On the heave radiation of a rectangular structure

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

In this paper, an analytic solution to the heave radiation problem of a rectangular structure is presented. To solve the problem analytically, the nonhomogeneous boundary value problem is linearly decomposed into homogeneous ones, which can be readily solved. To provide further comparisons to the present analytic solution, a boundary element method is also presented to solve the problem. The present analytic solution is compared with the result by Black et al. [(1971)] Radiation and scattering of water waves by rigid bodies. J. Fluid Mech. 46, 151–164], and the boundary element solution, and the comparisons show very good agreements. Upon examination of the present analytic solution, it is shown that the solution satisfies the nonhomogeneous boundary condition in a sense of series convergence. Using the present analytic solution, the generated waves, the added mass and the radiation damping coefficients, as well as the hydrodynamic effects of the submergence and the width of the structure, are investigated.

Original languageEnglish
Pages (from-to)19-34
Number of pages16
JournalOcean Engineering
Volume22
Issue number1
DOIs
Publication statusPublished - 1995 Jan 1

Fingerprint

Radiation
Water waves
Boundary element method
Boundary value problems
Hydrodynamics
Damping
Boundary conditions
Scattering
Fluids

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Ocean Engineering

Cite this

@article{05e93255ecaf410bbed1f5805f2fb396,
title = "On the heave radiation of a rectangular structure",
abstract = "In this paper, an analytic solution to the heave radiation problem of a rectangular structure is presented. To solve the problem analytically, the nonhomogeneous boundary value problem is linearly decomposed into homogeneous ones, which can be readily solved. To provide further comparisons to the present analytic solution, a boundary element method is also presented to solve the problem. The present analytic solution is compared with the result by Black et al. [(1971)] Radiation and scattering of water waves by rigid bodies. J. Fluid Mech. 46, 151–164], and the boundary element solution, and the comparisons show very good agreements. Upon examination of the present analytic solution, it is shown that the solution satisfies the nonhomogeneous boundary condition in a sense of series convergence. Using the present analytic solution, the generated waves, the added mass and the radiation damping coefficients, as well as the hydrodynamic effects of the submergence and the width of the structure, are investigated.",
author = "Jaw-Fang Lee",
year = "1995",
month = "1",
day = "1",
doi = "10.1016/0029-8018(93)E0009-H",
language = "English",
volume = "22",
pages = "19--34",
journal = "Ocean Engineering",
issn = "0029-8018",
publisher = "Elsevier BV",
number = "1",

}

On the heave radiation of a rectangular structure. / Lee, Jaw-Fang.

In: Ocean Engineering, Vol. 22, No. 1, 01.01.1995, p. 19-34.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the heave radiation of a rectangular structure

AU - Lee, Jaw-Fang

PY - 1995/1/1

Y1 - 1995/1/1

N2 - In this paper, an analytic solution to the heave radiation problem of a rectangular structure is presented. To solve the problem analytically, the nonhomogeneous boundary value problem is linearly decomposed into homogeneous ones, which can be readily solved. To provide further comparisons to the present analytic solution, a boundary element method is also presented to solve the problem. The present analytic solution is compared with the result by Black et al. [(1971)] Radiation and scattering of water waves by rigid bodies. J. Fluid Mech. 46, 151–164], and the boundary element solution, and the comparisons show very good agreements. Upon examination of the present analytic solution, it is shown that the solution satisfies the nonhomogeneous boundary condition in a sense of series convergence. Using the present analytic solution, the generated waves, the added mass and the radiation damping coefficients, as well as the hydrodynamic effects of the submergence and the width of the structure, are investigated.

AB - In this paper, an analytic solution to the heave radiation problem of a rectangular structure is presented. To solve the problem analytically, the nonhomogeneous boundary value problem is linearly decomposed into homogeneous ones, which can be readily solved. To provide further comparisons to the present analytic solution, a boundary element method is also presented to solve the problem. The present analytic solution is compared with the result by Black et al. [(1971)] Radiation and scattering of water waves by rigid bodies. J. Fluid Mech. 46, 151–164], and the boundary element solution, and the comparisons show very good agreements. Upon examination of the present analytic solution, it is shown that the solution satisfies the nonhomogeneous boundary condition in a sense of series convergence. Using the present analytic solution, the generated waves, the added mass and the radiation damping coefficients, as well as the hydrodynamic effects of the submergence and the width of the structure, are investigated.

UR - http://www.scopus.com/inward/record.url?scp=0028792728&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028792728&partnerID=8YFLogxK

U2 - 10.1016/0029-8018(93)E0009-H

DO - 10.1016/0029-8018(93)E0009-H

M3 - Article

VL - 22

SP - 19

EP - 34

JO - Ocean Engineering

JF - Ocean Engineering

SN - 0029-8018

IS - 1

ER -