• Title/Summary/Keyword: Continuity Equation

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ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS

  • Argyros, Ioannis Konstantinos;Cho, Yeol Je;George, Santhosh
    • Journal of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.251-266
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    • 2014
  • In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr$\acute{e}$chet-derivative of the operator involved is p-H$\ddot{o}$lder continuous (p${\in}$(0, 1]). Numerical examples involving two boundary value problems are also provided.

Full flow analysis around a Car-like body using Chimera grid technique (Chimera 격자 기법을 이용한 Car-like body 주위의 전체 유동 해석)

  • Oh S. W.;Park W. G.
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.86-91
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    • 1997
  • This paper describes analysis of complex flow around Car-like body using Chimera grid technique. As a computational algorithm, Pullboat and Chaussee's Diagonal algorithm is selected to reduce computational time. Introducing hole points flag to this Diagonal algorithm, an algorithm for Chimera grid is generated easily. This study solves 3-D unsteady incompressible Navier-Stokes equations on a non-orthogonal curvilinear coordinate system using second-order accurate schemes for the time derivatives, and third/second-order scheme for the spatial derivatives. The Marker-and-Cell concept is applied to efficiently solve continuity equation. The fourth-order artificial damping is added to the continuity equation for numerical stability, It has concluded that the results of present study properly agree with physical flow phenomena.

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Analysis of Cylindrical Hydrostatic Bearing (진원형 정수압 베어링의 해석)

  • 문호지;한동철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1989.11a
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    • pp.94-99
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    • 1989
  • This paper analyzes file stiffness, damping coefficient, friction force and flow coefficient of externally pressurized oil journal beating, including the effect of journal rotation according to the Sommerfeld number. This paper assumed that the oil in the whole pocket has constant pressure, and that the oil in the whole bearing region has constant viscosity, temperature and density. Reynolds equation is derived from Nuvier - Stokes equation and continuity equation. And solved bearing pressure by ADI method for whole bearing region and fitted with out flow rate of pocket region. The model for numerical simulation is hydro - static oil journal bearing for high-speed, high-accuracy lathe spindle.

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A Study on the Bed Change in Reservoirs (저수지 하상변동에 관한 연구)

  • Lee, Gwan-Su;Lee, Yeong-Seok;Jeong, Byeong-Geon
    • Journal of Korea Water Resources Association
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    • v.30 no.4
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    • pp.401-409
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    • 1997
  • This study aims to predict the bed elevation change of river and reservoir by compound water model, two-dimensional jet model and one-dimensional density current model, assuming that the river has a single channel and the reservoir has multiple channels. In numerical model, discharge and water level changes is obtained by flow continuity equation and flow momentum equation through double-sweep method, and then applied to sediment continuity equation to predict the scour and deposit of channel bed. The span ranged from the Bosung Dam to Mundueok Bridge at the upstream of Juam Dam, which is approximately 31km long (13km of river and 18km of reservoir), is taken as survey area.

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A Study on the Modeling of DI Switching Device by FEM (유한요소법에 의한 DI 스위칭 소자의 모델링에 관한 연구)

  • Lee, Hyun-Seok;Lee, Kye-Hoon;Rhle, Dong-Hee;Park, Sung-Hee
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.2
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    • pp.285-295
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    • 1994
  • Double Injection(DI) switching devices consist of PS0+T and nS0+T contact separated by a nearly intrinsic semiconductor region containing deep trap. The equation set for DI switching device simulation by FEM is proposed. The existance of deep trap requires the modification of conventional equation set. So recombination rate equation is modified and a new equation is included in the equation set which conventionally consists op Poisson equation and current continuity equation. Consequently, the modeling equation set, which is proposed in this paper, can be applied to other semiconductor devices with trap.

Suggesting double-web I-shaped columns for omitting continuity plates in a box-shaped column

  • Saffari, Hamed;Hedayat, Amir A.;Goharrizi, Nasrin Soltani
    • Steel and Composite Structures
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    • v.15 no.6
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    • pp.585-603
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    • 2013
  • Generally the required strength and stiffness of an I-shaped beam to the box-shaped column connection is achieved if continuity plates are welded to the column flanges from all sides. However, welding the forth edge of a continuity plate to the column flange may not be easily done and is normally accompanied by remarkable difficulties. This study was aimed to propose an alternative for box columns with continuity plates to diminish such problems. For this purpose a double-web I-shaped column was proposed. In this case the strength and rotational stiffness of the connection was provided by nearing the column webs to each other. Finite element studies on about 120 beam-column connections showed that the optimum proportion of the distance between two column webs and the width of the column flange (parameter ${\beta}$) was a function of the ratio of the beam flange width to the column flange width (parameter ${\alpha}$). Hence, based on the finite element results, an equation was proposed to estimate the optimum value of parameter ${\beta}$ in terms of parameter ${\alpha}$ to achieve the highest connection performance. Results also showed that the strength and ductility of post-Northridge connections of such columns are in average 12.5 % and 54% respectively higher than those of box-shaped columns with ordinary continuity plates. Therefore, a double-web I-shaped column of optimum arrangement might be a proper replacement for a box column with continuity plates when beams are rigidly attached to it.

Lp (p ≥ 1) SOLUTIONS OF MULTIDIMENSIONAL BSDES WITH TIME-VARYING QUASI-HÖLDER CONTINUITY GENERATORS IN GENERAL TIME INTERVALS

  • Lishun, Xiao;Shengjun, Fan
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.667-684
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    • 2020
  • The objective of this paper is solving multidimensional backward stochastic differential equations with general time intervals, in Lp (p ≥ 1) sense, where the generator g satisfies a time-varying Osgood condition in y, a time-varying quasi-Hölder continuity condition in z, and its ith component depends on the ith row of z. Our result strengthens some existing works even for the case of finite time intervals.

Study of the semi-segregation algorithms of the incompressible Navier-Stokes equations using P2P1 finite element formulation (P2P1 유한요소 공식을 이용한 비압축성 Navier-Stokes 방정식의 반-분리 해법에 관한 연구)

  • Cho, Myung-H.;Choi, Hyoung-G.;Yoo, Jung-Y.;Park, Jae-I.
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.349-352
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    • 2006
  • The conventional segregated finite element formulation produces a small and simple matrix at each step than in an integrated formulation. And the memory and cost requirements of computations are significantly reduced because the pressure equation for the mass conservation of the Navier-Stokes equations is constructed only once if the mesh is fixed. However, segregated finite element formulation solves Poisson equation of elliptic type so that it always needs a pressure boundary condition along a boundary even when physical information on pressure is not provided. On the other hand, the conventional integrated finite element formulation in which the governing equations are simultaneously treated has an advantage over a segregated formulation in the sense that it can give a more robust convergence behavior because all variables are implicitly combined. Further it needs a very small number of iterations to achieve convergence. However, the saddle-paint-type matrix (SPTM) in the integrated formulation is assembled and preconditioned every time step, so that it needs a large memory and computing time. Therefore, we newly proposed the P2PI semi-segregation formulation. In order to utilize the fact that the pressure equation is assembled and preconditioned only once in the segregated finite element formulation, a fixed symmetric SPTM has been obtained for the continuity constraint of the present semi-segregation finite element formulation. The momentum equation in the semi-segregation finite element formulation will be separated from the continuity equation so that the saddle-point-type matrix is assembled and preconditioned only once during the whole computation as long as the mesh does not change. For a comparison of the CPU time, accuracy and condition number between the two methods, they have been applied to the well-known benchmark problem. It is shown that the newly proposed semi-segregation finite element formulation performs better than the conventional integrated finite element formulation in terms of the computation time.

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A Study on the Effects of Public Library Senior User's Perception of Relational Benefits on the Relationship Quality and Intent to Relationship Continuity (공공도서관 시니어 이용자가 지각하는 관계혜택이 관계품질과 관계지속의도에 미치는 영향에 관한 연구)

  • Shin, Hye-Bong;Noh, Dong-Jo
    • Journal of the Korean BIBLIA Society for library and Information Science
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    • v.30 no.4
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    • pp.135-156
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    • 2019
  • The purpose of this study is to examine the influence of perceived relational benefits of senior library users on the relationship quality and intent to relationship continuity. This study was conducted 50+ public library users through the survey, and 185 subjects were analyzed. The results showed that relational benefits mediated by relationship quality affect intent to relationship continuity. Particularly, functional benefit among the relational benefits had a great effect on intent to relationship continuity, mediated by relationship quality. Commitment among relational quality had a great effect on intent to relationship continuity. These findings suggest marketing policy implications to develop service policy for senior library users.

Ignition Characteristics Analysis of Pseudospark Discharge using Fluid Method (유체법을 이용한 유사스파크 방전의 기동 특성 해석)

  • 심재학;주흥진;고광철;강형부
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1997.04a
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    • pp.95-98
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    • 1997
  • Theoritical predictions are given of the time dependence of charged particle densities and electric field in a pseudospark discharge. Our medel is based on a numerical solution of the continuity equation for electrons and positive ions and coupled with Poisson's equation for the electric field. From numerical results, we can identify phisical mechanisms that lead to the rapid rise in current in the onset of a pseudospark discharge.

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