An Approximate Analytical Solution to Diffraction of Uniform Flows by a Vertical Cylinder
Date Issued
2012
Date
2012
Author(s)
Jian, Yu-Huan
Abstract
In this study, a progressive step wave is used to simulate the uniform flow condition. Employing Fourier series expansion, the progressive step wave can be approximated by a series of monochromatic progressive waves. Taking advantage of existing theoretical solution of scattered wave field around a vertical cylinder of monochromatic waves and linear potential theory, a three-dimensional approximate analytical solution of uniform flows scattered by a vertical cylinder is presented in this paper.
Present approximate analytical can be further seduced for shallow water wave condition and compare with classical theoretical solution of uniform flow passing a circle. Very accurate results are obtained to verify present three-dimensional approximate analytical solutions. However, present approximate analytical approach still can not produce desirable solutions for free-surface displacement. Comments and suggestions are provided in the conclusion for further study.
Subjects
potential flow
Fourier series
uniform flow
analytical solution
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-101-R97521319-1.pdf
Size
23.32 KB
Format
Adobe PDF
Checksum
(MD5):2109bea2cedd3d5758f1cae1d7627af0