• Title/Summary/Keyword: Geometries

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Numerical Wave Refraction Model (굴절에 의한 천해파 계정법)

  • 서승남;오병철;강시환
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.15-21
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    • 1989
  • A simple numerical refraction model is presented. The model takes into account refraction, shoaling and bottom dissipation. Eikonal equation and equation of energy conservation are discretized by an explicit finite-difference method, which provides wave angle and height at each grid point, respectively. Applications of the model were made to simple geometries as well as complex geometries, and some advantages on computing time and stability have been observed.

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Pythagorean Theorem III : From the perspective of equiangular quadrilaterals (피타고라스의 정리 III : 등각사각형의 관점에서)

  • Jo, Kyeonghee
    • Journal for History of Mathematics
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    • v.33 no.3
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    • pp.155-165
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    • 2020
  • Pythagorean theorem is a proposition on the relationship between the lengths of three sides of a right triangle. It is well known that Pythagorean theorem for Euclidean geometry deforms into an interesting form in non-Euclidean geometry. In this paper, we investigate a new perspective that replaces right triangles with 'proper triangles' so that Pythagorean theorem extends to non-Euclidean geometries without any modification. This is seen from the perspective that a rectangle is an equiangular quadrilateral, and a right triangle is a half of a rectangle. Surprisingly, a proper triangle (defined by Paolo Maraner), which is a half of an equiangular quadrilateral, satisfies Pythagorean theorem in many geometries, including hyperbolic geometry and spherical geometry.

Development of an Automatic Mesh-Generation Program in Irregular Domains (불규칙영역에서의 격자망 자동발생 프로그램의 개발)

  • 김성희;권순국
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.2
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    • pp.21-30
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    • 1995
  • In order to save time and efforts in generating finite element meshes in irregular houndaries of domains, it is needed to develop an automatic mesh-generator which can hoth promote the accuracy of solutions and reduce the run-time in operating finite ele- ment models. In this study, the advancing front technique of triangular mesh generation and the transforming technique from triangular meshes to quadrilateral meshes were used to de- velop a computer program for the automatic triangular and quadrilateral meshes in the mixed shape. Furthermore, to enhance the quadrilateral mesh quality, the techniques of Laplancian smoothing and interior mesh modification were employed. The mesh genera- tor was applied to evaluate its applicability to irregular and complex geometries such as Nakdong river bay. In has hoen shown that the automatic mesh generator developed is capable of automatically generating meshes for irreguiar and complex geometries with high qualities of meshes and with the simple input data of arbitrarily specified nodal spacing in bound- aries.

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Effect of substrates on the geometries of as-grown carbon coils

  • Park, Semi;Kim, Sung-Hoon;Kim, Saehyun;Jo, Insu
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2012.11a
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    • pp.163-164
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    • 2012
  • Carbon coils could be synthesized using $C_2H_2/H_2$ as source gases and $SF_6$ as an incorporated additive gas under thermal chemical vapor deposition system. The substrate with oxygen incorporation and the substrate without oxygen incorporation were employed to elucidate the effect of substrate on the formation of carbon coils. The characteristics (formation densities, morphologies, and geometries) of the deposited carbon coils on the substrate were investigated. In case of Si substrate, the microsized carbon coils were dominant on the substrate surface. While, in case of oxygen incorporated substrate, the nanosized carbon coils were prevail on the substrate surface. The cause for the different geometry formation of carbon coils according to the different substrates was discussed in association with the different thermal expansion coefficient values between the substrate with oxygen incorporation and the substrate without oxygen incorporation.

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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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    • 2000.01a
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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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Spectral density functions of wind pressures on various low building roof geometries

  • Kumar, K. Suresh;Stathopoulos, T.
    • Wind and Structures
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    • v.1 no.3
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    • pp.203-223
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    • 1998
  • This paper describes in detail the features of an extensive study on Spectral Density Functions (SDF's) of wind pressures acting on several low building roof geometries carried out in a boundary layer wind tunnel. Various spectral characteristics of wind pressures on roofs with emphasis on derivation of suitable analytical representation of spectra and determination of characteristic spectral shapes are shown. Standard spectral shapes associated with various zones of each roof and their parameters are provided. The established spectral parameters can be used to generate synthetic spectra adequate for the simulation of wind pressure fluctuations on building surfaces in a generic fashion.

Conformational Investigations of HMPAO Isomers and Their Zinc(II) Complexes

  • Ruangpornvisuti, Vithaya;Pulpoka, Buncha;Tuntulani, Thawatchai;Thipyapong, Khajadpai;Suksai, Chomchai
    • Bulletin of the Korean Chemical Society
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    • v.23 no.4
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    • pp.555-562
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    • 2002
  • Isomers based on the RS and EZ geometrical isomerism of the neutral, deprotonated species of HMPAO and their complexes with zinc(Ⅱ) ion have been investigated by semiempirical AM1 optimization method. The Hartree-Fock energies on AM1 geometries o f HMPAO species were calculated with HF/6-31G* methods. Twenty-two isomers of the neutral and twenty isomers of the deprotonated species of HMPAO have been found. The presence of four EE-series isomers of both zinc(Ⅱ) complexes with the neutral and deprotonated HMPAO have been expected and the SREE typical isomer of both types of complexes is the most stable isomer. Energies of complexation of zinc(Ⅱ)/HMPAO isomers with AM1 geometries were calculated by HF/ 6-31G*method. Due to the complexations with zinc(Ⅱ), the structural reorganizations of some isomers of the neutral HMPAO have been occurred. The optimized geometrical parameters of the related conformations have been discussed in terms of their stabilities and existences.

Improvement of the Accuracy of Optical Simulation Using by the Multi-cube UV Source in PDP Cells (Multi-cube UV source 이용한 PDP에서 광학시뮬레이션의 정확성 개선에 관한 연구)

  • Kang, Jung-Won;Eom, Chul-Whan
    • Journal of the Semiconductor & Display Technology
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    • v.6 no.2 s.19
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    • pp.41-44
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    • 2007
  • Optical simulation of the rear and front panel geometries were needed to improve the luminance and efficiency in PDP cells. The 3-dimensional optical code can be used to analyze the variation of geometries and changing of optical properties. In order to improve the accuracy of simulated results, a new UV source, called a multi-cubes UV source, was designed. To design the source, at first UV distribution was calculated with the plasma fluid code and then the UV distribution was transformed to the multi-cube structures in the optical code. Compared to the results from existing UV source, called a planar UV source, could be improved the accuracy of visible light distribution. Simulated results were also compared to the visible distribution measured with the ICCD in a real PDP cell.

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A Blocker Design Using a Low Pass Filter (저역 통과 필터를 사용한 예비가공형 설계)

  • 오수익;윤성만;박동진;오진용
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.118-132
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    • 1994
  • This paper investigates a new method to design blocker geometry in rib-web type closed die forging. By examining various forging and blocker geometries, it was found that blocker geometry can be generated by eliminating high frequency mode from finisher geometry. In order to formalize the procedure, low pass filters, which can convert finisher to blocker geometry, are proposed. Also discrete Fourier transform is used for computational efficiency. The blocker geometry designed by the present method are compared with the one by an experienced designer. The blocker geometries are also validated by using FEM simulation. Present results shows that the frequency approach may offer a promising method to design blocker automatically.

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Fluid Flow in the Fluidized Bed Shell and Tube Type Heat Exchanger with Corrugated Tubes (파형관 튜브가 있는 순환유동층 원통다관형 열교환기 내의 유체유동)

  • 안수환;이병창;배성택
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.15 no.5
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    • pp.406-412
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    • 2003
  • An experimental study was carried on the characteristics of fluid flow and heat transfer in a fluidized bed shell-and-tube type heat exchanger with corrugated tubes. Seven different solid particles having same volume were circulated in the tubes. The effects of various parameters such as water flow rates, particle geometries and materials, and geometries of corrugated tubes on relative velocities and drag coefficients were investigated. The present work showed that the drag force coefficients of particles in the corrugated tubes were usually lower than those in the smooth tubes, meanwhile the relative velocities between particles and water in the corrugated tubes were little higher than those in the smooth tubes except the glass.