• 제목/요약/키워드: Method of hydrodynamic singularities

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Hydrodynamic modeling of semi-planing hulls with air cavities

  • Matveev, Konstantin I.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권3호
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    • pp.500-508
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    • 2015
  • High-speed heavy loaded monohull ships can benefit from application of drag-reducing air cavities under stepped hull bottoms. The subject of this paper is the steady hydrodynamic modeling of semi-planing air-cavity hulls. The current method is based on a linearized potential-flow theory for surface flows. The mathematical model description and parametric calculation results for a selected configuration with pressurized and open air cavities are presented.

비특이화 간접경계적분방정식 방법을 이용한 부유식 구조물의 유체동역학적 거동에 대한 주파수영역 해석 (Frequency Domain Analysis for Hydrodynamic Responses of Floating Structure using Desingularized Indirect Boundary Integral Equation Method)

  • 오승훈;정동호;조석규;남보우;성홍근
    • 대한조선학회논문집
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    • 제56권1호
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    • pp.11-22
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    • 2019
  • In this paper, a Rankine source method is applied and validated to analyze the hydrodynamic response of a three-dimensional floating structure in the frequency domain. The boundary value problems for radiation and diffraction problem are solved by using a desingularized indirect boundary integral equation method (DIBIEM). The DIBIEM is simpler and faster than conventional methods based on the numerical surface integration of Green's function because the singularities of Green's function are located outside of fluid regions. In case of floating structure with complex geometry, it is difficult to desingularize the singularities of Green's function consistently. Therefore a mixed approach is carried out in this study. The mixed approach is partially desingularized except singularities of the body. Wave drift loads are calculated by the middle-field formulation method that is mathematically simple and has fast convergence. In order to validate the accuracy of the developed program, various numerical simulations are carried out and these results are analyzed and compared with previously published calculations and experiments.

Two-dimensional modeling of stepped planing hulls with open and pressurized air cavities

  • Matveev, Konstantin I.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제4권2호
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    • pp.162-171
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    • 2012
  • A method of hydrodynamic discrete sources is applied for two-dimensional modeling of stepped planing surfaces. The water surface deformations, wetted hull lengths, and pressure distribution are calculated at given hull attitude and Froude number. Pressurized air cavities that improve hydrodynamic performance can also be modeled with the current method. Presented results include validation examples, parametric calculations of a single-step hull, effect of trim tabs, and performance of an infinite series of periodic stepped surfaces. It is shown that transverse steps can lead to higher lift-drag ratio, although at reduced lift capability, in comparison with a stepless hull. Performance of a multi-step configuration is sensitive to the wave pattern between hulls, which depends on Froude number and relative hull spacing.

On the Hydrodynamic Forces of Oscillating Cylinders in the Presence of a Free Surface

  • Hwang, J.H.;Rhee, K.P.;Hong, S.W.
    • 대한조선학회지
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    • 제17권4호
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    • pp.13-20
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    • 1980
  • The integral equation method to solve the boundary-value problem of a 2-dimensional body oscillating in the presence of a free surface generally breaks down at and near irregular frequencies due to the hypothetical flow inside the body. In this paper singularity distributions were extended to an inner free surface to remove the irregular frequency as Ohmatsu's work in 1978, and the solution for the above problem was found by using stream function. For various bodies including Lewis form cylinders, the hydrodynamic forces were calculated numerically at various wave numbers. From the results we concluded that the irregular frequencies can be removed even for the Lewis form cylinder as Ohmatsu done for circular cylinders, and calculated hydrodynamic forces by the present method are little higher than those of Ohmatsu's when the singularities are put on the inner free surface of the body. We specially point out that the solution for heaving motion converges in an oscillatory manner but not for swaying and rolling motions.

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2-dimensional Hydrodynamic Forces of Heaving, Swaying and Rolling Cylinders on a Free Surface of a Water of Finite Depth

  • Rhee, K.P.
    • 대한조선학회지
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    • 제14권3호
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    • pp.13-22
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    • 1977
  • The hydrodynamic forces acting on a forced oscillating 2-dimensional cylinder on a free surface of a fluid of a finite depth are calculated by distributing singularities on the immersed body surface. And the Haskind-Newman relation in a fluid of a finite depth is derived. The wave exciting force of the cylinder to an oscillation is also calculated by using the above relation. The method is applied to a circular cylinder swaying in a water of finite depth, and then, to a rectangular cylinder heaving, swaying, and rolling. The results of above cases give a good agreement with those by earlier investigators such as Bai, Keil, and Yeung. Also, this method is applied to a Lewis form cylinder with a half beam-to-draft ratio of 1.0 and a sectional area coefficient of 0.941, and to a bulbous section cylinder which is hard to represent by a mapping function. The results reveal that the hydrodynamic forces in heave increase as the depth of a water decrease, but in sway or roll, the tendency of the hydrodynamic forces is difficult to say in a few words. The exciting force to heave for a bulbous section cylinder becomes zero at two frequencies. The added mass moment of inertia for roll is seemed to mainly depend on the sectional shape than the water depth.

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압력분포법에 의한 초대형 부유식 해양구조물의 유탄성 해석 (Hydroelastic Analysis for a Very Large Floating Structure by Pressure Distribution Method)

  • 이호영;신현경;신현수;박인규
    • 대한조선학회논문집
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    • 제37권4호
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    • pp.66-74
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    • 2000
  • 본 논문은 초대형 부유식 해양구조물의 유탄성 응답에 대한 계산을 선형 이론에 근거하여 해석하였다. 이론 방법은 압력분포법과 모우드 전개법을 사용하여 계산하였고, 유체 압력을 계산하기 위해 자유표면 위에 특이점을 분포하였다. 초대형 해양 구조물은 판 구조물로 근사시키고, 구조물의 수직 변위는 양단이 자유인 보의 고유함수에 의한 모우드 전개법을 사용하여 계산하였다. 본 논문의 계산 항목은 수직 운동응답, 압력분포, 부가질량, 감쇠계수 및 굽힘 모우멘트이고, 계산 결과에 의하면 기존의 실험치와 좋은 일치를 보여준다.

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Hydrodynamic Forces for Heaving Cylinders on Water of Finite Depth

  • J.H.,Hwang;K.P.,Rhee;Hisaaki,Maeda;Sumihiro,Eguchi
    • 대한조선학회지
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    • 제13권3호
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    • pp.1-9
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    • 1976
  • A numerical method for solving the boundary-value problem related to potential flows with a free surface and an experimental work are introduced in this paper. The forced heaving motion of cylinders with arbitrary shapes in water of finite depth are Considered here. The Fredholm integral equation of the first kind is employed in determining strengths of singularities distributed on the body surface. And the results obtained by the present method for the case of a heaving circular cylinder on water of finite depth agree well with existing results of earlier investigators.

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