A Semi-Analytical Model to Calculate Forces Exerted on Horizontal Cylinder by a Solitary Wave

Author(s):  
Luana Gurnari ◽  
Pasquale Filianoti

Several authors have studied the solitary wave load on a submerged horizontal cylinder. In the present work, a semi analytical expression of the horizontal force exerted by a solitary wave on a horizontal cylinder is derived. The formula is based on the speed drop factor ƒr, that is the ratio (greater than one) between the time needed by the wave pressure to cross the solid body and the travel time across a transparent cylinder. The ƒr, is calculated numerically by means of the Boundary Element Method on assuming that a solitary wave and a periodic wave having the same wavelength undergoes the same slowing down. (Clearly the wavelength for the solitary wave is estimated approximately.) Abaci for the ƒr, as a function of the ratio between the diameter and the wavelength, for assigned A/d (= amplitude of the solitary wave / bottom depth) have obtained. In order to check the appropriateness of BEM, we carried out an experiment in a numerical wave flume, using the Computational Fluid Dynamics (CFD) technique.

2016 ◽  
Vol 54 ◽  
pp. 115-136 ◽  
Author(s):  
Asghar Farhadi ◽  
Hamed Ershadi ◽  
Homayoun Emdad ◽  
Ebrahim Goshtasbi Rad

Author(s):  
Pasquale Filianoti ◽  
Luana Gurnari ◽  
Francesco Aristodemo ◽  
Giuseppe Tripepi

In this work, the solitary wave loads on a submerged horizontal circular cylinder are studied by comparing new analytical results with ad-hoc experimental data. The proposed analytical solution has been recently proposed by Gurnari and Filianoti (2017) and represents an extension of the formulation developed by Filianoti and Piscopo (2008) to assess the solitary wave loads acting on a submerged breakwater and tested in a wave flume on a small-scale model (Filianoti and Di Risio, 2012). Here we deal with a submerged horizontal cylinder following the concept that a solitary wave is subjected to a slowdown passing over a submerged cylinder. A laboratory investigation was addressed to calibrate the adopted semi-analytical method. The speed of the solitary wave celerity crossing the solid submerged cylinder was measured for several wave amplitudes. In the adopted wave flume at the University of Calabria equipped by a piston-type wavemaker, an horizontal cylinder with diameter D = 0.127 m was posed with its center at a depth of 0.2 m. Twelve transducers measured the instantaneous pressures along the external contour of the body. A battery of wave gauges measured the free surface elevation to evaluate the celerity crossing the equivalent water cylinder. Tests confirmed the existence of the slowing down of the celerity of the wave pressure. In other words, we found that the pressure wave is nearly double the time necessary to cross the cylinder with respect to the time necessary to cover the same distance in the undisturbed field, for solitary waves amplitudes ranging from about 0.08 and 0.19 times the water depth. The slowing down increases the horizontal wave force on the solid body with respect to the Froude-Krylov one. Moreover, it appears that in the adopted experimental range the wave force is essentially inertial if compared to the drag one, enabling us to rely upon a simplified analytical model to obtain an effective estimate of the horizontal force produced by a solitary wave on a cylinder.


2012 ◽  
Vol 204-208 ◽  
pp. 4971-4977
Author(s):  
Ya Mei Lan ◽  
Wen Hua Guo ◽  
Yong Guo Li

The CFD software FLUENT was used as the foundation to develop the numerical wave flume, in which the governing equations are the Reynolds-averaged Navier-Stokes (RANS) equations and the standard k~ε turbulence model. The wave generating and absorbing were introduced into the RANS equations as the source terms using the relaxation approach. A new module of the wave generating and absorbing function, which is suitable for FLUENT based on the volume of fluid method (VOF), was established. Within the numerical wave flume, the reflected waves from the model within the computation domain can be absorbed effectively before second reflection appears due to the wave generating boundary. The computational results of the wave pressures on the bottom of the rectangular slab were validated for the different relative clearance by the experimental data. Good agreements were found.


2001 ◽  
Vol 17 ◽  
pp. 281-286
Author(s):  
Toshihiko Takahashi ◽  
Koji Fujima ◽  
Ryosuke Asakura ◽  
Tsuyoshi Ikeya

1999 ◽  
Vol 15 ◽  
pp. 321-326 ◽  
Author(s):  
M. Isobe ◽  
S. Takahashi ◽  
S. P. Yu ◽  
T. Sakakiyama ◽  
K. Fujima ◽  
...  

2000 ◽  
Vol 16 ◽  
pp. 81-86
Author(s):  
Qin JLANG ◽  
Shigeo TAKAHASHI ◽  
Masanori SHUKU ◽  
Masahiko ISOBE

Author(s):  
D. M. INGRAM ◽  
F. GAO ◽  
D. M. CAUSON ◽  
C. G. MINGHAM ◽  
P. TROCH

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