• Title/Summary/Keyword: Simultaneous Calculation

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Preconditioning technique for a simultaneous solution to wind-membrane interaction

  • Sun, Fang-jin;Gu, Ming
    • Wind and Structures
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    • v.22 no.3
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    • pp.349-368
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    • 2016
  • A preconditioning technique is presented for a simultaneous solution to wind-membrane interaction. In the simultaneous equations, a linear elastic model was employed to deal with the fluid-structure data transfer at the interface. A Lagrange multiplier was introduced to impose the specified boundary conditions at the interface and strongly coupled simultaneous equations are derived after space and time discretization. An initial linear elastic model preconditioner and modified one were derived by treating the linearized elastic model equation as a saddle point problem, respectively. Accordingly, initial and modified fluid-structure interaction (FSI) preconditioner for the simultaneous equations were derived based on the initial and modified linear elastic model preconditioners, respectively. Wind-membrane interaction analysis by the proposed preconditioners, for two and three dimensional membranous structures respectively, was performed. Comparison was made between the performance of initial and modified preconditioners by comparing parameters such as iteration numbers, relative residuals and convergence in FSI computation. The results show that the proposed preconditioning technique greatly improves calculation accuracy and efficiency. The priority of the modified FSI preconditioner is verified. The proposed preconditioning technique provides an efficient solution procedure and paves the way for practical application of simultaneous solution for wind-structure interaction computation.

Effective Performance Prediction of Axial Flow Compressors Using a Modified Stage-Stacking Method (단축적법의 개선에 의한 축류압축기의 효과적인 성능예측)

  • Song, Tae-Won;Kim, Jae-Hwan;Kim, Tong-Seop;Ro, Sung-Tack
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.8
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    • pp.1077-1084
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    • 2000
  • In this work, a modified stage-stacking method for the performance prediction of multi-stage axial flow compressors is proposed. The method is based on a simultaneous calculation of all interstage variables (temperature, pressure, flow velocity) instead of the conventional sequential stage-by-stage scheme. The method is also very useful in simulating the effect of changing angles of the inlet guide vane and stator vanes on the compressor operating characteristics. Generalized stage performance curves are used in presenting the performance characteristics of each stage. General assumptions enable determination of flow path data and stage design performance. Performance of various real compressors is predicted and comparison between prediction and field data validates the usefulness of the present method.

An Implementation of Multiple Access Memory System for High Speed Image Processing (고속 영상처리를 위한 다중접근 기억장치의 구현)

  • 김길윤;이형규;박종원
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.10
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    • pp.10-18
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    • 1992
  • This paper considers and implementation of the memory system which provides simultaneous access to pq image points of block(p$\times$q), horizontal vector(1$\times$pq)and/vertical vector(pq$\times$1) in 2-dimension image array, where p and q are design parameters. This memory system consists of an address calculation circuit, address routing circuit, data routing circuit, module selection circuit and m memory modules where m>qp. The address calculation circuit computes pq addresses in parallel by using the difference of addresses among image points. Extra module assignment circuit is not used by improving module selection circuit with routhing circuit. By using Verilog-XL logic simulator, we verify the correctness of the memory system and estimate the performance. The implemented system provides simultaneous access to 16 image points and is 6 times faster than conventional memory system.

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The Structure of Dayan Qiuyishu Appear in 〈Daeyeon大衍〉 《Sanhak Jeongeui算學正義》 (《산학정의(算學正義)》 〈대연(大衍)〉에 나타난 대연구일술(大衍求一術)의 구조)

  • Kang, Min-Jeong
    • Journal for History of Mathematics
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    • v.34 no.5
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    • pp.165-191
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    • 2021
  • The simple simultaneous linear congruence equation solution in 《Sunzi Suanjing孫子算經》 has developed into a systematic general solution in 《Shuxue Jiuzhang數書九章》. The most important parts of it is the creation of the Dayan Qiuyishu大衍求一術. The reason why 《Sanhak Jeongeui算學正義》 deals with the Dayanshu大衍術 which has lost its practicality in the calculation of astronomical calendar, is that one of the best achievement of traditional mathematics cannot be omitted. It is written with an emphasis on the disclosure of the calculation principle. It shows that Nam Byeong-gil南秉吉 and Lee Sang-hyeok李尙爀 had a fairly structural understanding of the Dayan Qiuyishu.

Double Circuit Simultaneous Fault Analysis (이중선로의 동시사고를 고려한 상정사고해석)

  • Kim, J.U.;Moon, Y.H.;Lee, J.G.
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.136-138
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    • 2002
  • In this paper, we propose the analysis method of the Double Circuit Simultaneous Fault. To improve the accuracy and the promptness of the coontingency analysis, we reformed the Peterson method and extended the Sherman-Morrison equation. We also used the table of trigono -metric factor of Jacobian matrix before the fault, to compute the inverse matrix needed in the loadflow calculation.

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Slope Stability Analysis Considering Multi Failure Mode (다중파괴모드를 고려한 사면안정해석)

  • Kim, Hyun-Ki;Kim, Soo-Sam
    • Journal of the Korean Society for Railway
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    • v.14 no.1
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    • pp.24-30
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    • 2011
  • Conventional slope stability analysis is focused on calculating minimum factor of safety or maximum probability of failure. To minimize inherent uncertainty of soil properties and analytical model and to reflect various analytical models and its failure shape in slope stability analysis, slope stability analysis method considering simultaneous failure probability for multi failure mode was proposed. Linear programming recently introduced in system reliability analysis was used for calculation of simultaneous failure probability. System reliability analysis for various analytical models could be executed by this method. For application analysis for embankment, the results of this method shows that system stability of embankment calculate quantitatively.

A Study on the Turbulent Characteristics of Rushton Turbine Mixer by Simultaneous Measurement of Velocity and Concentration field with Stereo-PIV/PLIF Technique (Stereo-PIV/LIF의 속도장과 농도장 동시측정 기법을 이용한 러쉬톤 교반기내 난류특성에 관한 연구)

  • Min, Young-Uk;Kim, Yun-Gi;Kim, Kyung-Chun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.3
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    • pp.365-370
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    • 2004
  • Simultaneous measurement with PLIF(Planar Laser-Induced Fluorescence) and Stereo-PIV(Stereo Particle Image Velocimetry) was performed to investigate the structural characteristics of flow field in Rushton Turbine Mixer. Instantaneous 3D velocity fields are measured by two 2K${\times}$2K CCD cameras focused on an object plane with the angular displacement methods while the concentration fields are obtained through the measurement of the fluorescence intensity of Rhodamine B tracer excited by the second pulse of Nd:Yag laser light. Image distortion due to the camera view-angle is compensated by a mapping function. Finally, the spatial structures of turbulent flow around Rushton turbine were identified by the calculation of synchronized data of the velocity field and concentration field.

Derivation of Distributed Generation Impact Factor in a Networked System in Case of Simultaneous Outputs of Multiple Generation Sites

  • Lim, Jung-Uk;Runolfsson, Thordur
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.20 no.9
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    • pp.78-83
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    • 2006
  • A new measure, the distributed generation impact factor (DGIF), is used for evaluating the impact of newly introduced distributed generators on a networked distribution or a transmission system. Distribution systems are normally operated in a radial structure. But the introduction of distributed generation needs load flow calculation to analyze the networked system. In the developed framework, the potential share of every generation bus in each line flow of a networked system can be directly evaluated. The developed index does not require the solution of power flow equations to evaluate the effect of the distributed generation. The main advantage of the developed method lies in its capability of considering simultaneous outputs of multiple generation sites.

Development of Computer Program for Calculation of Induced Lightning Voltages on Overhead Multiconductor Systems (다상 가공선로의 유도뢰 전압 해석을 위한 프로그램 개발)

  • Lee, Yong-Han;Park, Dong-Wook;Lim, Yong Hyeok
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.418-421
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    • 1989
  • A program for numerical analysis of induced lightning surge is developed. The program first converts simultaneous differential equations into simultaneous difference equations for line sections without transition points, and calculates the line voltage and current by solving a determinant. It, then, calculates the line voltage and current at transition points by applying kirhhoffs law. This program is potentially useful in a wide range of applications for investigating the effect on distribution lines of lightning protection equipment such as lightning arresters and overhead ground wires.

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A Study on the Turbulent Characteristics of Rushton Turbine Mixer by Simultaneous Measurement of Velocity and Concentration Field with Stereo-PIV/PLIF Technique (Stereo-PIV/PLIF의 속도장과 농도장 동시측정 기법을 이용한 러쉬톤 교반기내 난류특성에 관한 연구)

  • Min, Young-Uk;Kim, Yun-Gi;Kim, Kyung-Chun
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.694-699
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    • 2003
  • Simultaneous measurement with PLIF(Planar Laser-Induced Fluorescence) and Stereo-PIV(Stereoscopic Particle Image Velocimetry) was performed to investigate the structural characteristics of flow field in Rushton Turbine Mixer. Instantaneous 3D velocity fields are measured by two 2K ${\times}$ 2K CCD cameras focused on an object plane with the angular displacement methods while the concentration fields are obtained through the measurement of the fluorescence intensity of Rhodamine B tracer excited by the second pulse of Nd:Yag laser light. Image distortion due to the camera view-angle is compensated by a mapping function. Finally, the spatial structures of turbulent mixing around Rushton turbine were identified by the calculation of cross-correlation fields between the velocity and concentration field.

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