• Title/Summary/Keyword: finite difference expansion

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Properties of Surface Modes Used for Directional Emission from Photonic Crystal Waveguides

  • Chung, K.B.
    • Journal of the Optical Society of Korea
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    • v.12 no.1
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    • pp.7-12
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    • 2008
  • Directional emission of light exiting a photonic crystal waveguide by a coherent action of radiative surface modes was recently demonstrated, and subsequently the substantial enhancement of the directional emission was achieved by engineering the surface and adjusting relevant parameters. Here we present the analysis of surface modes causing the enhanced emission by the plane wave expansion method and the finite-difference time-domain method. In particular, surface band structures are calculated for nonradiative and radiative surface modes, respectively, and intensity profiles of some representative modes for nonradiative and radiative cases are given.

Electromagnetic Interactions between Handset Antennas and Human Head: Anatomical Head vs. Multi-layered Spherical Head (휴대폰 안테나와 사용자 머리와의 전자기 상호작용: 해부학적 머리와 다층구형 머리 결과비교)

  • 김강욱
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2001.11a
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    • pp.319-324
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    • 2001
  • An anatomical head and a multi-layered spherical head with a half-wave handset antenna have been analysed and compared using the Finite-Difference Time-Domain (FDTD) and the Eigenfuntion Expansion Method (EEM), respectively. The analysis shows that results from a simple spherical head with a half-wave antenna can be used to predict the main antenna radiation patters as well as estimates of the peak SAR in a handset user's head. Various representative design data are presented using a six-layered spherical head with a half-wave antenna at 900 MHz

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A Numerical Simulation on the Process of Diaphragm Opening in Shock Tube Flows (충격파관 유동의 파막과정에 관한 수치 시뮬레이션)

  • Shin, Choon-Sik;Jeong, June-Chang;Suryan, Abhilash;Kim, Heuy-Dong
    • Journal of the Korean Society of Propulsion Engineers
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    • v.13 no.1
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    • pp.27-33
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    • 2009
  • Shock tube flow measurement has been often hampered a finite opening time of diaphragm, but there is no systematic work to investigate its effect on the shock tube flow. In the present study, both the experimental and computational works have been performed on the shock tube flows at low pressure ratios. The computational analysis has been performed using the two-dimensional, unsteady, compressible Navier-Stokes equations, based upon a TVD MUSCL finite difference scheme. It is known that the present computational results reproduce the experimental data with good accuracy and simulate successfully the process of diaphragm opening as a function of time. The concept of an imaginary center is introduced to quantify the non-centered expansion wave due to a finite opening time of diaphragm. The results obtained show that the diaphragm opening time is reduced as the initial pressure ratio of shock tube increases, leading to the effect of a finite opening time of diaphragm to be more remarkable at low pressure ratios.

Development of the Discrete-Ordinates, Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation

  • Noh, Taewan
    • Nuclear Engineering and Technology
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    • v.32 no.6
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    • pp.605-617
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    • 2000
  • Nodal transport methods are studied for the solution of two dimensional discrete-ordinates, simplified even-parity transport equation(SEP) which is known to be an approximation to the true transport equation. The polynomial expansion nodal method(PEN) and the analytic function expansion nodal method(AFEN)which have been developed for the diffusion theory are used for the solution of the discrete-ordinates form of SEP equation. Our study shows that while the PEN method in diffusion theory can directly be converted without complication, the AFEN method requires a theoretical modification due to the nonhomogeneous property of the transport equation. The numerical results show that the proposed two methods work well with the SEP transport equation with higher accuracies compared with the conventional finite difference method.

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Prediction of Heat Transfer in Asymmetric Sudden Expansion Flows by using the Modified Boundary Layer Equations (비대칭 급확대 관로 유동장 내의 열전달 해석에 수정된 경계층 방정식의 적용 가능성 추정)

  • Lyu, Myoung-Seok;Maeng, Joo-Sung
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.14 no.4
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    • pp.293-299
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    • 1985
  • This paper describes an economical prediction procedure for heat transfer phenomenon through a channel containing an abrupt asymmetric expansion in flow cross-seetional area. Numerical solutions for the flow field are obtained by the finite difference numerical method applied to the modified boundary layer equations. Modified boundary energy equation is used to analyze heat transfer as modified boundary momentum equation. Predictions of the method compare very favorable with exprimental data. Results of this study by modified boundary layer equation are as follows : 1. The computation time required for the scheme is at least an order of magnitude less than for the numerical solution of the full Navier-stokes and Energy eguations. 2. In laminar flow, the maximum heat transfer occurs downstream of the reattachment point.

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Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell

  • Dai, Zuocai;Jiang, Zhiyong;Zhang, Liang;Habibi, Mostafa
    • Advances in nano research
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    • v.10 no.2
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    • pp.175-189
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    • 2021
  • In this article, frequency characteristics, and sensitivity analysis of a size-dependent laminated composite cylindrical nanoshell under bi-directional thermal loading using Nonlocal Strain-stress Gradient Theory (NSGT) are presented. The governing equations of the laminated composite cylindrical nanoshell in thermal environment are developed using Hamilton's principle. The thermodynamic equations of the laminated cylindrical nanoshell are obtained using First-order Shear Deformation Theory (FSDT) and Fourier-expansion based Generalized Differential Quadrature element Method (FGDQM) is implemented to solve these equations and obtain natural frequency and critical temperature of the presented model. The novelty of the current study is to consider the effects of bi-directional temperature loading and sensitivity parameter on the critical temperature and frequency characteristics of the laminated composite nanostructure. Apart from semi-numerical solution, a finite element model was presented using the finite element package to simulate the response of the laminated cylindrical shell. The results created from finite element simulation illustrates a close agreement with the semi-numerical method results. Finally, the influences of temperature difference, ply angle, length scale and nonlocal parameters on the critical temperature, sensitivity, and frequency of the laminated composite nanostructure are investigated, in details.

A Study on Residual Stress of SiC Whisker Reiforced AI Alloy/$ZrO_2$ Joints (SiC 휘스커강화 금속복합재료와 지르코니아 접합체의 잔류응력 해석에 관한 연구)

  • 주재황;박명균
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.6
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    • pp.18-26
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    • 1996
  • A two dimensional thermo elasto-plastic finite element stress analysis was performed to study residual stress distributions in AI composites reinforced by SiC whisker and $ZrO_2$ ceramic joints. The influences on the residual stress distributions due to the difference of the reinforcement volume fraction and interlayer material property were investigated. Specifically, stress distributions between AI interlayer material property were investigated. Specifically, stress distributions between AI interlayer and $ZrO_2$ ceramic and between the AI interlayer and AI composite were computationally analzed.

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New implicit higher order time integration for dynamic analysis

  • Alamatian, Javad
    • Structural Engineering and Mechanics
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    • v.48 no.5
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    • pp.711-736
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    • 2013
  • In this paper new implicit time integration called N-IHOA is presented for dynamic analysis of high damping systems. Here, current displacement and velocity are assumed to be functions of the velocities and accelerations of several previous time steps, respectively. This definition causes that only one set of weighted factors is calculated from the Taylor series expansion which leads to a simple approach and reduce the computational efforts. Moreover a comprehensive study on stability of the proposed method i.e., N-IHOA compared with IHOA integration which is performed based on amplification matrices proves the ability of the N-IHOA in high damping vibrations such as control systems. Also, wide range of numerical examples which contains single/multi degrees of freedom, damped/un-damped, free/forced vibrations from finite element/finite difference demonstrate that the accuracy and efficiency of the proposed time integration is more than the common approaches such as the IHOA, the Wilson-${\theta}$ and the Newmark-${\beta}$.

Numerical comparison of the beam model and 2D linearized elasticity

  • Fabijanic, Eva;Tambaca, Josip
    • Structural Engineering and Mechanics
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    • v.33 no.5
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    • pp.621-633
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    • 2009
  • In this paper we compare the solution of the one-dimensional beam model and the numerical solution of the two-dimensional linearized elasticity problem for rectangular domain of the beam-like form. We first derive the beam model starting from the two-dimensional linearized elasticity, the same way it is derived from the three-dimensional linearized elasticity. Then we present the numerical solution of the two-dimensional problem by finite element method. As expected the difference of two approximations becomes smaller as the thickness of the beam tends to zero. We then analyze the applicability of the one-dimensional model and verify the main properties of the beam modeling for thin beams.

Passive Prandtl-Meyer Expansion Flow with Homogeneous Condensation

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong
    • Journal of Mechanical Science and Technology
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    • v.18 no.3
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    • pp.407-418
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    • 2004
  • Prandtl-Meyer expansion flow with homogeneous condensation is investigated experimentally and by numerical computations. The steady and unsteady periodic behaviors of the diabatic shock wave due to the latent heat released by condensation are considered with a view of technical application to the condensing flow through steam turbine blade passages. A passive control method using a porous wall and cavity underneath is applied to control the diabatic shock wave. Two-dimensional, compressible Navier-Stokes with the nucleation rate equation are numerically solved using a third-order TVD (Total Variation Diminishing) finite difference scheme. The computational results reproduce the measured static pressure distributions in passive and no passive Prandtl-Meyer expansion flows with condensation. From both the experimental and computational results, it is found that the magnitude of steady diabatic shock wave can be considerably reduced by the present passive control method. For no passive control, it is found that the diabatic shock wave due to the heat released by condensation oscillates periodically with a frequency of 2.40㎑. This unsteady periodic motion of the diabatic shock wave can be completely suppressed using the present passive control method.