• Title/Summary/Keyword: analytic geometry

검색결과 108건 처리시간 0.029초

Surface Discharge in Various Electrode Geometries

  • Joh, Dai-Geun;Kim, Hyun-Sook;Gill, Do-Hyun;Kim, Young-Goun;Choi, Eun-Ha;Cho, Guang-Sup
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2000년도 제1회 학술대회 논문집
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    • pp.111-112
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    • 2000
  • The breakdown characteristics of surface discharge investigated experimentally agree well with the analytic results of previous reports [1-3] in various electrode geometries. Additionally, we find that the electrode geometry effects on the firing voltage can be understood with the ionization probability relating to the number of priming particles. We have also observed the shape of surface discharge and the surface striations in the gap geometry with the pressure, the applied voltage, and the driving frequency.

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Verification of HELIOS-MASTER System Through Benchmark of Critical Experiments

  • Kim, Ha-Yong;Kim, Kyo-Youn;Oh, Cho-Byung;Lee, Chung-Chan;Zee, Sung-Quun
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1999년도 춘계학술발표회요약집
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    • pp.22-22
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    • 1999
  • The HELlOS-MASTER code system is verified through the benchmark of the critical experiments that were performed by RRC "Kurchatov Institute" with water-moderated hexagonally pitched lattices of highly enriched Uranium fuel rods (8Ow/o). We also used the same input by using the MCNP code that was described in the evaluation report, and compared our results with those of the evaluation report. HELlOS, developed by Scandpower A/S, is a two-dimensional transport program for the generation of group cross-sections, and MASTER, developed by KAERI, is a three-dimensional nuclear design and analysis code based on the two-group diffusion theory. It solves neutronics model with the AFEN (Analytic Function Expansion Nodal) method for hexagonal geometry. The results show that the HELIOSMASTER code system is fast and accurate enough to be used as nuclear core analysis tool for hexagonal geometry.ometry.

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Extension of AFEN Methodology to Multigroup Problems in Hexagonal-Z Geometry

  • Cho, Nam-Zin;Kim, Yong-Hee;Park, Keon-Woo
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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    • pp.142-147
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    • 1996
  • The analytic function expansion nodal (AFEN) method has been successfully applied to two-group neutron diffusion problems. In this paper, the AFEN method is extended to solve general multigroup equations for any type of geometries. Also, a suite of new nodal codes based on the extended AFEN theory is developed for hexagonal-z geometry and applied to several benchmark problems. Numerical results obtained attest to their accuracy and applicability to practical problems.

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A response matrix method for the refined Analytic Function Expansion Nodal (AFEN) method in the two-dimensional hexagonal geometry and its numerical performance

  • Noh, Jae Man
    • Nuclear Engineering and Technology
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    • 제52권11호
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    • pp.2422-2430
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    • 2020
  • In order to improve calculational efficiency of the CAPP code in the analysis of the hexagonal reactor core, we have tried to implement a refined AFEN method with transverse gradient basis functions and interface flux moments in the hexagonal geometry. The numerical scheme for the refined AFEN method adopted here is the response matrix method that uses the interface partial currents as nodal unknowns instead of the interface fluxes used in the original AFEN method. Since the response matrix method is single-node based, it has good properties such as good calculational efficiency and parallel computing affinity. Because a refined AFEN method equivalent nonlinear FDM response matrix method tried first could not provide a numerically stable solution, a direct formulation of the refined AFEN response matrix were developed. To show the numerical performance of this response matrix method against the original AFEN method, the numerical error analyses were performed for several benchmark problems including the VVER-440 LWR benchmark problem and the MHTGR-350 HTGR benchmark problem. The results showed a more than three times speedup in computing time for the LWR and HTGR benchmark problems due to good convergence and excellent calculational efficiency of the refined AFEN response matrix method.

Two-Parameter Study on the Jet Regurgitant Mode of Resonant Tube

  • Chang, Se-Myong;Lee, Soogab
    • The Journal of the Acoustical Society of Korea
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    • 제19권2E호
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    • pp.20-26
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    • 2000
  • A conceptual simplified model of Hartmann-Sprenger tube is suggested and investigated to decouple the regurgitant mode in the present paper. In spite of high nonlinearity, the acoustic behavior of this resonant tube system is dependent on wavelength and depth of the tube. The effect of forcing frequency and tube geometry on jet regurgitant mode are studied and discussed. With a conventional axisymmetric Euler code, sensitive acoustic problems are solved and validated by comparison with analytic theories.

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변환 기하학적 관점에서 본 타원의 지도 방안 (Teaching method of the ellipse in Transformation Geometry)

  • 조차미
    • 대한수학교육학회지:학교수학
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    • 제14권3호
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    • pp.331-355
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    • 2012
  • 타원의 지도 방법은 학생들이 직접 두 점으로부터 거리의 합이 같은 점들을 그려서 타원의 모양이 나오는 것을 확인한 후에 두 정점으로부터의 거리의 합이 일정한 점들의 자취라는 타원을 정의를 알게 하는 것이다. 이 과정에서 학생들은 스스로 정의를 생각하거나 만들어 낼 기회를 갖지 못하며 왜 이러한 정의가 만들어 졌는지에 대해 의문을 갖게 된다. 본 논문은 원과 타원의 유사성을 바탕으로 타원을 정의하고 방정식을 유도하는 방법을 소개한다. 이러한 방법은 현재 학교수학에서 다루는 해석기하적인 관점과 더불어 변환 기하학적 관점을 도입함으로서 가능하다. 이를 통해 타원에 대한 본질적인 이해와 직관을 통해 확장 가능한 타원의 성질에 대해 논의하고, 변환 기하학적 관점에서 정의하는 방법이 주는 다양한 이점을 알아보고자 한다.

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근사개념 지도를 위한 관련 지식의 교수학적 고찰 (A study on the pedagogical consideration of the related knowledge for teaching 'Approximation' conception)

  • 정영우;이목화;김부윤
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제26권1호
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    • pp.137-154
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    • 2012
  • 미적분학에서 '근사(approximation)'는 핵심 개념 가운데 하나인데, 이를 설명하기 위한 기본 개념은 '접선(tangent)'이며, 접선은 특별한 조건을 가지는 '직선(line)'이다. 본 연구에서는 미적분학의 이론적 기초가 되는 이들 수학적 지식에 대해 중등학교 기하지도 관점에 기초하여 교수학적 고찰을 하고, 이와 관련하여 개연성 있는 지도를 위한 주안점과 지도 방안을 제안한다. 이를 위해 유클리드 기하학에서의 점, 선, 원, 직선, 접선, 근사에 대해 알아보고, 이를 해석 기하학으로 번역하는 과정을 통해 대수적 조작을 위한 수학적 지식들을 유의미하게 유도한다. 그리고 현대수학의 관점으로 이를 발전시켜 근사를 위한 수학적 지식들의 유선(流線, stream line)을 구성한다. 또한 이를 바탕으로 직선, 접선 그리고 근사에 관한 학교수학의 내용을 고찰하여 지도의 주안점과 지도 방안을 모색한다. 이러한 연구는 교사들에게 교수학적 내용지식을 주며, 이들 수학적 지식을 개연성 있게 지도할 수 있는 수업모델 개발에 대한 기초를 제공한다. 나아가 학생들에게 수학이 계통적 학문이라는 것과 학교수학이 뚜렷한 목적성 아래 구성된 활동이라는 것을 인식하게 한다.

The Analytic and Numerical Solutions of the 1$\frac{1}{2}$-layer and 2$\frac{1}{2}$-layer Models to the Strong Offshore Winds.

  • Lee, Hyong-Sun
    • Journal of the korean society of oceanography
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    • 제31권2호
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    • pp.75-88
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    • 1996
  • The analytic and numerical solution of the 1$\frac{1}{2}$-layer and 2$\frac{1}{2}$-layer models are derived. The large coastal-sea level drop and the fast westward speed of the anticyclonic gyre due to strong offshore winds using two ocean models are investigated. The models are forced by wind stress fields similar in structure to the intense mountain-pass jets(${\sim}$20 dyne/$cm^{2}$) that appear in the Gulfs of Tehuantepec and Papagayo in the Central America for periods of 3${\sim}$7 days. Analytic and numerical solutions compare favorably with observations, the large sea-level drop (${\sim}$30 cm) at the coast and the fast westward propagation speeds (${\sim}$13 km/day) of the gyres. The coastal sea-level drop is enhanced by several factors: horizontal mixing, enhanced forcing, coastal geometry, and the existence of a second active layer in the 2$\frac{1}{2}$-layer model. Horizontal mixing enhances the sea-level drop because the coastal boundary layer is actually narrower with mixing. The forcing ${\tau}$/h is enhanced near the coast where h is thin. Especially, in analytic solutions to the 2$\frac{1}{2}$-layer model the presence of two baroclinic modes increases the sea-level drop to some degree. Of theses factors the strengthened forcing ${\tau}$/h has the largest effect on the magnitude of the drop, and when all of them are included the resulting maximum drop is -30.0 cm, close to observed values. To investigate the processes that influence the propagation speeds of anticyclonic gyre, several test wind-forced calculations were carried out. Solutions to dynamically simpler versions of the 1$\frac{1}{2}$-layer model show that the speed is increased both by ${\beta}$-induced self-advection and by larger h at the center ofthe gyres. Solutions to the 2$\frac{1}{2}$-layer model indicate that the lower-layer flow field advects the gyre westward and southward, significantly increasing their propagation speed. The Papagayo gyre propagates westward at a speed of 12.8 km/day, close to observed speeds.

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Development of an Analytic Software Using Pencil Beam Scanning Proton Beam

  • Jeong, Seonghoon;Yoon, Myonggeun;Chung, Kwangzoo;Han, Youngyih;Lim, Do Hoon;Choi, Doo Ho
    • 한국의학물리학회지:의학물리
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    • 제28권1호
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    • pp.22-26
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    • 2017
  • We have developed an analytic software that can easily analyze the spot position and width of proton beam therapy nozzles in a periodic quality assurance. The developed software consists of an image processing method that conducts an analysis using center-of-spot geometry and a Gaussian fitting method that conducts an analysis through Gaussian fitting. By using the software, an analysis of 210 proton spots with energies 150, 190, and 230 MeV showed a deviation of approximately 3% from the mean. The software we developed to analyze proton spot positions and widths provides an accurate analysis and reduces the time for analysis.