• Title/Summary/Keyword: lattice parameter

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Second Order Bounce Back Boundary Condition for the Latice Boltzmann Fluid Simulation

  • Kim, In-Chan
    • Journal of Mechanical Science and Technology
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    • v.14 no.1
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    • pp.84-92
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    • 2000
  • A new bounce back boundary method of the second order in error is proposed for the lattice Boltzmann fluid simulation. This new method can be used for the arbitrarily irregular lattice geometry of a non-slip boundary. The traditional bounce back boundary condition for the lattice Boltzmann simulation is of the first order in error. Since the lattice Boltzmann method is the second order scheme by itself, a boundary technique of the second order has been desired to replace the first order bounce back method. This study shows that, contrary to the common belief that the bounce back boundary condition is unilaterally of the first order, the second order bounce back boundary condition can be realized. This study also shows that there exists a generalized bounce back technique that can be characterized by a single interpolation parameter. The second order bounce back method can be obtained by proper selection of this parameter in accordance with the detailed lattice geometry of the boundary. For an illustrative purpose, the transient Couette and the plane Poiseuille flows are solved by the lattice Boltzmann simulation with various boundary conditions. The results show that the generalized bounce back method yields the second order behavior in the error of the solution, provided that the interpolation parameter is properly selected. Coupled with its intuitive nature and the ease of implementation, the bounce back method can be as good as any second order boundary method.

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Effect of Annealing on c-axis Orientation of $PbTiO_3$ Thin Films by D.C magnetron Reactive Sputtering (D.C Magnetron Reactive Sputtering 법으로 증착한 $PbTiO_3$ 박막의 열처리에 따른 c-축 배향성의 변화)

  • 이승현;권순용;최한메;최시경
    • Journal of the Korean Ceramic Society
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    • v.33 no.7
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    • pp.802-808
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    • 1996
  • PbTiO3 thin films were fabricated onto MgO(100) single crystal substrate by reactive D. C magnetron sput-tering of Pb and Ti metal in an oxygen and argon gas mixture. The annealing of the thin films resulted in the decrease of both the c-axis orientation ratio and the lattice parameter. It is well known that the c-axis lattice parameter of thin film is dependent on the Pb/(Pb+Ti)ratio and the residual stress in the film The PbTiO3 thin films with a Pb/(Pb+T) ratio ranging from 0.45 to 0.57 were fabricated and annealed. The structure of the film the c-axis orientation ratio and the lattice parameter were not dependent on the Pb/(Pb+Ti) ratio before and after annealing. These experimental results proved that the decrease of the c-axis lattice parameter under the annealing conditions was due to the relaxation of the intrinsic stress in the film. This relaxation of the intrinsic stress caused the decrease of the c-axis orientation ratio and this phenomenon can be explained by c-axis growth lattice model.

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Chosen Message Attack Against Goldreich-Goldwasser-Halevi's Lattice Based Signature Scheme (Goldreich-Goldwasser-Halevi 전자서명의 선택 평문 공격)

  • DaeHun Nyang
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.14 no.1
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    • pp.47-57
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    • 2004
  • The Goldreich-Goldwasser-Halevi(GGH)'s signature scheme from Crypto '97 is cryptanalyzed, which is based on the well-blown lattice problem. We mount a chosen message attack on the signature scheme, and show the signature scheme is vulnerable to the attack. We collects n lattice points that are linearly independent each other, and constructs a new basis that generates a sub-lattice of the original lattice. The sub-lattice is shown to be sufficient to generate a valid signature. Empirical results are presented to show the effectiveness of the attack Finally, we show that the cube-like parameter used for the private-key generation is harmful to the security of the scheme.

Dependency of Long-range Order Parameter on the Ordered Structure of $Pb(Mg_{1/3}Nb_{2/3})O_3$ Solid Solutions ($Pb(Mg_{1/3}Nb_{2/3})O_3$ 고용체의 규칙격자 구조에 있어서 장거리 규칙도의 의존성)

  • Park, Kyeong-Soon;Kim, Jwa-Yeon;Lee, Jae-Won;Kim, Kwang-Bae
    • Applied Microscopy
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    • v.28 no.3
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    • pp.415-424
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    • 1998
  • The dependency of long-range order parameter on the ordered structure of $Pb(Mg_{1/3}Nb_{2/3})O_3$ solid solutions has been investigated by means of computer simulations of high-resolution lattice images. The computer image simulations were performed by the multislice method in a wide range of sample thicknesses, defocusing values, and long-range order parameters. It was found that the lattice images of the ordered structures were predominantly dependent on the long-range order parameter, The lattice images in a complete ordered structure showed a pseudo-hexagonal pattern. As the order parameter decreases, the simulated images changed slowly from a pseudo-hexagonal pattern to a rectangular pattern. The lattice images in a complete disordered structure showed a rectangular pattern. Also, the simulated images of the $Pb(Mg_xNb_{1-x})O_3$ with different Mg:Nb ratios obtained at a given long-range order parameter were basically the same patterns, irrespective of Mg and Nb compositions.

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Structural Study of Epitaxial NiSi on Si (001) Substrate by Using Density Functional Theory (DFT) (DFT를 이용한 Si (001) 기판의 에피택시 NiSi 구조 연구)

  • Kim, Dae-Hee;Seo, Hwa-Il;Kim, Yeong-Cheol
    • Journal of the Semiconductor & Display Technology
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    • v.6 no.4
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    • pp.65-68
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    • 2007
  • An epitaxial NiSi structure on Si (001) substrate was studied by using density functional theory (DFT). Orhorhombic and B2-NiSi structures were compared first. B2 structure was further considered as it has same crystal structure as Si and the lattice mismatch between B2 and Si is small, compared to orthorhombic-NiSi. The lattice parameters of x- and y-direction in B2-NiSi structure were modified to match with those in Si (001). The size reduction of the lattice parameter of B2-NiSi to match with that of Si increased the lattice parameter of z-direction by 10.5%. Therefore, we propose that an optimum structure of NiSi for epitaxial growth on Si (001) is a tetragonal structure.

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Estimation of a Lattice Parameter of Sintered Ni-W Alloy Rods by a Neutron Diffraction Method (중성자 회절법에 의한 Ni-W 합금 소결체의 격자상수 측정)

  • Kim, Chan-Joong;Kim, Min-Woon;Park, Soon-Dong;Jun, Byung-Hyuk;Jang, Serk-Won;Seong, Baek-Seok
    • Journal of Powder Materials
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    • v.15 no.3
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    • pp.239-243
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    • 2008
  • Ni-W(1-5 at.%) alloy rods were made by powder metallurgy process including powder mixing, compacting and subsequent sintering. Ni and W powder of appropriate compositions were mixed by a ball milling and isostatically pressed in a rubber mold into a rod. The compacted rods were sintered at $1000^{\circ}C-1150^{\circ}C$ at a reduced atmosphere for densification. The lattice parameters of Ni-W alloys were estimated by a high resolution neutron powder diffractometer. All sintered rods were found to have a face centered cubic structure without any impurity phase, but the diffraction peak locations were linearly shifted with increasing W content. The lattice parameter of a pure Ni rod was $3.5238{\AA}$ which is consistent with the value reported in JCPDS data. The lattice parameter of N-W alloy rods increased by $0.004{\AA}$ for 1 atomic % of W, which indicates the formation of a Ni-W solid solution due to the substitution of nickel atoms by tungsten atoms of larger size.

Measurement of Lattice Parameter of Primary Si crystal in Rheocast Hypereutectic Al-Si Alloy by Convergent Beam Electron Diffraction Technique (수렴성빔 전자회절법을 이용한 리오캐스팅시킨 과공정 Al-Si합금에서 실리콘초정의 격자상수 측정)

  • Lee, Jung-Ill;Kim, Gyeung-Ho;Lee, Ho-In
    • Applied Microscopy
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    • v.25 no.3
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    • pp.99-107
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    • 1995
  • The morphological changes of primary solid particles as a function of process time on hypereutectic Al-15.5wt%Si alloy during semi-solid state processing with a shear rate of $200s^{-1}$ are studied. In this alloy, it was observed that primary Si crystals are fragmented at the early stage of stirring and morphologies of primary Si crystals change from faceted to spherical during isothermal shearing for 60 minutes. To understand the role of Al dissolved in the primary Si crystal by shear stress at high temperature, lattice parameters of the primary Si crystals are determined as a variation of high order Laue zone(HOLZ) line positions measured from convergent beam electron diffraction(CBED) pattern. The lattice parameter of the primary Si crystal in the rheocast Al-15.5wt%Si alloy shows tensile strain of about 5 times greater than that of the gravity casting. Increase of the lattice parameter by rheocasting is due to the increased amount of Al dissolved in the primary Si crystal accelerated by shear stress at high temperature. The amounts of solute Al in the primary Si crystal are measured quantitatively by EPMA method to confirm the CBED analysis.

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CANDU Core Calculation with HELIOS/RFSP

  • Kim, Do H.;Kim, Jong K.;Park, Hangbok;Gyuhong Roh
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.05a
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    • pp.57-61
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    • 1997
  • A Canadian Deuterium Uranium (CANDU) reactor core calculation was performed using lattice parameters generated by HELIOS. The HELIOS-based lattice parameters were processed by TABGEN in a form suitable for the core analysis code RFSP. The core calculation was performed and the results were compared to those of the reference calculation which uses POWDERPUFS-V (PPV) for the lattice parameter generation. The characteristics of the core calculated based on the PPV and HELIOS lattice parameters match within 0.4%$\Delta$k and 7% for the excess reactivity and the channel power distribution, respectively.

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Estimation of system parameters by vector channel lattice filter (벡터채널 격자필터를 이용한 시스템 파라미터 추정)

  • 장세경;황원걸;기창두
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.917-922
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    • 1992
  • Resently there have been increasing interests in adaptive identification and control of flexible structures. In this paper, vector channel lattice filters and their applications to parameter identification of flexible structures are studied. Numerical examples are given to show its performace to estimate the natural frequencies of 5-mass system. It is observed that vector channel lattice filter convetges quickly and identifies modal frequencies even when some of them is unobservable for some measurements. Experimental results demonstrated the ability of the lattice filter to identify the natural frequencies and the damping ratios of cantilever beam and pipe.

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Structural and Magnetic Properties of Epitaxial FexCo100-x Alloys Grown on Cr Substrate

  • Hossain, M.B.;Kim, C.G.;Chun, B.S.;Kim, W.D.;Hwang, C.
    • Journal of Magnetics
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    • v.19 no.1
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    • pp.1-4
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    • 2014
  • We report the correlation between the magnetic properties and lattice parameter of $Fe_xCo_{100-x}$ alloys as a function of constituent concentration. The saturation magnetization increases with Fe content and has a maximum value at approximately x=70 at.%. However, collapse in relative saturation magnetization is observed at approximately 30 at.% to 70 at.% of Fe in $Fe_xCo_{100-x}$ alloys. The collapse is due to the formation of Co-Co and Fe-Fe antibonding states instead of Fe-Co bonds. The lattice parameter also shrinks at approximately 30 at.% to 70 at.% of Fe. This shrinkage is due to an increase in the number of nearest neighbor antisite atoms, which then leads to a decrease in the long range order parameter.