A complete solution, exact to second-order, for wave motion
forced by a hinged-wavemaker of variable-draft is presented. A
solution for a piston type wavemaker is also obtained as a special
case of a hinged-wavemaker with negative infinite draft. The
existing Stokes inviscid theories for mass transport is extended to
include...
A global solution is presented that accurately accounts for the
singular behavior at all irregular points. The linearized boundary
value problem in a semi-infinite strip in the physical plane is
transformed into a smooth unit disk by two successive conformal
mappings. The global solution results from a Fredholm integral
equation...
Two types of linear random wave simulation methods are investigated;
viz., (1) Deterministic Spectral Amplitude (DSA) and (2) Nondeterministic
Spectral Amplitude (NSA). These linear simulations are extended to
second-order in a perturbation expansion in the frequency domain by
utilizing a Fast Fourier Transform (FFT).
The nonlinear interaction matrix for waves...
The Melnikov method is applied to a model of parametrically generated cross-waves in a long rectangular channel in order to determine if these cross-waves are chaotic. A great deal of preparation is involved in order to obtain a suitable form for the application of the Melnikov method. The Lagrangian for...
The decision to bury high level nuclear wastes in deep geological formations
led to the study of the Hanford Nuclear Reservation as one of three possible sites for
the first nuclear waste repository in the United States. To adequately evaluate the
environmental impact of siting nuclear waste repositories in basalt...
The Wiggins-Holmes extension of the generalized
Melnikov method (GMM) is applied to weakly damped
parametrically excited cross waves with surface tension in
a long rectangular wave channel in order to determine if
these cross waves are chaotic. The Lagrangian density
function for surface waves with surface tension is
simplified by...
A second-order nonlinear diffraction theory is developed for a
large diameter circular cylinder under the action of surface gravity
waves of finite amplitude in water of-finite depth. Boundary value
problems are derived by using a perturbation expansion and the
solutions for the diffracted waves are given in terms of Fredholm...
The dynamic response of an offshore structure to measured and simulated
stochastic wave forces is investigated. The theoretical nondeterministic
analysis is performed in the frequency domain for a two-dimensional
model. The ocean wave system is assumed to be a zero mean, stationary,
ergodic Gaussian process described by a one-dimensional wave...