• Title/Summary/Keyword: numerical formulation

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The Formulation of the Tidal Prediction System It's Application (조석예보시스템의 구축 및 응용)

  • 정연철;채양범
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.4 no.1
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    • pp.31-40
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    • 1998
  • Through the combination of existing tidal prediction model and numerical tidal model, the efficient tidal prediction system was formulated and applied to the neighboring area of Pusan port. Because all tidal constituents for tidal prediction (69 tidal constituents are normally used) couldn't be considered due to the physical limits on computing process, some errors between the observed and predicted values were inevitably occurred. But it was confirmed that the computed values with maximum 10% of relative errors can be obtained if four major tidal constituents(M2, S2, K1, O1) are used. Thus, if other constituents than four major tidal constituents are additionally used, more accurate values will be obtained. Furthermore, if the database for harmonic constants in coastal waters is made in advance, using the numerical tidal model, prompt tidal prediction can be achieved at any time when it is required.

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Shape Design Sensitivity Analysis of Two-Dimensional Thermal Conducting Solids with Multiple Domains Using the Boundary Element Method (경계요소법을 이용한 2 차원 복수 영역 열전도 고체의 형상 설계 민감도 해석)

  • 이부윤;임문혁
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.8
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    • pp.175-184
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    • 2003
  • A method of the shape design sensitivity analysis based on the boundary integral equation formulation is presented for two-dimensional inhomogeneous thermal conducting solids with multiple domains. Shape variation of the external and interface boundary is considered. A sensitivity formula of a general performance functional is derived by taking the material derivative to the boundary integral identity and by introducing an adjoint system. In numerical analysis, state variables of the primal and adjoint systems are solved by the boundary element method using quadratic elements. Two numerical examples of a compound cylinder and a thermal diffuser are taken to show implementation of the shape design sensitivity analysis. Accuracy of the present method is verified by comparing analyzed sensitivities with those by the finite difference. As application to the shape optimization, an optimal shape of the thermal diffuser is found by incorporating the sensitivity analysis algorithm in an optimization program.

Műller Formulation for Analysis of Scattering from 3-D Dielectric Objects with Triangular Patching Model

  • Lee, Chang-Hyun;Cho, Jin-Sang;Jung, Baek-Ho;Sarkar Tapan K.
    • Journal of Electrical Engineering and Technology
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    • v.2 no.1
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    • pp.129-135
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    • 2007
  • In this paper, we present a set of numerical schemes to solve the Muller integral equation for the analysis of electromagnetic scattering from arbitrarily shaped three-dimensional (3-D) dielectric bodies by applying the method of moments (MoM). The piecewise homogeneous dielectric structure is approximated by planar triangular patches. A set of the RWG (Rao, Wilton, Glisson) functions is used for expansion of the equivalent electric and magnetic current densities and a combination of the RWG function and its orthogonal component is used for testing. The objective of this paper is to illustrate that only some testing procedures for the Muller integral equation yield a valid solution even at a frequency corresponding to an internal resonance of the structure. Numerical results for a dielectric sphere are presented and compared with solutions obtained using other formulations.

Numerical Prediction of Contaminant Dispersion within the Laminar Flow Field using FDM (FDM을 이용한 층유유동장내에서 오염물질확산에 관한 연구)

  • 김양술
    • Journal of the Korean Society of Safety
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    • v.10 no.2
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    • pp.56-63
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    • 1995
  • A simulation of contaminant dispersion in a water reservoir has been done using 2-D finite difference method(FDM). The steady state velocity field of the reservoir was computed using stream function-vorticity formulation of Wavier-Stokes equation and continuity equation. Based on the computed steady state velocity field, the transient convective diffusion equation of the contaminant dispersion was computed. For the 1m$\times$1m reservoir model with inlet and outlet attached, it was shown that the center of circulation located toward right. For the numerical values of v =0.01($\textrm{cm}^2$/s) and D=0.6($\textrm{cm}^2$/s) and the flow of 50($\textrm{cm}^3$/s ), it was determined that the outflow had to be shut down in 18 seconds to prevent from severe pollution. Also the required time was computed to be 6 seconds for the inflow of 100 ($\textrm{cm}^3$/s). The result of this study is considered, hopefully, to be useful for the design of the water reservoir systems that are the subjects to various contamination.

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A Study on the Development of Guryongpo Harbour and Its Impact (구룡포항의 개발과 파급효과에 관한 연구)

  • 이종우
    • Journal of the Korean Institute of Navigation
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    • v.14 no.1
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    • pp.39-55
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    • 1990
  • Numerical model simulations are conducted for the evaluation of the water level variation in and out of the harbor due to the development and improvement of a harbor. The method used for the numerical analysis is the hybrid element method which includes energy dissipation due to imperfect reflection at the shore boundary and friction at the bottom. The model also includes the radiation condition on the open boundary by the analytic formulation and is applied to a real harbor, Guryongpo Harbor at the east coast of Korea. The result of experiment within the selected wave frequency band shows that the amplification factor out of the harbor is more than 2.0 at 32 sec period and strong responses near 20 sec, 25 sec, 54 sec periods in the harbor. Moreover, simulation results indicate that other longer wave periods affect to the variation of water level and horizontal water particle velocity exist. Thus, it seems to be necessary to modify the planform and the design of the harbor structures for the coming development.

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Analysis of Failure Mechanisms during Powder Compaction

  • Wu, Chuan-Yu;Bentham, A.C.;Mills, A.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.26-27
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    • 2006
  • Capping mechanisms during the compaction of pharmaceutical powders were explored. Both experimental and numerical investigations were performed. For the experimental study, an X-ray Computed Microtomography system has also used to examine the internal failure patterns of the tablets produced using a compaction simulator. Finite element (FE) methods have also been used to analyse the powder compaction. The experimental and numerical studies have shown that the shear bands developed at the early stage of unloading appear to be responsible for the occurrence of capping. It has also been found that the capping patterns depend on the compact shape.

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Effect of Friction Force on the Dynamic Characteristics of a Flow Divider Valve (Flow Divider Valve의 동특성에 미치는 마찰력의 영향)

  • 박태조;황태영
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.198-203
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    • 2000
  • In this paper, a numerical analysis is carried out to show the effect of friction farce on the dynamic characteristics of a flow divider valve. The continuity equations and the equation of motion fur spool are numerically solved. The viscous friction force acting on the spool is considered analyzing the Reynolds equation which governs the viscous flow in the clearance gap between the spool and sleeve. Dynamic characteristics are highly affected by the viscous friction farce whose magnitude is relatively small compare with other fluid forces. Therefore present theoretical formulation and numerical scheme can be used generally in designing and performance evaluation of all the hydraulic spool valve.

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Numerical Calculation of Vibrational Transition Probability for the Forced Morse Oscillator by Use of the Anharmonic Boson Operators

  • Lee, Chang Sun;Kim, Yu Hang
    • Bulletin of the Korean Chemical Society
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    • v.22 no.7
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    • pp.721-726
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    • 2001
  • The vibrational transition probability expressions for the forced Morse oscillator have been derived using the commutation relations of the anharmonic Boson operators. The formulation is based on the collinear collision model with the exponential repulsive potential in the framework of semiclassical collision dynamics. The sample calculation results for H2+ He collision system, where the anharmonicity is large, are in excellent agreement with those from an exact, numerical quantum mechanical study by Clark and Dickinson, using the reactance matrix. Our results, however, are markedly different from those of Ree, Kim and Shin's in which they approximate the commutation operator I。 as unity, the harmonic oscillator limit. We have concluded that the quantum number dependence in I。 must be retained to get accurate vibrational transition probabilities for the Morse oscillator.

Stochastic analysis of fluid-structure interaction systems by Lagrangian approach

  • Bayraktar, Alemdar;Hancer, Ebru
    • Structural Engineering and Mechanics
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    • v.20 no.4
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    • pp.389-403
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    • 2005
  • In the present paper it is aimed to perform the stochastic dynamic analysis of fluid and fluidstructure systems by using the Lagrangian approach. For that reason, variable-number-nodes twodimensional isoparametric fluid finite elements are programmed in Fortran language by the authors and incorporated into a general-purpose computer program for stochastic dynamic analysis of structure systems, STOCAL. Formulation of the fluid elements includes the effects of compressible wave propagation and surface sloshing motion. For numerical example a rigid fluid tank and a dam-reservoir interaction system are selected and modeled by finite element method. Results obtained from the modal analysis are compared with the results of the analytical and numerical solutions. The Pacoima Dam record S16E component recorded during the San Fernando Earthquake in 1971 is used as a ground motion. The mean of maximum values of displacements and hydrodynamic pressures are compared with the deterministic analysis results.

XFEM for fatigue and fracture analysis of cracked stiffened panels

  • Kumar, M.R. Nanda;Murthy, A. Ramachandra;Gopinath, Smitha;Iyer, Nagesh R.
    • Structural Engineering and Mechanics
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    • v.57 no.1
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    • pp.65-89
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    • 2016
  • This paper presents the development of methodologies using Extended Finite Element Method (XFEM) for cracked unstiffened and concentric stiffened panels subjected to constant amplitude tensile fatigue loading. XFEM formulations such as level set representation of crack, element stiffness matrix formulation and numerical integration are presented and implemented in MATLAB software. Stiffeners of the stiffened panels are modelled using truss elements such that nodes of the panel and nodes of the stiffener coincide. Stress Intensity Factor (SIF) is computed from the solutions of XFEM using domain form of interaction integral. Paris's crack growth law is used to compute the number of fatigue cycles up to failure. Numerical investigations are carried out to model the crack growth, estimate the remaining life and generate damage tolerant curves. From the studies, it is observed that (i) there is a considerable increase in fatigue life of stiffened panels compared to unstiffened panels and (ii) as the external applied stress is decreasing number of fatigue life cycles taken by the component is increasing.