We present a comparative study of the two-dimensional linear and nonlinear vertical and horizontal wave forces and overturning moment due to the unsteady flow of an inviscid, incompressible fluid over a fully submerged horizontal, fixed deck in shallow-water. The problem is approached on the basis of the level I Green–Naghdi (G–N) theory of shallow-water waves. The main objective of this paper is to present a comparison of the solitary and periodic wave loads calculated by use of the G–N equations, with those computed by the Euler equations and the existing laboratory measurements, and also with linear solutions of the problem for small-amplitude waves. The results show a remarkable similarity between the G–N and the Euler solutions and the laboratory measurements. In particular, the calculations predict that the thickness of the deck, if it is not “too thick,” has no effect on the vertical forces and has only a slight influence on the two-dimensional horizontal positive force. The calculations also predict that viscosity of the fluid has a small effect on these loads. The results have applications to various physical problems such as wave forces on submerged coastal bridges and submerged breakwaters.
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February 2015
Research-Article
Nonlinear Wave Loads on a Submerged Deck by the Green–Naghdi Equations
Masoud Hayatdavoodi,
Masoud Hayatdavoodi
Department of Maritime Systems Engineering,
e-mail: masoud@tamu.edu
Texas A&M University at Galveston
, Galveston, TX 77554
e-mail: masoud@tamu.edu
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R. Cengiz Ertekin
R. Cengiz Ertekin
1
Fellow ASME
Ocean and Resources Engineering Department,
Honolulu, HI 96822
e-mail: ertekin@hawaii.edu
Ocean and Resources Engineering Department,
SOEST, University of Hawaii at Manoa
, 2540 Dole Street, Holmes 402
,Honolulu, HI 96822
e-mail: ertekin@hawaii.edu
1Corresponding author.
Search for other works by this author on:
Masoud Hayatdavoodi
Department of Maritime Systems Engineering,
e-mail: masoud@tamu.edu
Texas A&M University at Galveston
, Galveston, TX 77554
e-mail: masoud@tamu.edu
R. Cengiz Ertekin
Fellow ASME
Ocean and Resources Engineering Department,
Honolulu, HI 96822
e-mail: ertekin@hawaii.edu
Ocean and Resources Engineering Department,
SOEST, University of Hawaii at Manoa
, 2540 Dole Street, Holmes 402
,Honolulu, HI 96822
e-mail: ertekin@hawaii.edu
1Corresponding author.
Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received February 24, 2014; final manuscript received October 16, 2014; published online December 3, 2014. Assoc. Editor: Celso P. Pesce.
J. Offshore Mech. Arct. Eng. Feb 2015, 137(1): 011102 (9 pages)
Published Online: February 1, 2015
Article history
Received:
February 24, 2014
Revision Received:
October 16, 2014
Online:
December 3, 2014
Citation
Hayatdavoodi, M., and Cengiz Ertekin, R. (February 1, 2015). "Nonlinear Wave Loads on a Submerged Deck by the Green–Naghdi Equations." ASME. J. Offshore Mech. Arct. Eng. February 2015; 137(1): 011102. https://doi.org/10.1115/1.4028997
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