Robert T. Hudspeth

Bio: Robert T. Hudspeth is an academic researcher from Oregon State University. The author has contributed to research in topics: Nonlinear system & Wind wave. The author has an hindex of 15, co-authored 80 publications receiving 745 citations. Previous affiliations of Robert T. Hudspeth include University of Florida & Polish Academy of Sciences.

Journal of Waterway, Port, Coastal, and Ocean Engineering

Abstract: The Journal of Waterway, Port, Coastal, and Ocean Engineering presents information regarding the engineering aspects of dredging, floods, ice, pollution, sediment transport, and tidal wave action that affect shorelines, waterways, and harbors. The development and operation of ports, harbors, and offshore facilities, as well as deep ocean engineering and shore protection and enhancement, are also covered. Other topics include the regulation and stabilization of rivers and the economics of beach nourishment.

Stokes drift in two-dimensional wave flumes

Abstract: A complete second-order solution is presented for the two-dimensional wave motion forced by a generic planar wavemaker. The wavemaker is doubly articulated and includes both piston and hinged wavemakers of variable draught. It is shown that the first-order evanescent eigenseries cannot be neglected when computing the amplitude of the second-order free wave. A previously neglected, time-independent solution that is required to satisfy an inhomogeneous kinematic boundary condition on the wavemaker as well as an inhomogeneous Neumann boundary condition on the free surface is examined in detail for the first time. The time-independent solution is found to accurately estimate the mean return flow in a closed wave flume computed by the Eulerian method. This mean return current due to Stokes drift is usually estimated using the principle of kinematic conservation of mass flux. Even though the first-order eigenseries will converge for any geometry of a generic planar wavemaker, the second-order solutions obtained from Stokes perturbation expansions will not converge for all planar wavemaker geometries.

Restoring forces on vertical circular cylinders forced by earthquakes

Abstract: An eigenfunction solution is presented for the dynamic response of vertical circular cylinders to earthquake excitation in a compressible fluid of finite depth. This single eigenseries expansion eliminates the need for a double summation over both the eigenfunctions and the trial functions as required by Rayleigh-Ritz methods. Revised definitions for the added mass and hydrodynamic radiation damping coefficients per unit length are derived from the hydrodynamic fluid pressures. Based on comparisons between these newly defined coefficients, the compressibility of the fluid is found to be relatively more important at dimensionless frequencies greater than unity (ω > 1.0) when analysing both rigid and flexible cylinders having relatively large diameter to water depth ratios,r0/h > 0.25 (squatty type). This conclusion regarding the relative importance of the fluid compressibility is derived from a comparison between the relative magnitudes and the vertical distributions over depth of both the added mass and radiation damping coefficients per unit length for both rigid and flexible squatty cylinders. From additional comparisons with Rayleigh-Ritz solutions that require trial functions, the results for totally immersed flexible slender cylinders (r0/h 0.25) are not. The reason for this difference appears to be in the truncation of the trial function series in the Rayleigh-Ritz methods, which excludes the higher mode shapes, and in the definitions of the added mass coefficients. Comparisons with laboratory data for both rigid and flexible cylinders confirm the accuracy of the solutions obtained by the eigenseries in the limited frequency interval above the highest frequency for surface gravity waves (f > 1.0 Hz) and below the first dimensionless cut-off frequency for acoustic waves (ω< 1.0).

Comparisons of Numerical Random Sea Simulations

Abstract: Two numerical models previously developed by Rice for modeling Gaussian, white-noise, electronic signals are used to simulate in the frequency domain nonlinear random ocean waves in water of finite depth. The following two models were developed by Rice: (1) Nondeterministic Spectral Amplitude model (NSA), and (2) Deterministic Spectral Amplitude model (DSA). These two Rice models are used with finite Fourier transform (FFT) algorithm to simulate linear Gaussian random wave realizations by the process of filtering Gaussian white noise in the frequency domain. A nonlinear random wave interaction matrix then operates on the linear Gaussian wave spectra to generate a complex-valued nonlinear random wave spectrum that is correct to second-order in the Stoke's wave perturbation parameter. Both the lineear and the nonlinear realizations obtained from both of Rice's two simulation models are compared with a realization obtained from hurricane-generated real ocean waves measured in the Gulf of Mexico. Statistical comparisons indicate that the NSA Rice model is better for both linear and nonlinear random wave simulations when band-limited white noise is digitally filtered.

Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles

Abstract: The interaction of waves with obstacles is an everyday phenomenon in science and engineering, arising for example in acoustics, electromagnetism, seismology and hydrodynamics. The mathematical theory and technology needed to understand the phenomenon is known as multiple scattering, and this book is the first devoted to the subject. The author covers a variety of techniques, describing first the single-obstacle methods and then extending them to the multiple-obstacle case. A key ingredient in many of these extensions is an appropriate addition theorem: a coherent, thorough exposition of these theorems is given, and computational and numerical issues around them are explored. The application of these methods to different types of problems is also explained; in particular, sound waves, electromagnetic radiation, waves in solids and water waves. A comprehensive bibliography of some 1400 items rounds off the book, which will be an essential reference on the topic for applied mathematicians, physicists and engineers.

Narrow-band nonlinear sea waves

Abstract: Probabilistic description of nonlinear waves with a narrow-band spectrum is simplified to a form in which each realization of the surface displacement becomes an amplitude-modulated Stokes wave with a mean frequency and random phase. Under appropriate conditions this simplification provides a convenient yet rigorous means of describing nonlinear effects on sea surface properties in a semiclosed or closed form. In particular, it is shown that surface displacements are non-Gaussian and skewed, as was previously predicted by the Gram-Charlier approximation; that wave heights are Rayleigh distributed, just as in the linear case; and that crests are non-Rayleigh.

Multiple Scattering, Interaction of Time-Harmonic Waves with N Obstacles

Abstract: This article reviews Multiple Scattering, Interaction of Time-Harmonic Waves with N Obstacles by P. A. Martin , 2006. 450 pp. Price: $140.00 (hardcover). ISBN: 0-521-86554-9