• Title/Summary/Keyword: H-분할법

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An Adaptive Construction of Quadrilateral Finite Elements Using H-Refinement (h-분할법에 의한 사각형 유한요소망의 적응적 구성)

  • 채수원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.11
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    • pp.2932-2943
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    • 1994
  • An efficient approach to the automatic construction of effective quadrilateral finite element meshes for two-dimensional analysis is presented. The procedure is composed of, firstly, an initial mesh generation and, secondly, an h-version of adaptive refinement based on error analysis. As for an initial mesh generation scheme, a modified looping algorithm has been employed. For the adaptive refinement process, an error indicator obtained by computing the residual error of the equilibrium equations in the energy norm with a relaxation factor has been employed. Examples of mesh generation and self-adaptive mesh improvements are given. These example solutions demonstrate that an effective mesh for a given error tolerance can be obtained in a few steps of the analysis processes.

Prediction of Signal Propagation in Optical Fiber by SS-FEM (단계분할 유한 요소법에 의한 광섬유의 신호 전송 예측)

  • Jung, B.H.;Lee, H.J.
    • Proceedings of the KIEE Conference
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    • 1999.07e
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    • pp.2441-2443
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    • 1999
  • 광섬유에서 전송되는 신호의 예측을 위하여 편미분방정식인 비선형 슈래딩거 방정식(Nonlinear Schrodinger Equation, NLSE)을 단계분할 유한 요소법(Split-Step Finite Element Method, SS-FEM)을 적용하여 해석하였다. 수치결과를 해석적인 해가 알려진 솔리톤의 해로부터 전송되는 거리의 증가에 따라 각 단계마다 오차를 계산하였으며, 그 결과를 단계분할 푸리에법(Split-Step Fourier Method, SS-FM)에 의한 수치해와도 비교하였다.

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Aerodynamic Analysis of Passenger Car with High Accuracy Using H-refinement (H-분할법을 이용한 승용차의 고정도 공력특성 해석)

  • 김태훈;정수진
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.5
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    • pp.33-41
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    • 2000
  • Three dimensional flow fields around passenger car body was computed by PAM-FLOW, well-known and validated computer program for thermal and fluid analysis. Regarding the computational method, a Navier-Stokes solver based on finite element method with various turbulent models and adaptive grid technique (H-refinement)was adopted. The results were physically reasonable and compared with experimental data, giving good agreement. It was found that three dimensional flow simulation with H-refinement technique had potential for prediction of low fie이 around vehicle and the ability to predict vortex in the wake, which is vital for CFD to be used for automobile aerodynamic calculation.

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A Numerical Study on Aerodynamic Noise Characteristics of the Tandem Cylinders using DES and FW-H Acoustic Analogy (DES와 FW-H 음향상사법을 이용한 탠덤 실린더의 공력소음 특성 연구)

  • Kim, Manshik;Lee, Youn Kyu
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.46 no.11
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    • pp.883-891
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    • 2018
  • In this paper, aerodynamic noise simulation was conducted using DES (Detached Eddy Simulation) and FW-H (Ffowcs Williams and Hawkings) acoustic analogy for the tandem cylinders which have configuration similar to a landing gear of airplanes. Numerical simulation for the tandem cylinders whose centers are 3.7D apart was carried out and results were compared with the measured data such as flow characteristics, pressure coefficients on the cylinder surfaces and far-field noise characteristics. It was confirmed that periodically shedded vortices released at the upstream cylinder and impinged on the downstream cylinder surface are major sources of aerodynamic noise. After verifying the computational method of using DES and FW-H acoustic analogy for predicting aerodynamic noise of tandem cylinders, additional simulation was conducted to examine the effect of attaching a splitter plate at the rear of the upstream cylinder. It was confirmed that the noise level in specific frequency band decreased significantly because the splitter plate changed the vortex shedding features and reduced dipole noise source.

Zoning Method to Predict Contaminant Sources in Turbulent-Type Cleanroom (난류형 클린룸에서 영역분할법을 이용한 오염원 추정에 관한 연구)

  • Kim, D.K.;Sung, H.G.;Han, S.M.;Hwang, Y.K.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.3
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    • pp.253-260
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    • 2015
  • Particle contamination in a cleanroom is very complex with a complicated process and several pieces of spreading equipment. Detailed information on the locations of the contamination sources and the path of the contamination is needed for economical and efficient control of the contaminant particles in such a cleanroom. An allocation method was developed to quantitatively predict the contamination generated from the pollution sources. In this paper, we propose a zoning method to accelerate the computation time for estimating the contributions. Our results showed that we can quantitatively estimate the amount of contamination generated from pollution sources.

Multilevel Threshold Selection Method (다중 임계값 결정기법)

  • Seo, Seok-Tae;Lee, In-Geun;Gwon, Sun-Hak
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.283-286
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    • 2007
  • 임계값을 이용한 영상 분할은 대표적인 영상 분할 기법으로 Otsu의 임계값 결정법, Fuzzy 엔트로피를 이용한 H&W의 기법 및 Clustering을 이용한 Kwon의 기법 등 많은 방법이 있다. 대부분의 임계값 결정 기법은 영상에서 얻어진 빈도수 히스토그램의 분석을 통해서 임계값을 결정한다. 특히 Otsu의 임계값 결정 기법은 빈도수 히스토그램의 분산을 최대화하는 방법으로 임계값을 결정하는 빈도수 히스토그램에 기반한 대표적 기법이다. 하지만 영상 기술이 발전함에 따라서 하나의 임계값으로부터 영상을 이진화 하는 기법은 효용성이 떨어지고 있다. 따라서 다중의 임계값을 결정하는 효과적인 방법이 필요하다. 본 논문에서는 그레이 레벨간의 관계성을 파악하고 이러한 관계성으로부터 다중의 임계값을 결정하는 기법을 제안한다. 제안된 기법의 효용성은 모의실험에서 다중 임계값을 사용한 분할영상을 통해서 보인다.

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Adaptive Analysis Methods for the Accuracy Control of Finite Element Solutions (유한요소해의 정확도 조절을 위한 적응해석법)

  • Oh, H.S;Lee, D.I;Choi, J.H;Lim, J.K
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2067-2077
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    • 1996
  • In adaptive finite element analysis, r- and h-methods are generally used on the basis of a discretization error estimator. In this paper, an rh-method is proposed as a new adaptive method which can improve the adaptivity performance by using both of them. This suggested rh-method moves nodal coordinates of initially given model to adjust element discretization errors and thereafter performes the h-method tdo obtain the specified accuracy of finite element solutions. Numerical experiments for various plane problems were performed using 4-noded isoparametric quadrilateral elements. As a result, the rh-method has been shown to be an accurate and efficient adaptive analysis method to obtain as improved solution.

A study on finding solutions to generalized Jisuguimundo(hexagonal tortoise problem) (일반화된 지수귀문도의 해를 구하는 방법에 관한 연구)

  • Park, Kyo-Sik
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.261-275
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    • 2011
  • Seok-Jung Choi's Jisuguimundo mentioned as a brilliant legacy in the history of Korean mathematics had been cloaked in mystery for 300 years. In the meantime there has been some efforts to find solutions, and some particular answers were found, but no one achieved full success mathematically. By the way, H-alternating method showed that to find solutions of Jisuguimundo is possible, even though that method restricted magic number to 88~92 and 94~98. In this paper, $n{\times}n$ Jisuguimundo is defined, and it is showed that finding solutions of it is always possible in case of partition $({\upsilon}+1)+{\upsilon}+({\upsilon}+1)$ & co-partition ${\upsilon}+({\upsilon}+1)+{\upsilon}$, partition $({\upsilon}+1)+({\upsilon}-1)+({\upsilon}+1)$ & co-partition $({\upsilon}-1)+({\upsilon}+1)+({\upsilon}-1)$, partition $({\upsilon}+1)+({\upsilon}+2)+({\upsilon}+1)$ & co-partition $({\upsilon}+2)+({\upsilon}+1)+({\upsilon}+2)$, and partition $({\upsilon}+1)+({\upsilon}+3)+({\upsilon}+1)$ & co-partition $({\upsilon}+3)+({\upsilon}+1)+({\upsilon}+3)$. And It is suggested to find solutions of $n{\times}n$ Jisuguimundo could be used as a task for problem solving.

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A Study on Estimating Shear Strength of Continuum Rock Slope (연속체 암반비탈면의 강도정수 산정 연구)

  • Kim, Hyung-Min;Lee, Su-gon;Lee, Byok-Kyu;Woo, Jae-Gyung;Hur, Ik;Lee, Jun-Ki
    • Journal of the Korean Geotechnical Society
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    • v.35 no.5
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    • pp.5-19
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    • 2019
  • Considering the natural phenomenon in which steep slopes ($65^{\circ}{\sim}85^{\circ}$) consisting of rock mass remain stable for decades, slopes steeper than 1:0.5 (the standard of slope angle for blast rock) may be applied in geotechnical conditions which are similar to those above at the design and initial construction stages. In the process of analysing the stability of a good to fair continuum rock slope that can be designed as a steep slope, a general method of estimating rock mass strength properties from design practice perspective was required. Practical and genealized engineering methods of determining the properties of a rock mass are important for a good continuum rock slope that can be designed as a steep slope. The Genealized Hoek-Brown (H-B) failure criterion and GSI (Geological Strength Index), which were revised and supplemented by Hoek et al. (2002), were assessed as rock mass characterization systems fully taking into account the effects of discontinuities, and were widely utilized as a method for calculating equivalent Mohr-Coulomb shear strength (balancing the areas) according to stress changes. The concept of calculating equivalent M-C shear strength according to the change of confining stress range was proposed, and on a slope, the equivalent shear strength changes sensitively with changes in the maximum confining stress (${{\sigma}^{\prime}}_{3max}$ or normal stress), making it difficult to use it in practical design. In this study, the method of estimating the strength properties (an iso-angle division method) that can be applied universally within the maximum confining stress range for a good to fair continuum rock mass slope is proposed by applying the H-B failure criterion. In order to assess the validity and applicability of the proposed method of estimating the shear strength (A), the rock slope, which is a study object, was selected as the type of rock (igneous, metamorphic, sedimentary) on the steep slope near the existing working design site. It is compared and analyzed with the equivalent M-C shear strength (balancing the areas) proposed by Hoek. The equivalent M-C shear strength of the balancing the areas method and iso-angle division method was estimated using the RocLab program (geotechnical properties calculation software based on the H-B failure criterion (2002)) by using the basic data of the laboratory rock triaxial compression test at the existing working design site and the face mapping of discontinuities on the rock slope of study area. The calculated equivalent M-C shear strength of the balancing the areas method was interlinked to show very large or small cohesion and internal friction angles (generally, greater than $45^{\circ}$). The equivalent M-C shear strength of the iso-angle division is in-between the equivalent M-C shear properties of the balancing the areas, and the internal friction angles show a range of $30^{\circ}$ to $42^{\circ}$. We compared and analyzed the shear strength (A) of the iso-angle division method at the study area with the shear strength (B) of the existing working design site with similar or the same grade RMR each other. The application of the proposed iso-angle division method was indirectly evaluated through the results of the stability analysis (limit equilibrium analysis and finite element analysis) applied with these the strength properties. The difference between A and B of the shear strength is about 10%. LEM results (in wet condition) showed that Fs (A) = 14.08~58.22 (average 32.9) and Fs (B) = 18.39~60.04 (average 32.2), which were similar in accordance with the same rock types. As a result of FEM, displacement (A) = 0.13~0.65 mm (average 0.27 mm) and displacement (B) = 0.14~1.07 mm (average 0.37 mm). Using the GSI and Hoek-Brown failure criterion, the significant result could be identified in the application evaluation. Therefore, the strength properties of rock mass estimated by the iso-angle division method could be applied with practical shear strength.

Efficient Global Placement Using Hierarchical Partitioning Technique and Relaxation Based Local Search (계층적 분할 기법과 완화된 국부 탐색 알고리즘을 이용한 효율적인 광역 배치)

  • Sung Young-Tae;Hur Sung-Woo
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.12
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    • pp.61-70
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    • 2005
  • In this paper, we propose an efficient global placement algorithm which is an enhanced version of Hybrid Placer$^{[25]}$, a standard cell placement tool, which uses a middle-down approach. Combining techniques used in the well-known partitioner hMETIS and the RBLS(Relaxation Based Local Search) in Hybrid Placer improves the quality of global placements. Partitioning techniques of hMETIS is applied in a top-down manner and RBLS is used in each level of the top-down hierarchy to improve the global placement. The proposed new approach resolves the problem that Hybrid Placer seriously depends on initial placements and it speeds up without deteriorating the placement quality. Experimental results prove that solutions generated by the proposed method on the MCNC benchmarks are comparable to those by FengShui which is a well known placement tool. Compared to the results of the original Hybrid Placer, new method is 5 times faster on average and shows improvement on bigger circuits.