The goal of this research is to develop an equation describing the
two, dimensional motion of an inviscid incompressible fluid in the
rectangular wavemaker of constant depth. The boundary value problem
of the rectangle is transformed to the upper half plane with the use
of Jacobian elliptical functions. The boundary value problem is
then transformed to the unit disc. The solution to the mixed value
problem of the disc is found using a general solution satisfying the
Laplace equation in polar coordinates.
In order to solve the coefficients of the general solution,
a system of equations is developed using a method similar to the one applied for the
coefficients of a Fourier series. The system is converted to matrix
form and the coefficients are calculated using Mathematica. Four
approximate solutions are calculated for depths of 3.96 m and 4.42 m
with N equal to 2 and 10. / Graduation date: 1993
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/36357 |
| Date | 17 May 1993 |
| Creators | Averbeck, Patrick J. |
| Contributors | Guenther, Ronald B. |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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