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Title:
Title:
Title:
Title: Spectral Analysis of Submarine Pipelines Wave Loading
Title: Design Wave in Maritime Construction
Title: Hidraulic Modelling Including Wave Spectral Applications
by Engineers
Title: Mathematical Models of Wind Wave Spectrum
Title: Wind Waves Parameters
Title: Optimization of Spillway Profile Parameters on Steps in
Small Watercourses
Title:
Title:
Title: NEW TYPE OF STREAM FUNCTION IN WAVE THEORY
Faculty: GRAćEVINSKI ZAGREB
Author: KUSPILIĆ NEVEN
Date of defense: 05/19/94
Language: hrvatski
Number of pages: 100
Summary: Many theories are developed for mathematical description of
wave motion, most of them assuming velocity potential function. These wave
theories for the transition and shalow watergive mor or less reliable
results expressed as descriptions of motion of water particles. The most
reliable results according to the dynamic surface boundary condition are
obtaining by the Dean wave theory of stream function. In the Dean theory,
some difficulties occur regarding convergence of solutions, caused by
hiperbolic term in the stream function. In this paper, the stream function
with the exponential term has been selected instead of the hyperbolic term.
It has been shown that, with such choise, in the standard and modified
Newton method of solving N nonlinear equations with N unknows, the solution
is converging. The order of size of the error in the dynamic surface
boundary condition is negligible (10 -7). Introduction of the exponential
term into the stream function does not satisfy the kinematic bottom
boundary condition exactly. Previous authors, by choosing the stream
function with the hyperbolic term, satisfied the kinematic bottom boundary
condition exactly. It has been shown that the error thus introduced is of
the some order as the errors in the order two surface boundary conditions
Keywords: wave theories, stream function theory, hyperbolic term, exponential term, boundary conditions, convergence of solutions
Title: New Type of Stream Function in Wave Theory
Faculty: GRAćEVINSKI ZAGREB
Mentor: VUKOVIĆ ŽIVKO
Date of defense: 05/19/95
Number of pages: 100
Author: Kuspilić Neven
Degree level: Ph.D.
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