulting coupled solver ran on a free floating object tutorial test case when converged matches the original solver. It further allows a varying 70%-80% reduction in simulation times compared using a fixed under-relaxation to achieve the required stability.

Fast Circuit Simulation Based on Parallel-Distributed LIM using Cloud Computing System

  • Inoue, Yuta;Sekine, Tadatoshi;Hasegawa, Takahiro;Asai, Hideki
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.10 no.1
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    • pp.49-54
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    • 2010
  • This paper describes a fast circuit simulation technique using the latency insertion method (LIM) with a parallel and distributed leapfrog algorithm. The numerical simulation results on the PC cluster system that uses the cloud computing system are shown. As a result, it is confirmed that our method is very useful and practical.

The 'Middle-Income Country Trap' and Technological Catch-up: The Case of the Machine Tools Industry in Korea (기계산업에서의 중진국 함정과 기술추격: 한국 기계산업의 사례)

  • Kim Yoon-Zi
    • Journal of Technology Innovation
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    • v.14 no.1
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    • pp.147-175
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    • 2006
  • One of the biggest problems of Korean economy is polarization of firms for export and domestic demand and that of conglomerates and SME's achievement. One of the culprits lies weakness of intermediate industry such as machine tool. Since intermediate industry is important path where export performance affects domestic demand and whose actor usually is SMEs with high spill over effect in labor market. Especially, intermediate industry Is vulnerable because of industrial policy biased In backward linkage effect. However if a country fails to develop intermediate industry above some critical point, that country would fall in low-tech equilibrium without growth. In case of benign circle where final goods industry growth leads growth of intermediate industry and again it leads that of final goods industry, it can reach high-tech equilibrium. By contrast, in opposite case where in industrialization latecomer fails to link industries likewise above some critical point that country would fall in low-tech equilibrium without growth. Moreover, for several reasons, machine tool firms of Korea have difficulty in catching up technology above critical point. Firstly. Conglomerate demander neglects their product. Secondly, even after success of development overcoming difficulties they fail to get market share for response of dumping of foreign competitors. And the last one is patent litigation of foreign competitors that incapacitate the technology development. For these, Korean machine tool firms fell in 'middle-income country trap' itself, since they stuck in some extent when they technologically catch up. Consequently, for latecomer country in machine tool industry to leapfrog meaningfully policy support is necessary, Weak intermediate industry does not Induce domestic firms and remained fragile. Therefore, localization, policy should reflect condition of technological catch up more than before, in order to be effective and fruitful. There should be turning point over relationship between conglomerates, major demander of machine tool and SME's, for only with active purchasing of conglomerate Korean machine industry can grow.

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