• Title/Summary/Keyword: Green's theorem

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Wave Control by Multi-Rowed Impermeable Submerged Breakwaters in Three-Dimensional Wave Fields (3차원파동장에 있어서 복수열불투과성잠제에 의한 파랑제어에 관한 연구)

  • 김도삼;배은훈;이봉재
    • Journal of Ocean Engineering and Technology
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    • v.15 no.3
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    • pp.107-113
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    • 2001
  • This study is focused on the wave control by economical multi-rowed impermeable submerged breakwaters which need less materials than a one-rowed submerged breakwater. A boundary element method and eigenfunction expansion method based on the Green\`s theorem are appled to analyze the characteristics of wave transformation. Submerged breakwaters are consisted of one and two-row with rectangular section. Wave transformation characteristics are investigated by the various combinations of placement distance and crown water depth.

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SINGULAR THIRD-ORDER 3-POINT BOUNDARY VALUE PROBLEMS

  • Palamides, Alex P.
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.697-710
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    • 2010
  • In this paper, we prove existence of infinitely many positive and concave solutions, by means of a simple approach, to $3^{th}$ order three-point singular boundary value problem {$x^{\prime\prime\prime}(t)=\alpha(t)f(t,x(t))$, 0 < t < 1, $x(0)=x'(\eta)=x^{\prime\prime}(1)=0$, (1/2 < $\eta$ < 1). Moreover with respect to multiplicity of solutions, we don't assume any monotonicity on the nonlinearity. We rely on a combination of the analysis of the corresponding vector field on the phase-space along with Knesser's type properties of the solutions funnel and the well-known Krasnosel'ski$\breve{i}$'s fixed point theorem. The later is applied on a new very simple cone K, just on the plane $R^2$. These extensions justify the efficiency of our new approach compared to the commonly used one, where the cone $K\;{\subset}\;C$ ([0, 1], $\mathbb{R}$) and the existence of a positive Green's function is a necessity.

Wave Force Analysis Acting on a Vertical Circular Cylinder by Boundary Element Method (경계요소법에 의한 수직원주에 작용하는 파력해석)

  • Kim, Nam-Hyeong;Park, Min-Su
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1910-1913
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    • 2006
  • To solve the interaction of incident monochromatic waves with a bottom-fixed vertical circular cylinder, a numerical analysis by boundary element method is developed using three-dimensional linear potential theory. A numerical analysis by boundary element method is based on Green's theorem and introduce to an integral equation for the fluid velocity potential around the vertical circular cylinder. These numerical results are compared with those of ManCamy and Fuchs(1954) and Williams and Mansour(2002), and it has shown good relationship with their results. This numerical analysis developed by boundary element method will be applied for various offshore structures to be constructed in coastal zones in the future.

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Wave Force Analysis of the Three Vertical Cylinders in Water Waves

  • Kim, Nam-Hyeong;Cao, Tan Ngoc Than
    • Journal of Navigation and Port Research
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    • v.32 no.7
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    • pp.543-552
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    • 2008
  • The diffraction of waves by three bottom fixed vertical circular cylinders is investigated by using the boundary element method. This method has been successfully applied to the isolated vertical circular cylinder and now is used to study the interaction between waves and multiple vertical cylinders. In this paper, a numerical analysis by the boundary element method is developed by the linear potential theory. The numerical analysis by the boundary element method is based on Green's second theorem and introduced to an integral equation for the fluid velocity potential around the vertical circular cylinders. To verify this method, the results obtained in present study are compared with the results computed by the multiple scattering method. The results of the comparisons show strong agreement. Also in this paper, several numerical examples are given to illustrate the effects of various parameters on the wave exciting force such are the separation distance, the wave number and the incident wave angle. This numerical computation method might be used broadly for the design of various offshore structures to be constructed in the future.

Drift Diffusion of Radiation-produced Point Defects to Edge Dislocation

  • S. S. park;K. O. Chang;Park, S. P.
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05b
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    • pp.160-165
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    • 1998
  • Under the heavy irradiation, when the production and the recombination of interstitials and vacancies are included, the diffusion equations become nonlinear. An effort has been made to arrange an appropriated transformation of these nonlinear differential equations to soluble Poisson's equations, so that analytical solutions for simultaneously calculating the concentrations of interstitials and vacancies in the angular dependent Cottrell's potential of the edge dislocation have been derived from the well-known Green's theorem and perturbation theory.

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Drift Diffusion of Radiation-produced Point Defects to Edge Dislocation

  • Park, S.S.;Chang, K.O.;Choi, S.P.;Kim, C.O.
    • Nuclear Engineering and Technology
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    • v.31 no.2
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    • pp.151-156
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    • 1999
  • Under the heavy irradiation of crystalline materials when the production and the recombination of interstitials and vacancies are included, the diffusion equations become nonlinear. An effort has been made to arrange an appropriate transformation of these nonlinear differential equations to more solvable Poisson's equations, finally analytical solutions for simultaneously calculating the concentrations of interstitials and vacancies in the angular dependent Cottrell's potential of the edge dislocation have been derived from the well-known Green's theorem and perturbation theory.

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On Numerical Method for Radiation Problem of a 2-D Floating Body (2차원 부유체 강제동요문제의 수치해석에 관하여)

  • Y.S. Shin;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.43-53
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    • 1993
  • There exist two difficulties in the nonlinear wave-body problems. First is the abrupt behavior near the intersection point between the body and the free surface, and second is the far field treatment. In this paper, the far field treatment is considered. The main idea is the Taylor series expansion of free-surface geometry and the application of F.F.T. algorithm. The numerical step is as follows. The velocity potential is expressed by the Green's theorem. and the solution is obtained by iteration method. In the iteration stage, the expressions by the Green's theorem are transformed to the convolution forts with the expansion of free surface by the wave slope. Here F.F.T. is applied, so the computing time can be of O(Nlog N) where N is the number of unknowns. The numerical analysis is carried out and the results are compared with other results in linear floating body problem and nonlinear moving pressure patch problem, and good agreements are obtained. Finally nonlinear floating body radiation problem is carried out with computing time of O(Nlog N).

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Lateral Drifting Force on a Cylinder in Water of Finite Depths -Far Field Method- (유한(有限)깊이의 물에 떠있는 주상체(柱狀體)에 작용(作用)하는 횡표류력(橫漂流力) -운동량(運動量) 이론(理論) 방법(方法)-)

  • K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.20 no.2
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    • pp.37-42
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    • 1983
  • This paper presents a procedure within the framework of linear potential theory for predicting the lateral drifting forces on a cylinder floating on the free surface of a finite depth water. The disturbance of a regular incident wave caused by the presence of the floating body is represented by the sum of the diffracted and radiated wave potentials, which are determined by using Green's theorem. The lateral drifting forces are calculated by use of momentum theorem, and the scattered waves are expressed in their asymptotic forms. The computed lateral drifting forces on a Lewis form cylinder(b/T=1.25, $\sigma$=0.95) for water depth to draft ratio of 5.0 are compared with the Kyozuka's experimental results for a deep water, and found to be in good agreement. The water depth effects on drifting forces of the same model are also calculated.

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Bayesian Theorem-based Prediction of Success in Building Commissioning

  • Park, Borinara
    • International conference on construction engineering and project management
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    • 2015.10a
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    • pp.523-526
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    • 2015
  • In recent years, building commissioning has often been part of a standard delivery practice in construction, particularly in the high-performance green building market, to ensure the building is designed and constructed per owner's requirements. Commissioning, therefore, intends to provide quality assurance that buildings perform as intended by the design and often helps achieve energy savings. Commissioning, however, is not as widely adopted as its potential benefits are perceived. Owners are still skeptical of the cost-effectiveness claims by energy management and commissioning professionals. One of the issues in the current commissioning practice is that not every project is guaranteed to benefit from the commissioning services. This, coupled with its added cost, the commissioning service is not acquired with great acceptance and confidence by building owners. To overcome this issue, this paper presents a unique methodology to enhance owner's predicting capability of the degree of success of commissioning service using the Bayesian theorem. The paper analyzes a situation where a future building owner wants to use a pre-commissioning in an attempt to refine the success rate of the future commissioned building performance. The author proposes the Bayesian theorem based framework to improve the current commissioning practice where building owners are not given accurate information how much successful their projects are going to be in terms of energy savings from the commissioning service. What should be provided to the building owners who consider their buildings to be commissioned is that they need some indicators how likely their projects benefit from the commissioning process. Based on this, the owners can make better informed decisions whether or not they acquire a commissioning service.

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A Numerical Study on 2-Dimensuional Tank with Shallow Draft (천수에서 2차원 수치파 수조에 대한 계산)

  • 임춘규
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.1-5
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    • 2000
  • A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.

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