碩士 / 國立成功大學 / 水利及海洋工程學系 / 86 / This article utilizes the finite-element method to
analyze the wavetransmission, reflection on the free surface
and the shear stress on thechannel bottom caused by the
interaction of a nonlinear long wave with an off-shore
submerged structure. The content first focuses on the
process ofdeveloping a general form for the depth-averaged
model. By giving the uniformand linear distributions of
horizontal velocity profiles, one can solve the depth-averaged
continuity and momentum equations to analyze the phenomenon of
waves propagation. As compared with the conventional long-wave
theory, the dissipative effects included by the Boussinesq
equations (BE) for the slowly varying bottom bed have been
regained with the process simpler and moreconcise than that
in the long-wave theory and with the same form as BE at
thecomparable order.
The present study calculates a solitary wave interacting
with anothersolitary wave, and also calculates a solitary wave
interacting with the off-shore submerged structure. From these
one can obtain the evolution of the sur-face elevation and the
relative variation of physical variables. The numericalmodel
which is established by the finite-element method is testified
throughgrid-dependency analysis to obtain the optimal grid size
dx=0.05 and time stepdt=0.01 to match the accuracy
requirement for a solitary wave propagating along a uniform-
depth channel. This numerical model is then used to analyze
the strongly nonlinear interaction for a solitary wave, with
peak up to 0.4 times the water depth, passing over a submerged
structure, with height more than a half the water depth.
In all, the phenomena analyzed by this article are : a
solitary wave propagating along a uniform channel in test
cases by using uniform velocity and linear velocity
distributions; two symmetrical or unsymmetrical solitary waves
interacting with each other in the opposite directions; a
solitary wave interacting with one structure or with two
structures submerged at the channelbottom; two symmetrical
solitary waves in the opposite directions interactingwith one
structure or with two structures submerged at the channel
bottom.
| Identifer | oai:union.ndltd.org:TW/086NCKU1083018 |
| Date | January 1998 |
| Creators | Lin, Te-Chung, 林德昌 |
| Contributors | Tang Chii-Jau, 唐啟釗 |
| Source Sets | National Digital Library of Theses and Dissertations in Taiwan |
| Language | zh-TW |
| Detected Language | English |
| Type | 學位論文 ; thesis |
| Format | 86 |
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