• Title/Summary/Keyword: Spherical Geometry

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Trivariate B-spline Approximation of Spherical Solid Objects

  • Kim, Junho;Yoon, Seung-Hyun;Lee, Yunjin
    • Journal of Information Processing Systems
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    • v.10 no.1
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    • pp.23-35
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    • 2014
  • Recently, novel application areas in digital geometry processing, such as simulation, dynamics, and medical surgery simulations, have necessitated the representation of not only the surface data but also the interior volume data of a given 3D object. In this paper, we present an efficient framework for the shape approximations of spherical solid objects based on trivariate B-splines. To do this, we first constructed a smooth correspondence between a given object and a unit solid cube by computing their harmonic mapping. We set the unit solid cube as a rectilinear parametric domain for trivariate B-splines and utilized the mapping to approximate the given object with B-splines in a coarse-to-fine manner. Specifically, our framework provides user-controllability of shape approximations, based on the control of the boundary condition of the harmonic parameterization and the level of B-spline fitting. Experimental results showed that our method is efficient enough to compute trivariate B-splines for several models, each of whose topology is identical to a solid sphere.

Neutronics modeling of bubbles in bubbly flow regime in boiling water reactors

  • Turkmen, Mehmet;Tiftikci, Ali
    • Nuclear Engineering and Technology
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    • v.51 no.5
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    • pp.1241-1250
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    • 2019
  • This study mainly focused on the neutronics modeling of bubbles in bubbly flow in boiling water reactors. The bubble, ring and homogenous models were used for radial void fraction distribution. Effect of the bubble and ring models on the infinite multiplication factor and two-group flux distribution was investigated by comparing with the homogenous model. Square pitch unit cell geometry was used in the calculations. In the bubble model, spherical and non-spherical bubbles at random positions, sizes and shapes were produced by Monte Carlo method. The results show that there are significant differences among the proposed models from the viewpoint of physical interaction mechanism. For the fully-developed bubbly flow, $k_{inf}$ is overestimated in the ring model by about $720{\pm}6pcm$ with respect to homogeneous model whereas underestimated in the bubble model by about $-65{\pm}9pcm$ with a standard deviation of 15 pcm. In addition, the ring model shows that the coolant must be separated into regions to properly represent the radial void distribution. Deviations in flux distributions principally occur in certain regions, such as corners. As a result, the bubble model in modeling the void fraction can be used in nuclear engineering calculations.

Investigating the deflection of GLARE and CARALL laminates under low-velocity impact test, experimentally and FEM simulation

  • Meisam Mohammadi;Mohammad Javad Ramezani
    • Steel and Composite Structures
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    • v.47 no.3
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    • pp.395-403
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    • 2023
  • The main objective of this article is to investigate the response of different fiber metal laminates subjected to low velocity impact experimentally and numerically via finite element method (FEM). Hence, two different fiber metal laminate (FML) samples (GLARE/CARALL) are made of 7075-T6 aluminum sheets and polymeric composites reinforced by E-glass/carbon fibers. In order to study the responses to the low velocity impacts, samples are tested by drop weight machine. The projectiles are released from 1- and 1.5-meters height were the speed reaches to 4.42 and5.42 meter per second and the impact energies are measured as 6.7 and 10 Joules. In addition to experimental study, finite element simulation is done and results are compared. Finally, a detailed study on the maximum deflection, delamination and damages in laminates and geometry's effect of projectiles on the laminate response is done. Results show that maximum deflection caused by spherical projectile for GLARE samples is more apparent in comparison with the CARALL samples. Moreover, the maximum deflection of GLARE samples subjected to spherical projectile with 6.7 Joules impact energy, 127% increases in comparison with the CARALL samples in spite of different total thickness.

Effect of Complex with Metal Ions of G4-48PyA Dendrimer Thin Films (G4-48PyA 덴드리머 박막의 금속이온 착체 효과)

  • Jung, S.B.;Yoo, S.Y.;Park, E.;Kim, C.;Park, J.C.;Kwon, Y.S.
    • Proceedings of the KIEE Conference
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    • 2001.11a
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    • pp.131-133
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    • 2001
  • Dendrimers represent a new class of synthetic macromolecules characterized by a regularly branched treelike structure. Peculiar features of the dendritic geometry are the large number of end groups as well as the shape persistence in higher generations, approaching spherical geometry. And one of the most peculiar characteristics of dendritic macromolecules is their controlled molecular structure and orientation, which means that they have a practical application in achieving a highly organized molecular arrangement. We attempted to fabricate a G4-48PyA dendrimer LB films containing 48 pyridinealdoxime functional end group that could form a complex structure with metal ions. Also, we investigated the surface activity of dendrimer films at air-water interface. And we have studied the electrical properties of the ultra-thin dendrimer LB films. The electrical properties of the ultra-thin dendrimer LB films were investigated by studying the current-voltage characteristics of metal/dendrimer LB films/metal (MIM) structure. And rectifying behavior of the devices was occurred in applied field.

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Electrical Properties of LB Films Using Dendritic Macromolecules Containing Pyridinealdoxime Functional Group (Pyridinealdoxime 기능기 그룹을 가진 덴드리틱 거대분자를 이용한 LB막의 전기적 특성)

  • 정상범;유승엽;박은미;김정균;박재철;권영수
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.761-763
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    • 2001
  • Dendrimers represent a new class of synthetic macromolecules characterized by a regularly branched treelike structure. Dendrimer can be made with high regularity and controlled molecular weight. Peculiar features of the dendritic geometry are the large number of end groups as well as the shape persistence in higher generations, approaching spherical geometry. One of the most peculiar characteristics of dendritic macromolecules is their controlled molecular structure and orientation, which means that they have a practical application in achieving a highly organized molecular arrangement. We attempted to fabricate a G4-48PyA dendrimer LB films containing 48 pyridinealdoxime functional end group that could form a complex structure with metal ions. Also, we investigated the surface activity of dendrimer films at air-water interface. And we have studied the electrical properties of the ultra-thin dendrimer LB films. The electrical properties of the ultra-thin dendrimer LB films were investigated by studying the current-voltage(I-V) characteristics of metal/dendrimer LB films/metal (MIM) structure. And rectifying behavior of the devices was occurred in applied field.

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Electrical Properties of G4-48PyP Dendrimer LB Films complex with Metal Ions (금속이온 착체에 의한 G4-48PyP 덴드리머 LB막의 전기적 특성)

  • Jung, S.B.;Yoo, S.Y.;Park, J.C.;Kwon, Y.S.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07b
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    • pp.769-772
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    • 2002
  • Dendrimers are well-defined macromolecules exhibiting a tree-like structure, first derived by the cascade molecule approach. Peculiar features of the dendritic geometry are the large number of end groups as well as the shape persistence in higher generations, approaching spherical geometry. And one of the most peculiar characteristics of dendritic macromolecules is their controlled molecular structure and orientation, which means that they have a practical application in achieving a highly organized molecular arrangement. We attempted to fabricate a dendrimer LB films containing 48 pyridinepropanol functional end group. As the pyridinepropanol functional group could form a complex structure with metal ions. We investigated the surface activity of dendrimer films at air-water interface compared with pure dendrimer and its complex with $Fe^{2+}$ ions into subphase. We though that metal ions are contributed to networking or branching reaction between dendrimers. And we expected that it can result in the differences on the electrical properties. We have studied the electrical properties of the ultra thin dendrimer LB films investigated by the current-voltage characteristics of metal dendrimer LB films/metal (MIM) structure.

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Interpretation of two SINBAD photon-leakage benchmarks with nuclear library ENDF/B-VIII.0 and Monte Carlo code MCS

  • Lemaire, Matthieu;Lee, Hyunsuk;Zhang, Peng;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • v.52 no.7
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    • pp.1355-1366
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    • 2020
  • A review of the documentation and an interpretation of the NEA-1517/74 and NEA-1517/80 shielding benchmarks (measurements of photon leakage flux from a hollow sphere with a central 14 MeV neutron source) from the SINBAD database with the Monte Carlo code MCS and the most up-to-date ENDF/B-VIII.0 neutron data library are conducted. The two analyzed benchmarks describe satisfactorily the energy resolution of the photon detector and the geometry of the spherical samples with inner beam tube, tritium target and cooling water circuit, but lack information regarding the detector geometry and the distances of shields and collimators relatively to the neutron source and the detector. Calculations are therefore conducted for a sphere model only. A preliminary verification of MCS neutron-photon calculations against MCNP6.2 is first conducted, then the impact of modelling the inner beam tube, tritium target and cooling water circuit is assessed. Finally, a comparison of calculated results with the libraries ENDF/B-VII.1 and ENDF/B-VIII.0 against the measurements is conducted and shows reasonable agreement. The MCS and MCNP inputs used for the interpretation are available as supplementary material of this article.

PHOTOIONIZATION MODELS OF THE WARM IONIZED MEDIUM IN THE GALAXY (우리은하 중온 이온화 매질의 광이온화 모델)

  • Seon, Kwang-Il
    • Publications of The Korean Astronomical Society
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    • v.22 no.4
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    • pp.89-95
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    • 2007
  • The warm ionized medium (WIM) outside classical H II regions is a fundamental gas-phase constituent of the Milky Way and other late-type spiral galaxies, and is traced by faint emission lines at optical wavelengths. We calculate the photoionization models of the WIM in the Galaxy by a stellar UV radiation with the effective temperature 35,000 K assuming not only spherical geometry but also plane parallel geometry, and compare the results with the observed emission line ratios. We also show the dependence of the emission line ratios on various gas-phase abundances. The emergent emission-line ratios are in agreement with the average-values of observed ratios of [S II] ${\lambda}6716/H{\alpha}$, [N II] ${\lambda}6583/H{\alpha}$, [O I] ${\lambda}6300/H{\alpha}$, [O III] ${\lambda}5007/H{\alpha}$, He I ${\lambda}5876/H{\alpha}$. However, their extreme values could not be explained with the photoionization models. It is also shown that the addition of all stellar radiation from the OB stars in the Hipparcos stellar catalog resembles that of an O7-O8 type star.

Using Spheroid Fish-eye Lens Distortion Correction for Image-based Virtual Environment Navigation (실사 가상환경 항해를 위해 Spheroid를 이용한 어안렌즈의 왜곡보정)

  • Shin Ju-Hong;Nam Dong-Hwan;Kwon Gi-Jun;Jung Soon Ki
    • Proceedings of the Korea Information Processing Society Conference
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    • 2004.11a
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    • pp.829-832
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    • 2004
  • 실제영상으로 가상환경을 구축해서 사용자가 가상환경을 돌아다님으로써 보다 큰 몰입감과 현실감을 제공하는 영상기반 가상현실 기술은 최근 들어 웹 기반 가상현실시스템을 구축하기 위해서 많이 사용된다. 이 기술은 가상환경 구축에 있어 항해를 쉽게 하기 위한 한 방법으로 넓은 시각 영역(field of view)을 얻을 수 있는 wide-angle 렌즈를 흔히 사용한다. 어안렌즈(fish-eye lens)는 전형적인 넓은 시각 영역을 가진 렌즈로서, 매우 큰 radial distortion 을 가진다. 왜곡을 없앤 영상을 얻기 위해 본 논문에서는 구면기하(spherical geometry) 및 사영기하(projective geometry)를 사용하여 어안영상을 보정하는 non-metric기법을 제안한다. 제안한 이 방법은, 기존의 방법들 보다는 쉽고 빠른 속도로 왜곡을 보정할 수 있으므로 어안영상의 왜곡을 보정하는 하드웨어를 효율적으로 구현할 수 있다. 그리고 spheroid 를 이용해 좀 더 왜곡을 정확히 보정방법과 별도의 서보 모터 없이 pan/title 를 가능케 하는 시점이동에 따른 왜곡 보정 방법을 제시한다.

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Study on RF Plasma Modeling Between Unequal-Sized Electrodes Using One-dimensional Fluid Method (비대칭 전극계에서의 1차원적 RF 플라즈마 모델링에 관한 연구)

  • So Soon-Youl;Lim Jang-Seob
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.5
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    • pp.35-41
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    • 2004
  • In computational study on RF(Radio Frequency) plasmas, a 1D fluid models with an advantage of a short computational time are often adopted. However, in order to obtain realistic calculation results under a typical chamber geometry with unequal-sized electrodes, modeling of the plasma space is an issue to be investigated. In this paper, it is focused on that how much a 1D model can approximate a 2D model. 1D fluid models with unequal-sized electrodes, which have spherical and frustum geometry systems, were developed and their results were compared with those of 2D model with Gaseous Electronic Conference cell structure. Behavior of $N_2$ RF plasmas has been simulated using 1D and 2D fluid models and a technique to take account of unequal-sized electrodes in a 1D fluid models has been examined. Features of the plasma density and the electric potential were discussed as characteristic quantities representing the asymmetry of the chamber geometry.