• Title/Summary/Keyword: numerical value

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A Analysis of Solidification of Castings by Computer (전산기(電算機)를 이용(利用)한 주물(鑄物)의 응고해석(凝固解析)에 관하여)

  • Yoon, Eui-Pak;Cho, Soon-Hyoung
    • Journal of Korea Foundry Society
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    • v.3 no.2
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    • pp.83-91
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    • 1983
  • In this paper analytical and numerical methods fur analysis of solidification of castings are described, and the matrix method, one of numerical method, where the nodal point is designated on the element boundary was adapted. The cooling curve obtained by experimental values, when cast steel (0.29%C. 0.62%Si) was poured into $CO_2$ mold, is compared with that of computed values by exploiting computer (V77-600 Data Proceeding System, UNIVAC). The computed value is nearly approximation to the experimental. But the computed value shows a tendency that is a little higher than the experimental in solid-liquid coexisting temperature ranges and much lower than the experimental after solidification. It is considered to result from the lacks and difficulties of ultimately appropriate adaptation of various physical properties and also air cap between castings and mold.

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Eulerian-Lagrangian Hybrid Numerical Method for the Longitudinal Dispersion Equation

  • Jun, Kyung-Soo;Lee, Kil-Seong
    • Korean Journal of Hydrosciences
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    • v.5
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    • pp.85-97
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    • 1994
  • A hybrid finite difference method for the longitudinal dispersion equation, which is based on combining the Holly-Preissmann scheme with fifth-degree Hermite interpolating polynomial and the generalized Crank-Nicholson scheme, is described and comparatively evaluated with other characteristics-based numerical methods. Longitudinal dispersion of an instantaneously-loaded pollutant source is simulated, and computational results are compared with the exact solution. The present method is free from wiggles regardless of the Courant number, and exactly reproduces the location of the peak concentration. Overall accuracy of the computation increases for smaller value of the weighting factor, $\theta$of the model. Larger values of $\theta$ overestimates the peak concentration. Smaller Courant number yields better accuracy, in general, but the sensitivity is very low, especially when the value of $\theta$ is small. From comparisons with the hybrid method using cubic interpolating polynomial and with splitoperator methods, the present method shows the best performance in reproducing the exact solution as the advection becomes more dominant.

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Neighboring Optimal Control using Pseudospectral Legendre Method (Pseudospectral Legendre법을 이용한 근접 최적 제어)

  • 이대우;조겸래
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.7
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    • pp.76-82
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    • 2004
  • The solutions of neighboring optimal control are typically obtained using the sweep method or transition matrices. Due to the numerical integration, however, the gain matrix can become infinite as time go to final one in the transition matrices, and the Riccati solution can become infinite when the final time free. To overcome these disadvantages, this paper proposes the pseudospectral Legendre method which is to first discreteize the linear boundary value problem using the global orthogonal polynomial, then transforms into an algebraic equations. Because this method is not necessary to take any integration of transition matrix or Riccati equation, it can be usefully used in real-time operation. Finally, its performance is verified by the numerical example for the space vehicle's orbit transfer.

Experimental Vibration Analysis of Damped Beam Model Using Multi-degree Curve Fitting Method (다자유도 곡선맞춤법을 이용한 감쇠보 모델의 실험 진동해석)

  • Min, Cheon-Hong;Bae, Soo-Ryong;Park, Han-Il
    • Journal of Ocean Engineering and Technology
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    • v.22 no.1
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    • pp.70-74
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    • 2008
  • It is important to reduce the vibration and noise of submarines and ships. For the purpose of noise reduction, various researches are actively being conducted on the employment of complex structures. However, in the case of numerical analysis for complex structures with damping materials, substantial errors can be generated by the absence of an exact damping model. Thus experimental model analysis is necessary for the verification of a numerical analysis for complex structures. In this research, vibration experiments are conducted in order to ascertain the vibration properties of cantilever beam attached damping materials. First, an initial value is obtained by using a direct linear method. Next, based on this initial value, the exact modal parameters of the cantilever beam are obtained by using the Newton-Raphson method.

Space-Time Characteristics of the Wall Shear-Stress Fluctuations in a Low-Reynolds Number Axial Turbulent Boundary Layer (축방향 난류경계층에서 벽면마찰 섭동량의 공간 및 시간에 따른 특성)

  • 신동신
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.15 no.11
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    • pp.895-901
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    • 2003
  • Direct numerical simulation database of an axial turbulent boundary layer is used to compute frequency and wave number spectra of the wall shear-stress fluctuations in a low-Reynolds number axial turbulent boundary layer. One-dimensional and two-dimensional power spectra of flow variables are calculated and compared. At low wave numbers and frequencies, the power of streamwise shear stress is larger than that of spanwise shear stress, while the powers of both stresses are almost the same at high wave numbers and frequencies. The frequency/streamwise wave number spectra of the wall flow variables show that large-scale fluctuations to the ms value is largest for the streamwise shear stress, while that of small-scale fluctuations to the rms value is largest for pressure. In the two-point auto-correlations, negative correlation occurs in streamwise separations for pressure and spanwise shear stress, and in spanwise correlation for both shear stresses.

Synthesis of Acrylate Binders for Negative Photoresist (네가티브 포토레지스트용 아크릴레이트계 바인더 합성)

  • Kim, Nan-Soo;Nam, Byeong-Uk
    • Journal of the Semiconductor & Display Technology
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    • v.8 no.3
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    • pp.25-30
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    • 2009
  • In this study, we synthesized novel UV-curable binders and applied for negative photoresist of display device. First, we synthesized UV-curable binders by radical polymerization with a mixture of Styrene/Methyl methacrylate/Methacrylic acid/Glycidyl methacrylate/N-Cyclohexylmaleimide at a fixed composition. Following the first step, we prepared a negative photoresist mixture optimized with photo sensitive initiator and others for the litho test. And then, we studied resolution and film retention with molecular weight of each binders and numerical value of Alkaline Desolution Rate(ADR). As a result of the litho test, we found that if the novel polymers have same numerical value of ADR, the resolution decreased and the film retention increased with the increasing of molecular weight of photoresist binder.

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Cyclotron Resonance of the Wannier-Landau Transition System Based on the Ensemble Projection Technique

  • Jung-Il Park
    • Journal of the Korean Magnetic Resonance Society
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    • v.27 no.4
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    • pp.28-34
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    • 2023
  • We study the linear-nonlinear quantum transport theory of Wannier-Landau transition system in the confinement of electrons by a square well confinement potential. We use the projected Liouville equation method with the ensemble density projection technique. We select the dynamic value under a linearly oscillatory external field. We derive the dynamic value formula and the memory factor functions in three electron phonon coupling systems and electron impurity coupling systems of two transition types, the intra-band transitions and inter-band transitions. We obtain results that can be applied directly to numerical analyses. For simple example of application, we analyze the absorption power and line-widths of ZnO, through the numerical calculation of the theoretical result in the Landau system.

Evaluation of Pressure Drop in a Circular Pipe of Refuse Collecting System (쓰레기 관로이송 시스템에서의 관로 압력손실 평가)

  • Kim, Dong-Woo;Jang, Choon-Man
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2615-2620
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    • 2007
  • This paper describes on pressure drop in a circular pipe of refuse collecting system. The flow characteristics inside the circular pipe are analyzed by three-dimensional Navier-Stokes analysis. In numerical analysis, an organic waste is modeled using the data obtained by site survey. Pressure drop obtained by numerical simulation is compared to the value obtained by experimental measurements for the two kinds of pipe; straight and bended type. The pressure drop obtained by numerical simulation has a good agreement with that of experiments. It is noted that the accurate prediction of pressure drop in the waste pipe is very important to determine the performance of turbo blower used in making a suction pressure in the waste pipe. Especially, the pressure drop for an organic waste is analyzed according to the mass flow rate of waste.

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COMPARATIVE STUDY OF NUMERICAL ALGORITHMS FOR THE ARITHMETIC ASIAN OPTION

  • WANG, JIAN;BAN, JUNGYUP;LEE, SEONGJIN;YOO, CHANGWOO
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.1
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    • pp.75-89
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    • 2018
  • This paper presents the numerical valuation of the arithmetic Asian option by using the operator-splitting method (OSM). Since there is no closed-form solution for the arithmetic Asian option, finding a good numerical algorithm to value the arithmetic Asian option is important. In this paper, we focus on a two-dimensional PDE. The OSM is famous for dealing with plural-dimensional PDE using finite difference discretization. We provide a detailed numerical algorithm and compare results with MCS method to show the performance of the method.

Experimental and numerical aerodynamic investigation of a prototype vehicle

  • Akansu, Selahaddin Orhan;Akansu, Yahya Erkan;Dagdevir, Toygun;Daldaban, Ferhat;Yavas, Feridun
    • Wind and Structures
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    • v.20 no.6
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    • pp.811-827
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    • 2015
  • This study presents experimental and numerical aerodynamic investigation of a prototype vehicle. Aerodynamics forces examined which exerted on a prototype. This experimental study was implemented in a wind tunnel for the Reynolds number between $10^5-3.1{\times}10^5$. Numerical aerodynamic analysis of the vehicle is conducted for different Reynolds number by using FLUENT CFD software, with the k-$\varepsilon$ realizable turbulence model. The studied model aims at verifying the aerodynamic forces between experimental and numerical results. After the Reynolds number of $2.8{\times}10^5$, the drag coefficient obtained experimentally becomes independent of Reynolds number and has a value of 0.25.