• 제목/요약/키워드: mesh convergence

검색결과 273건 처리시간 0.024초

1-irregular mesh를 이용한 편미분 방정식의 수렴성에 관한 연구 (A Study for pointwise by a 1-irregular mesh)

  • 이형;진기범
    • 한국수학교육학회지시리즈A:수학교육
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    • 제31권2호
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    • pp.121-132
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    • 1992
  • FEM(Finite Element Method)의 pointwise convergence는 mesh size와 허용오차와의 관계를 분석해 보려는 것이다. 이들 상호 관계에 관한 연구는 FEM에 의한 근사식의 질을 높이는데 중요한 계기가 되어 결과 예측을 하는데 효과적이다. 본 논문은 1-irregular mesh를 이용한 세분화(refinement)로 미지점(unknon node)dlm 수를 최소화 하면서 원하는 점에서의 수렴성을 비교 분석하였다.

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Male-Silkmoth-Inspired Routing Algorithm for Large-Scale Wireless Mesh Networks

  • Nugroho, Dwi Agung;Prasetiadi, Agi;Kim, Dong-Seong
    • Journal of Communications and Networks
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    • 제17권4호
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    • pp.384-393
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    • 2015
  • This paper proposes an insect behavior-inspired routing algorithm for large-scale wireless mesh networks. The proposed algorithm is adapted from the behavior of an insect called Bombyx mori, a male silkmoth. Its unique behavior is its flying technique to find the source of pheromones. The algorithm consists of two steps: the shortest-path algorithm and the zigzag-path algorithm. First, the shortest-path algorithm is employed to transmit data. After half of the total hops, the zigzag-path algorithm, which is based on the movement of the male B. mori, is applied. In order to adapt the biological behavior to large-scale wireless mesh networks, we use a mesh topology for implementing the algorithm. Simulation results show that the total energy used and the decision time for routing of the proposed algorithm are improved under certain conditions.

포아송 방정식에서 1-Irregular Mesh를 이용한 유한요소법의 수렴성에 관한 연구 (Pointwise Convergence for the FEM in Poisson Equations by a 1-Irregular Mesh)

  • 이형;라상동
    • 한국통신학회논문지
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    • 제16권11호
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    • pp.1194-1200
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    • 1991
  • 유한요소법(Finite Element Method)은 컴퓨터를 이용하여 미분방정식의 근사해를 얻기위한 수학적인 기법이다. 유한요소법의 pointwise convergence는 매쉬 크기와 허용 오차와의 관계를 분석해 보려는 것이다. 이들 상호 관계에 과난 연구는 유한요소법에 의한 근사식의 질을 높이는데 중요한 계기가 되어 결과를 예측 하는데 효과적이다. 본 논문을 1-Irregular 매쉬를 이용한 세분화(refinement) 및 형상 함수의 차수 변화에 따른 미지절점(unknown node) 수의 증가에 따른 수렴성을 분석하였다.

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계층적 삼각형 메쉬를 이용한 움직임 추정과 노드의 수렴 고속화 (Motion Estimation using Hierarchical Triangular Mesh and Fast Node Convergence)

  • 이동규;이두수
    • 조명전기설비학회논문지
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    • 제17권2호
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    • pp.88-94
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    • 2003
  • 본 논문에서는 영상의 움직임 정보를 반영한 계층적 삼각형 메쉬의 생성 방법과 이를 위한 노드의 수렴 고속화 방법을 제안한다. 영상의 차의 분산을 이용하여 세분화가 필요한 영역을 판단하고 적합한 삼각화 방법에 의해 연속적인 계층화가 가능하도록 한다. 또한 초기의 움직임 추정시 배경영역과 객체영역을 분리하고 쌍선형 보간법에 의해 메쉬 구조를 유지하도록 함으로써 노드의 수렴고속화를 위한 재정렬 방법을 사용한다. 실험을 통해 제한한 방법이 기존의 BMA이나 다른 메쉬 구조를 사용한 방법보다 높은 PSNR을 나타냄을 보이고 메쉬의 크기가 작은 구조에 적합한 재정렬 방법임을 보인다.

Improved Conversion Efficiency of Dye-sensitized Solar Cells Based on TiO2 Porous Layer Coated TiO2 Nanotubes on a Titanium Mesh Substrate as Photoanode

  • Lim, Jae-Min;He, Weizhen;Kim, Hyung-Kook;Hwang, Yoon-Hwae
    • Current Photovoltaic Research
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    • 제1권2호
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    • pp.90-96
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    • 2013
  • We report here flexible dye-sensitized solar cells (DSSC) based on Ti-mesh electrodes that show good mechanical flexibility and electrical conductivity. $TiO_2$ nanotube arrays prepared by electrochemical anodizing Ti-mesh substrate were used as photoanode. A Pt-coated Ti-mesh substrate was used as counter electrode. The photoanodes were modified by coating a $TiO_2$ porous layer onto the $TiO_2$ nanotubes in order to increase the specific surface area. To increase the long term stability of the DSSCs, a gel type electrolyte was used instead of a conventional liquid type electrolyte. The DSSC based on $33.2{\mu}m$ long porous $TiO_2$ nanotubes exhibited a better energy conversion efficiency of ~2.33%, which was higher than that of the DSSCs based on non-porous $TiO_2$ nanotubes.

정렬 및 비정렬 격자를 이용한 선박 저항 계산에서 Courant 수의 공간 분포 및 LTS 기법의 효율성에 관한 연구 (A Study on Spatial Distributions of Courant Number and Numerical Efficiency of LTS Method in Calculation of Ship Resistance Using Structured and Unstructured Meshes)

  • 이상봉;백광준;박동우
    • 대한조선학회논문집
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    • 제54권2호
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    • pp.83-89
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    • 2017
  • Numerical simulations of ship resistance have been performed to compare spatial characteristics of Courant number when using structured and unstructured meshes. When Euler scheme was used for time integration, the structured mesh provided a more efficient calculation because the calculation time interval was larger than that of unstructured mesh. The automatic generation of very small meshes in the unstructured mesh was mainly responsible for the limitation of calculation time interval. When local time stepping Euler scheme was applied, however, the ship resistance of unstructured mesh showed a rapid convergence while a slow convergence of ship resistance in structured mesh was caused by the small time interval in bulbous bow.

유선 메시 구조에서의 절체 성능 향상을 위한 네트워크 설계 기법 (Topology Design Optimization for Improving Fail-over Performance in Wired Mesh Network)

  • 황종수;장은정;이원오;김종혁;김희언
    • 대한임베디드공학회논문지
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    • 제14권4호
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    • pp.165-175
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    • 2019
  • Networks use relatively slow heartbeat mechanisms, usually in routing protocols, to detect failures when there is no hardware signaling to help out. The time to detect failures available in the existing protocols is no better than a second, which is far too long for some applications and represents a great deal of lost data at 10 Gigabit rates. We compare the convergence time of routing protocol applying Bidirectional Forwarding Detection (BFD) protocol in wired mesh network topology. This paper suggests the combinations of protocols improving fail-over performance. Through the performance analysis, we contribute to reduce convergence time when system is fail-over.

Convergence studies for Enriched Free Mesh Method and its application to fracture mechanics

  • Matsubara, Hitoshi;Yagawa, Genki
    • Interaction and multiscale mechanics
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    • 제2권3호
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    • pp.277-293
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    • 2009
  • The Enriched Free Mesh Method (EFMM) is a patch-wise procedure in which both a displacement field on an element and a stress/strain field on a cluster of elements connected to a node can be defined. On the other hand, the Superconvergent Patch Recovery (SPR) is known to be an efficient post-processing procedure of the finite element method to estimate the error norm at a node. In this paper, we discuss the relationship between solutions of the EFMM and those of the SPR through several convergence studies. In addition, in order to solve the demerit of the smoothing effect on the fracture mechanics fields, we implement a singular stress field to a local patch in the EFMM, and its effectiveness is investigated.

노이즈 함수 및 높이맵을 이용한 3차원 지형 메쉬의 생성 (Generation of 3D Terrain Mesh Using Noise Function and Height Map)

  • 박상근
    • 융복합기술연구소 논문집
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    • 제12권1호
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    • pp.1-5
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    • 2022
  • This paper describes an algorithm for generating a terrain using a noise function and a height map as one of the procedural terrain generation methods. The polygon mesh data structure to represent the generated terrain concisely and render it is also described. The Perlin noise function is used as the noise technique for terrain mesh, and the height data of the terrain is generated by combining the four noise waves. In addition, the terrain height information can be also obtained from actual image data taken from the satellite. The algorithm presented in this paper generates the geometry part of the polygon topography from the height data obtained, and generated a material for texture mapping with two textures, that is, a diffuse texture and a normal texture. The validity of the terrain method proposed in this paper is verified through application examples, and its possibility can be confirmed through performance verification.

Mesh size refining for a simulation of flow around a generic train model

  • Ishak, Izuan Amin;Alia, Mohamed Sukri Mat;Salim, Sheikh Ahmad Zaki Shaikh
    • Wind and Structures
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    • 제24권3호
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    • pp.223-247
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    • 2017
  • By using numerical simulation, vast and detailed information and observation of the physics of flow over a train model can be obtained. However, the accuracy of the numerical results is questionable as it is affected by grid convergence error. This paper describes a systematic method of computational grid refinement for the Unsteady Reynolds Navier-Stokes (URANS) of flow around a generic model of trains using the OpenFOAM software. The sensitivity of the computed flow field on different mesh resolutions is investigated in this paper. This involves solutions on three different grid refinements, namely fine, medium, and coarse grids to investigate the effect of grid dependency. The level of grid independence is evaluated using a form of Richardson extrapolation and Grid Convergence Index (GCI). This is done by comparing the GCI results of various parameters between different levels of mesh resolutions. In this study, monotonic convergence criteria were achieved, indicating that the grid convergence error was progressively reduced. The fine grid resolution's GCI value was less than 1%. The results from a simulation of the finest grid resolution, which includes pressure coefficient, drag coefficient and flow visualization, are presented and compared to previous available data.