• Title/Summary/Keyword: hexagonal lattice model

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The Rotated Hexagonal Lattice Model for Pedestrian Flow (보행교통류를 위한 회전육각격자모형 개발)

  • Lee, Jun;Heo, Min-Guk;Jeong, Jin-Hyeok
    • Journal of Korean Society of Transportation
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    • v.27 no.1
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    • pp.169-177
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    • 2009
  • In this paper, the rotated hexagonal lattice model (RHLM) was proposed, which is applied to pedestrian flow, and developed the simulation model for the pedestrian counterflow. RHLM is an upgrade version of the square lattice model(SLM) and hexagonal lattice model(HLM). The simulation was performed at the hexagonal lattice $20{\times}20$ and evaluated by different speed, density and flow conditions. Simulation results are compared with SLM and show that RHLM can replicate the characteristics of pedestrian traffic more effectively and reliably than any other existing models from several perspectives. First, RHLM can explain the shortest-path movement of pedestrians and more realistic avoidance motion. If they cannot move straight direction, they can move shorter distance from previous position to destination. Second, RHLM reflects the characteristics that the pedestrian can move with higher capacity and the speed of pedestrian flow is hard to zero.

Multi-directional Pedestrian Model Based on Cellular Automata (CA기반의 다방향 보행자 시뮬레이션 모형개발)

  • Lee, Jun;Bae, Yun-Kyung;Chung, Jin-Hyuk
    • International Journal of Highway Engineering
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    • v.12 no.4
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    • pp.11-16
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    • 2010
  • Various researches have been performed on the topic of pedestrian traffic flow. At the beginning, the modeling and simulation method for the vehicular traffic flow was simply applied to pedestrian traffic flow. Recently, CA based simulation models are frequently applied to pedestrian flow analysis. Initially, the square Lattice Model is a base model for applying to pedestrians of counterflow and then Hexagonal Lattice Model improves its network as a hexagonal cell for more realistic movement of the avoidance of pedestrian conflicts. However these lattice models express only one directional movement because they express only one directional movement. In this paper, MLPM (the Multi-Layer Pedestrian Model) is suggested to give various origins and destinations for more realistic pedestrian motion in some place.

Thermal-Hydraulic Aspects of an Advanced Reactor Core with Triangular Lattice Fuel Assemblies

  • Hwang, Dae-Hyun;Yoo, Yeon-Jong;Kim, Young-Jin;Chang, Moon-Hee
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05b
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    • pp.379-384
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    • 1996
  • Thermal-hydraulic performance has been analyzed for an advanced reactor core loaded with hexagonal fuel assemblies. Currently available CHF prediction models and data base for triangular lattice bundles have been thoroughly reviewed, and as a result the KfK-3 CHF correlation with limit CHFR of 1.235 has been determined to be most appropriate. The pressure drop model in COBRA-IV-I code has been modified for the analysis of triangular lattice rod bundles. In view of maximizing the thermal margin, the geometry of a hexagonal fuel assembly, such as rod diameter and rod pitch, has been optimized with a fixed fuel assembly cross sectional area The optimum value of the moderator-to-fuel volume ratio is estimated to lie between 0.65 to 1 with 9.5 mm rod diameter. The thermal margin of these hexagonal fuel assemblies in the AP600 core has been evaluated and compared with that of square lattice fuel assemblies such as VANTAGE-5H and KOFA. The analysis result shows that the performances of hexagonal fuel assemblies are more favorable than the square fuel assemblies in the aspect of steady-state overpower margin.

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Nodal method for handling irregularly deformed geometries in hexagonal lattice cores

  • Seongchan Kim;Han Gyu Joo;Hyun Chul Lee
    • Nuclear Engineering and Technology
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    • v.56 no.3
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    • pp.772-784
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    • 2024
  • The hexagonal nodal code RENUS has been enhanced to handle irregularly deformed hexagonal assemblies. The underlying RENUS methods involving triangle-based polynomial expansion nodal (T-PEN) and corner point balance (CPB) were extended in a way to use line and surface integrals of polynomials in a deformed hexagonal geometry. The nodal calculation is accelerated by the coarse mesh finite difference (CMFD) formulation extended to unstructured geometry. The accuracy of the unstructured nodal solution was evaluated for a group of 2D SFR core problems in which the assembly corner points are arbitrarily displaced. The RENUS results for the change in nuclear characteristics resulting from fuel deformation were compared with those of the reference McCARD Monte Carlo code. It turned out that the two solutions agree within 18 pcm in reactivity change and 0.46% in assembly power distribution change. These results demonstrate that the proposed unstructured nodal method can accurately model heterogeneous thermal expansion in hexagonal fueled cores.

Study on Evaluation Method of Structural Integrity for Cone-Type Composite Lattice Structures with Hexagonal Cell (육각 격자구조를 갖는 콘형 복합재 격자구조체의 구조안전성 평가 기법 연구)

  • Im, Jae-Moon;Kang, Seung-Gu;Shin, Kwang-Bok;Lee, Sang-Woo
    • Composites Research
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    • v.31 no.4
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    • pp.156-160
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    • 2018
  • In this paper, evaluation method of structural integrity for cone-type composite lattice structures with hexagonal cell was conducted. A finite element analysis was used to evaluate the structural integrity of cone-type composite lattice structure. The finite element model for evaluation of structural integrity was generated using solid element. In order to consider the difference in mechanical properties between intersection and non-intersection part, the mechanical properties were applied considering the fiber volume fraction of each part. Compression test of cone-type composite lattice structure were conducted for verification of evaluation method of structural integrity. The analysis result showed 2% errors in displacement and good agreement with test result.

Prediction of Rolling Texture for Mg Alloy AZ31B Sheet using Finite Element Polycrystal Model (유한요소 다결정 모델을 이용한 마그네슘 합금 AZ31B 판재의 압연 집합 조직 예측)

  • Won S. Y.;Kim Y. S.;Na K. H.;Takahashi Hiroshi
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.08a
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    • pp.72-82
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    • 2004
  • The deformation mechanism of hexagonal close-packed materials is quite complicate including slips and twins. A deformation mechanism, which accounts for both slip and twinning, was investigated for polycrystalline hop materials. The model was developed in a finite element polycrystal model formulated with initial strain method where the stiffness matrix in FEM is based on the elastic modulus. We predicted numerically the texture of Mg alloy(AZ31B) sheet by using FEM based on crystal plasticity theory. Also, we introduced the recrystallized texture employed the maximum energy release theory after rolling. From the numerical study, it was clarified that the shrink twin could not be the main mechanism for shortening of c-axis, because the lattice rotation due to twin rejects fur c-axis to become parallel to ND(normal direction of plate). It was showed that the deformation texture with the pyramidal slip gives the ring type pole figure having hole in the center.

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레이저 간섭 리소그래피를 이용한 2차원 나노 패턴 형성 및 수열합성법을 이용한 ZnO 나노 기둥 2차원 Bravais 격자 제조

  • Kim, Jin-Hyeok;Kim, Tae-Eon;Kim, Jin-A;Mun, Jong-Ha
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2009.05a
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    • pp.51.2-51.2
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    • 2009
  • 본 실험에서는 레이저 간섭 리소그래피를 이용한 2차원 나노 패턴을 형성하였고, 수열합성법을 이용하여 90 도에서 ZnO 나노 기둥을 ZnO/Si 기판 상에 제작 하였다. ZnO 버퍼층은 스퍼터를 이용하여 200도, Ar 분위기에서 증착 하였으며, 레이저 간섭 리소그래피를 이용하여 두 번의 노광을 통해 2차원 나노 패턴을 형성하였다. 먼저, 최적화된 포토레지스트를 ZnO/Si 기판 위에 도포하고, 2500rpm에서 30초간 스핀코팅 한 후, 첫번째 노광을 실시 하였고, ZnO/Si 기판을 회전시켜 첫번째 노광과 교차 시킨 다음 두 번째 노광을 통해 교차하는 부분만 현상되도록 하였다. 기판의 회전 및 기판과 입사 레이저 사이의 각도를 조절하여 제작된 나노 패턴의 종류는 square lattice, centered rectangular lattice, oblique lattice, hexagonal lattice, rectangular lattice, 5가지로, 2차원의 모든 격자를 제작 하였다. 저온 수열합성법에서는 Na citrate를 형상제어제 (surfactant ions)로 사용하여 ZnO 나노 기둥을 형성하였다. $NH_4OH$를 이용하여 용액의 pH를 조절하였고, Zn nitrate hexahydrate를 Zn의 원료 물질로 사용하였다. 2차원 나노 패턴의 3차원 형태는 Atomic force microscopy (AFM, Veeco instruments, USA)를 이용하여 접촉 모드에서 관찰하였고, ZnO 나노 구조는 주사 전자 현미경 (FE-SEM, Model: JSM-6701F, Tokyo, Japan) 를 통하여 분석 하였다. 나노 패턴의 AFM 분석 결과 ZnO/Si 기판상에 포토레지스트가 주기적인 배열을 가지는 것을 확인하였고, ZnO/Si 기판상에 포토레지스트가 완전히 현상된 부분이 일정한 배열을 가지는 것을 확인하였다. 포토레지스트가 현상되어 기판의 표면이 드러난 부분의 크기는 약 250nm로 측정되었다. ZnO 나노 구조의 FE-SEM 분석 결과, 각각의 나노 구조가 나노패턴 중 완전히 현상된 부분만을 통하여 성장되었다는 것을 확인하였고, 형상 제어제로 사용된 Na citrate의 첨가 여부에 따라 나노 구조의 모양이 변화되었다는 것을 알 수 있었다. Na citrate 가 첨가된 나노 기둥의 경우 약 500nm의 길이를 가지는 하나의 기둥 형태로 성장하였다는 것을 확인하였다.

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APOLLO3 homogenization techniques for transport core calculations-application to the ASTRID CFV core

  • Vidal, Jean-Francois;Archier, Pascal;Faure, Bastien;Jouault, Valentin;Palau, Jean-Marc;Pascal, Vincent;Rimpault, Gerald;Auffret, Fabien;Graziano, Laurent;Masiello, Emiliano;Santandrea, Simone
    • Nuclear Engineering and Technology
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    • v.49 no.7
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    • pp.1379-1387
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    • 2017
  • This paper presents a comparison of homogenization techniques implemented in the APOLLO3 platform for transport core calculations: standard scalar flux weighting and new flux-moment homogenization, in different combinations with (or without) leakage models. Besides the historical B1-homogeneous model, a new B-heterogeneous one has indeed been implemented recently in the two/three-dimensional-transport solver using the method of characteristics. First analyses have been performed on a very simple Sodium Fast Reactor core with a regular hexagonal lattice. They show that using the heterogeneous leakage model in association with flux-moment homogenization strongly improves the prediction of $k_{eff}$ and void reactivity effects. These good results are confirmed when the application is done to the fissile assemblies of the more complex CFV (Low Void Effect) core of the ASTRID (Advanced Sodium Technological Reactor for Industrial Demonstration) project of sodium-cooled fast breeder reactor (Generation IV).

A study on the analysis of the failure probability based on the concept of loss probability (결손확률모델에 의한 파손확률 해석에 관한 연구)

  • 신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.2037-2047
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    • 1991
  • Strength is not simply a single given value but rather is a statistical one with certain distribution functions. This is because it is affected by many unknown factors such as size, shape, stress distribution, and combined stresses. In this study, a model of loss probability is proposed in view of the fact that one of the fundamental configuration of nature is hexagonal, for example, the shapes of lattice unit, grain, and so on. The model sues the concept of loss of certain element in place of Jayatilaka-Trustrum's length and angle of cracks. Using this model, the loss probability due to each loss of certain elements is obtained. Then, the maximum principal stress is calculated by the finite element method at the centroid of the elements under the tensile load for the 4,095 models of analysis. Finally, the failure probability of the brittle materials is obtained by multiplying the loss probability by the ratio of the maximum principal stress to theoretical tensile strength. Comparison of the result of the Jayatilaka-Trustrum's model and the proposed model shows that the failure probabilities by the two methods are in good agreement. Further, it is shown that the parametric relationship of semi-crack lengths for various degrees of birittleness can be determined. Therefore, the analysis of the failure probability suing the proposed model is shown to be promising as a new method for the study of the failure probability of birttle materials.