• Title/Summary/Keyword: Numerical computation

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Stability of Time Delay Systems Using Numerical Computation of Argument Principles

  • Suh, Young-Soo
    • International Journal of Control, Automation, and Systems
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    • v.1 no.1
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    • pp.127-133
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    • 2003
  • This paper proposes a new numerical method to check the stability of a general class of time delay systems. The proposed method checks whether there are characteristic roots whose real values are nonnegative through two steps. Firstly, rectangular bounds of characteristic roots whose real values are nonnegative are computed. Secondly, the existence of roots inside the bounds are checked using the numerical computation of argument principles. An adaptive discretization is proposed for the numerical computation of argument principles.

Experimental and Numerical Study on the Binary Fluid Flows in a Micro Channel (마이크로 채널 내의 이상유동에 대한 실험 및 수치해석적 연구)

  • Park, Jae-Hyoun;Heo, Hyeung-Seok;Suh, Young-Kweon
    • 한국가시화정보학회:학술대회논문집
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    • 2006.12a
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    • pp.86-91
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    • 2006
  • In this parer, we present the bubble forming and motion in the micro channel by using the two-dimensional numerical computation and experiment. In the numerical computation, The Lattice Boltzmann method(LBM) and free-energy model is used to treat the interfacial force and deformation of binary fluid system, drawn in to a micro channel and a numerical simulation is carried out by using the parallel computation method. The urn in this investigation is to examine the applicability of LBM to numerical analysis and experimental method of binary fluid separation and motion in the micro channel.

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Study on the Experiment and Numerical Computation of Forced Convection Heat Transfer around Circular Cylinder in a Rectangular Duct (사각덕트 내에서 원형 실린더 주위의 강제대류 열전달에 대한 실험과 수치계산에 관한 연구)

  • 윤영환;김경환
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.16 no.5
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    • pp.490-498
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    • 2004
  • This paper measures the forced convective heat transfer from heated cylinder to air flow in a rectangular duct at Re$_{D}$ =2,337, 4,589, 6,621 and 7,944 through experiments. And the heat transfer is computed by 3-D numerical computation in which various turbulent models are applied. It is shown through the comparison of experimental and computed data that numerical computation with standard k-$\varepsilon$ model predicts the experimental data most accurately. Furthermore, the correlation from the computed heat transfer is almost similar to that from the experiment when Re$_{D}$ is greater than 4,589. In addition, the correlation of McAdams is the closest to that from experimental data among various correlations from literature in the range of Reynolds number.ber.

Three-Dimensional Numerical Computation and Experiment on Periodic Flows under a Background Rotation (배경회전하에서 형성되는 주기적 유동의 3차원 수치해석과 실험)

  • Suh, Yong-Kweon;Park, Jae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.5
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    • pp.628-634
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    • 2003
  • We present numerical and experimental results of periodic flows inside a rectangular container under a background rotation. The periodic flows are generated by changing the speed of rotation periodically so that a time-periodic body forces produce the unsteady flows. In numerical computation, a parallel-computation technique with MPI is implemented. Flow visualization and PIV measurement are also performed to obtain velocity fields at the free surface. Through a series of numerical and experimental works, we aim to clarify, if any, the fundamental reasons \ulcornerf discrepancy between the two-dimensional computation and the experimental measurement, which was detected in the previous study for the same flow model. Specifically, we check if the various assumptions prerequisite for the validity of the classical Ekman pumping law are satisfied for periodic flows under a background rotation.

The comparison between Numerical Computation and Experiment on Fluid Elow in Rectangular Duct (사각덕트내의 유체유동에 관한 수치계산과 실험의 비교)

  • Yoon Young-Hwan;Bae Taeg-Hee;Park Won-Gu
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.71-74
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    • 2002
  • Fluid flow in a rectangular duct system are measured by W laser doppler velocity meter, and also computed by commercial software of STAR-CD for comparison between then First, for a rectangular duct with 90 degree metered elbow, the fluid flow with Reynolds numbs's of 1,508 is predicted by assumption of both laminar and turbulent models. But, even though the Reynolds number is less than 2,300-3,000, the computation by turbulent model is close to the experimental data. Moeover, the computation by turbulent model for Reynolds number of 11,751 also predicts the experimental data satisfactorily. Second, for a rectangular duct with two branch ducts, the ratios between flow rates in the two branches are invariant to Reynolds number according to both of numerical and experimental results.

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Asymptotic computation of Greeks under a stochastic volatility model

  • Park, Sang-Hyeon;Lee, Kiseop
    • Communications for Statistical Applications and Methods
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    • v.23 no.1
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    • pp.21-32
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    • 2016
  • We study asymptotic expansion formulae for numerical computation of Greeks (i.e. sensitivity) in finance. Our approach is based on the integration-by-parts formula of the Malliavin calculus. We propose asymptotic expansion of Greeks for a stochastic volatility model using the Greeks formula of the Black-Scholes model. A singular perturbation method is applied to derive asymptotic Greeks formulae. We also provide numerical simulation of our method and compare it to the Monte Carlo finite difference approach.

SPARSE NULLSPACE COMPUTATION OF EQULILBRIUM MATRICES

  • Jang, Ho-Jong;Cha, Kyung-Joon
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1175-1185
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    • 1996
  • We study the computation of sparse null bases of equilibrium matrices in the context of structural optimization and incompressible fluid flow. In our approach we emphasize the parallel computatin and examine the applications. New block decomposition and node ordering schemes are suggested, and numerical examples are considered.

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A Numerical Analysis on Flow Fields and Calculation of Pressure Resistance about an Air Supported Ship (수치시뮬레이션에 의한 공기부양선 주위의 유동장해석과 조파저항계산)

  • Na Y. I.;Lee Y. G.
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.43-48
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    • 1995
  • A numerical computation is carried out to analyse characteristics of flow fields around Air Supported Ships having arbitrary form. The computations are performed in a rectangular grid system with MAC(Marker And Cell) method. The governing equations are represented in a Finite Difference form by forward differencing in time and centered differencing in space except for convection terms. For validation of this numerical analysis method, the computation of flow fields around Catamaran and ACV(Air Cushion Vehicle) with pressure distribution on free surface are done, and that around Surface Effect Ship is also carried out. The results of the computations are compared with the those of existed numerical computation and experimental results with the same condition.

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Nearshore Current Pattern and Rip Current Occurrence at Jungmun Beach, Jeju by Numerical Computation

  • An, Seung-Hyun;Kim, Nam-Hyeong
    • Journal of Navigation and Port Research
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    • v.41 no.2
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    • pp.55-62
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    • 2017
  • A nearshore current or a wave-induced current is an important phenomenon in a nearshore zone, which is composed of longshore, cross-shore, and rip currents. The nearshore current is closely related to the occurrence of coastal accidents by beachgoers. A considerable number of coastal accidents by beachgoers involving the rip current have been reported at Jungmun Beach. However, in studies and observations of the nearshore current of Jungmun Beach, understanding of the rip current pattern remains unclear. In this study, a scientific approach is taken to understand the nearshore current and the rip current patterns at Jungmun Beach by numerical computation for year of 2015. From results of numerical computation, the occurrence and spatial characteristics of the rip current, and the similarities between the rip current and incident wave conditions are analyzed. The primary results of this study reveal that the rip currents are frequently generated at Jungmun Beach, especially in the western parts of the beach, and that the rip currents often occur with a wave breaking height of around 0.5 ~ 0.7 m, a wave period of around 6 ~ 8 seconds, and a breaking angle of around 0 ~ 15 degrees.

A theoretical Analysis and CFD Simulation on the Ceramic Heat Exchanger (세라믹 열교환기의 이론해석 및 CFD 시뮬레이션)

  • Paeng, Jin-Gi;Yoon, Young-Hwan
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.21 no.5
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    • pp.282-290
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    • 2009
  • A ceramic monolith heat exchanger is studied to find the performance of heat transfer and pressure drop by numerical computation and $\xi$-NTU method. The numerical computation was performed throughout the domain including fluid region in exhaust gas-side rectangular ducts, ceramic core and fluid region in air-side rectangular duct with the air and exhaust in cross flow direction. In addition, the heat exchanger was also analyzed to estimate the performance by conventional $\xi$-NTU method with several Nusselt number correlations for flow in rectangular duct from literature. By comparisons of both performances by the numerical computation and the $\xi$-NTU method, the effectiveness by $\xi$-NTU method was closest to the result by numerical computation within a relative error of 2.14% when Stephan's Nusselt number correlation was adopted to the $\xi$-NTU method among the several correlations.