• Title/Summary/Keyword: triangular elements

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Sum Rate Approximation of Zero-Forcing Beamforming with Semi-Orthogonal User Selection

  • Yang, Jang-Hoon;Jang, Seung-Hun;Kim, Dong-Ku
    • Journal of Communications and Networks
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    • v.12 no.3
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    • pp.222-230
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    • 2010
  • In this paper, we present a closed-form approximation of the average sum rate of zero-forcing (ZF) beamforming (BF) with semi-orthogonal user selection (SUS). We first derive the survival probability associated with the SUS that absolute square of the channel correlation between two users is less than the orthogonalization level threshold (OLT).With this result, each distribution for the number of surviving users at each iteration of the SUS and the number of streams for transmission is calculated. Secondly, the received signal power of ZF-BF is represented as a function of the elements of the upper triangular matrix from QR decomposition of the channel matrix. Thirdly, we approximate the received signal power of ZF-BF with the SUS as the maximum of scaled chisquare random variables where the scaling factor is approximated as a function of both OLT and the number of users in the system. Putting all the above derivations and order statistics together, the approximated ergodic sum rate of ZF-BF with the SUS is shown in a closed form. The simulation results verify that the approximation tightly matches with the sample average for any OLT and even for a small number of users.

A Study on Interaction of Estuarial Water and Sediment Transport (하구수와 표사의 상호작용에 관한 연구)

  • Lee, H.;Lee, J.W.
    • Journal of Korean Port Research
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    • v.14 no.4
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    • pp.451-461
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    • 2000
  • The design and maintenance of navigation channel and water facilities of an harbor which is located at the mouth of river or at the estuary area are difficult due to the complexity of estuarial water and sediment circulation. Effects of deepening navigable waterways, of changing coastline configurations, or of discharging dredged material to the open sea are necessary to be investigated and predicted in terms of water quality and possible physical changes to the coastal environment. A borad analysis of the transport mechanism in the estuary area was made in terms of sediment property, falling velocity, concentration and flow characteristics. In order to simulate the transport processes, a two-dimensional finite element model is developed, which includes erosion, transport and deposition mechanism of suspended sediments. Galerkin’s weighted residual method is used to solve the transient convection-diffusion equation. The fluid domain is subdivided into a series of triangular elements in which a quadratic approximation is made for suspended sediment concentration. Model could deal with a continuous aggregation by stipulating the settling velocity of the flocs in each element. The model provides suspended sediment concentration, bed shear stress, erosion versus deposition rate and bed profile at the given time step.

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Applications of Implicit Discontinuous Galerkin Method to Shallow Water Equations (불연속 갤러킨 음해법의 천수방정식 적용)

  • Lee, Haegyun;Lee, Namjoo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.6
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    • pp.569-574
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    • 2020
  • Though the discontinuous Galerkin (DG) method has been developed and applied to shallow water equations mainly in explicit schemes, they have been criticized for the limitation in treatment of bottom friction terms and severe CFL conditions. In this study, an implicit scheme is devised and applied to some representative benchmark problems. The linear triangular elements were employed and the Roe numerical fluxes were adopted for convective fluxes. To preserve TVD property, the slope limiter was employed. As the case studies, the model is applied to the flow around the cylinders and the dam-break flow. Then, the results are compared with the experimental and numerical data of previous studies and good agreements were observed.

Isonumber based Iso-Key Interchange Protocol for Network Communication

  • Dani, Mamta S.;Meshram, Akshaykumar;Pohane, Rupesh;Meshram, Rupali R.
    • International Journal of Computer Science & Network Security
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    • v.22 no.2
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    • pp.209-213
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    • 2022
  • Key exchange protocol (KEP) is an essential setup to secure authenticates transmission among two or more users in cyberspace. Digital files protected and transmitted by the encryption of the files over public channels, a single key communal concerning the channel parties and utilized for both to encrypt the files as well as decrypt the files. If entirely done, this impedes unauthorized third parties from imposing a key optimal on the authorized parties. In this article, we have suggested a new KEP term as isokey interchange protocol based on generalization of modern mathematics term as isomathematics by utilizing isonumbers for corresponding isounits over the Block Upper Triangular Isomatrices (BUTI) which is secure, feasible and extensible. We also were utilizing arithmetic operations like Isoaddition, isosubtraction, isomultiplication and isodivision from isomathematics to build iso-key interchange protocol for network communication. The execution of our protocol is for two isointegers corresponding two elements of the group of isomatrices and cryptographic performance of products eachother. We demonstrate the protection of suggested isokey interchange protocol against Brute force attacks, Menezes et al. algorithm and Climent et al. algorithm.

Terahertz Complex Refractive Index and Guiding of White Staghorn Coral

  • Kang, Chul;Kim, Myunghwan;Kim, Hyeongmun;Park, Jin Young;Kim, Bok Hyeon;Maeng, Inhee;Choi, SooBong;Kim, Soeun;Kee, Chul-Sik
    • Current Optics and Photonics
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    • v.5 no.4
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    • pp.370-374
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    • 2021
  • Corals are the remains of animals that grow on warm beaches. They have been used as decorative jewels because of their variety of colors, and as medicinal materials for treating cancers, AIDS, and other therapeutic uses because of their chemical elements. Corals are mainly composed of calcium carbonate (CaCO3) and have many air pores, tens to hundreds of micrometers in size. The refractive indices and absorption coefficients of dried sliced staghorn corals are investigated using terahertz time-domain spectroscopy. The measured values are similar to those for CaCO3, as expected. It is observed that a sample with a microstructure formed by air pores can guide terahertz waves. The dispersion, effective index, and loss of the guiding modes of coral core surrounded by five triangular air pores are numerically calculated. The simulated spatial distribution of the electric field of the guide mode at 1.25 THz shows the mode to be tightly confined to the core.

The Production Method for Recreating the Historical Costume of Civil Official Yi Seung-hyu from the Late Goryeo -Focusing on Everyday Attire- (고려 후기 문신(文臣) 이승휴(李承休)의 영정복식 재현 제작 방법 -편복(便服)을 중심으로-)

  • Choi, Jeong
    • Journal of the Korean Society of Clothing and Textiles
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    • v.46 no.1
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    • pp.147-164
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    • 2022
  • The aim of this study was to reproduce the ordinary attire of Yi Seung-hyu, a civil official and writer of the late Goryeo, which will be used to make a his portrait. The reproduced costume consists of a single-layered pyoui (表衣) and jungdan (中單), lined jeogori and baji, and geon (巾), created with reference to historical documents, materials, and portraits. The pyoui was made with samcheokbe, with an H-shaped neck-shoulder band, an oblique single collar, and rectangular gussets. Two skirts were attached on the inside at the back, similarly to dopo. The jungdan also has an oblique single collar, but has an I-shaped neck-shoulder band and triangular gussets. A flat felled seam stitch, whip stitch, and French seam stitch were used in the hemlines and seams of the pyoui and jungdan. The jeogori and baji were made with toju (土紬), and small ties were attached to stabilize them. The geon is a long, oblique hat, which has folded side lines, and was made with flexible black hangra and using a French seam stitch and backstitch. The results include the elements of "restoration, historical research, and portrait costume", and will be maintained as the cultural heritage of Samcheok City.

Geochemistry of the Country Rock of Eosangcheon Manganese Deposit (어상천망간광산 모암의 지구화학)

  • Lee, Jae Yeong;Hwang, Duk Hwan
    • Economic and Environmental Geology
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    • v.17 no.1
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    • pp.17-34
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    • 1984
  • The Ordovician limestone and dolomite was mineralized by the intrusion of quartz porphyry to form hydrothermal ore deposit along the fault shear zone, which trends $N30^{\circ}-40^{\circ}W$ dipping $60^{\circ}-70^{\circ}SW$. The primary manganese carbonates in the upper part of the deposit were oxidized to form supergene manganese ore deposits. The quartz porphyry is plotted mainly in granite region of the triangular diagram of normative composition. The granite phase contains more copper and lead, but less zinc, nickel and chromium than the granodiorite phase which occupies the northwestern part of the quartz porphyry. The content of copper, lead, zinc, nickel and chromium in the quartz porphyry is lower compared with the granitic rocks from the copper province in the Gyeongsang basin. But the granitic rocks from the lead-zinc province has lower content of copper and nickel than the quartz porphyry. The primary distribution pattern of trace elements in the country rock of limestone and dolomite has close relation with the hydrothermal mineralization, showing anomalous or high content near the fault shear zone. The secondary distribution pattern of trace elements in soils shows close relation with the solubility of the carbonates of the elements under weathering condition.

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Study on the effect of cable on the lateral behavior of S-shaped Pedestrian-CSB (S형 보도사장교의 케이블이 횡방향 거동에 미치는 영향 연구)

  • Ji, Seon-Geun;Yhim, Sung-Soon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.5
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    • pp.577-584
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    • 2019
  • Recently, CSB(Cable-Stayed Bridge) have been attempted to be atypical forms for landscape elements in Korea. CSB with new geometry need to analyze their characteristics clearly to ensure structural safety. This study's bridge is the S-shaped curved pedestrian CSB that has a girder with S-shape plane curve and reverse triangular truss cross section, inclined independent pylon, modified Fan type main cable and vertical backstay cable. Curved CSB can have excessive lateral displacement and moment when the tension is adjusted, focusing only on longitudinal behavior, such as a straight CSB. In order to analyze the effect of the cable on the lateral behavior of bridges, the cable is divided into two groups according to the lateral displacement direction of the pylon due to tension. The influence of the combination ratio of GR1 and GR2 on the girder, bearing, pylon, and vertical anchor cable was analyzed. When the tension applied to the bridge is 1.0GR1 plus 1.0GR2, In the combination of 1.2GR1 plus 0.8GR2, the stress on the left and right upper member of the truss girder and the deviation of the both were minimized. In addition, the horizontal force of the bearing, the lateral displacement and moment of the pylon, and the tension of the vertical backstay cable also decreased. This study is expected to be used as basic data for determination of tension of CSB with similar geometry.

Numerical Computation of Dynamic Stress Intensity Factors in Axisymmetric Problems (축대칭 문제에서의 동적 응력확대계수의 계산)

  • 이성희;심우진
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.207-216
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    • 2003
  • In this paper, the finite element method for the elastodynamic axisymmetric fracture analysis is presented in matrix form through the application of the Galerkin method to the time integral equations of motion with no inertia forces. Isoparametric quadratic quadrilateral element and triangular crack tip singular elements with one-quarter node are used in the mesh division of the finite element model. To show the validity and accuracy of the proposed method, the infinite elastic medium with the penny shaped crack is solved first and compared with the analytical solution and the numerical results by the finite difference method and the boundary element method existing in the published literatures, and then the dynamic stress intensity factors of solid and hollow cylinders of finite dimensions haying penny-shaped cracks and internal and external circumferential tracks are computed in detail.

A Study on the Spatial Configuration and Characteristics of Visitors' Movement in Science Museum(I) (과학계 박물관의 전시공간구성과 관람객 움직임의 특성(I))

  • Lim, Che-Zinn;Choo, Sung-Won;Park, Moo-Ho
    • Korean Institute of Interior Design Journal
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    • v.20 no.3
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    • pp.206-214
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    • 2011
  • The premise of this study is that an ultimate objective in planning an exhibition space is visitors' experiences created by a result of their first-hand experiences and responses within an exhibition space, and this result can be recognized in the visitors' movement. Thus, the exhibition layout that can directly affects viewers' main line of flow and movement patterns was examined vis--vis a mutually complementary relation in a triangular composition with the structure of exhibition space and the exhibition contents. This study, with the subjects of standing exhibit halls of Gwacheon National Science Museum, Daejeon National Science Museum, and Tokyo National Museum of Emerging Science and Innovation, analyzed 'the correlation between the configuration of the exhibition area and the visitors' movement. The targeted subjects were analyzed from the perspectives of type of architectural space and organization of the exhibition method, and the purpose of this study was to find a spatial evidence to predict the spectator movement formed within the exhibition halls of science museums. The main indicators used are: Based on the investigation/analysis as described above, the following conclusion could be drawn. Diversity of exhibition environment and spectator movement: besides the two big categories of the types of architectural space and types of exhibition method, the construction of vertical circulation and size and shape of the exhibition space, distribution characteristics of exhibition medium, organization of symbolic space and such other diverse organizations and combinations of exhibition environment are implied to have the capability to alter the scope and degree of predicting spectator movement. As an example, the types of architectural space comprising the wide-area viewing circulation was found to be able to change the system of planar circulation according to the composition of vertical circulation. Along with this, it was implied that the format of architectural space influences the form of the exhibition space, and may also act as a factor directly influencing the diversity and arrangement of the exhibition methods. That is, the spatial elements comprising the exhibition environment acts inter-complexly, and exhibits characteristics of limiting or controlling spectator movement.