TL;DR: In this article, a consistent coupled-mode model was applied to the diffraction of small-amplitude water waves from localized three-dimensional scatterers lying over a parallel-contour bathymetry.

TL;DR: In this paper, a work hardening plasticity model for spud-cans on sand is used for the foundation model and the spectral content of wave loading is considered using NewWave theory, and the importance of random wave histories shown by constraining the deterministic NewWaves into a completely random background.

TL;DR: In this article, a method for the analysis, missing-value completion and simulation of an incomplete non-stationary time series of wave data is presented and validated based on the nonstationary modelling of long-term time series developed by the authors [J. Geophys. Res. 100 (1995) 16,149].

TL;DR: In this article, the error function in the eigenfunction expansion method of Fox and Squire has been modified based on a dimensional analysis and also extended to plates with either a simply supported or a built-in edge.

TL;DR: In this article, an algebraic expression for the dynamic tension of a riser or mooring line is presented, where the variation of the tension along the suspended length is specifically focused.

TL;DR: In this paper, an empirical model for the dynamic tension due to vertical motions at the top of a catenary mooring is presented, which is applicable for forcing at ocean wave frequencies (as opposed to slow drift frequencies).

TL;DR: In this article, a variational equation for a floating thin plate subject to wave forcing is derived from the thin plate equations of motion by including the forcing due to the wave through the integral equation derived using the free surface Green's function.

TL;DR: In this paper, a distribution free method to simulate bivariate non-stationary and non-Gaussian random processes has been developed, which is applied to the simulation of the Hs, Tp of sea state parameters.

TL;DR: In this paper, the axial divergence force and the centrifugal force were investigated for a specific very deep draft spar platform type that is increasingly being used in the oceans, and non-linear equations for wave loading and motion were developed and solved.

TL;DR: In this paper, a physical argument, coupled with a simple model for the quasi-steady buckling of a infinitely long curved beam, allows one to obtain a simple estimative for the critical load, namely, the maximum value of the compression permitted in a given situation.

TL;DR: In this article, the authors investigated the possibility to derive a short wave formulation for the deflection of a large floating flexible platform, excited by waves, and showed that for a flexible half-plane and a strip in deep water, the integral equation can be used to find such a formulation.

TL;DR: In this article, the authors investigated the interaction of water waves with a completely submerged sphere in water of finite depth, and the method of multipole expansions was used to obtain the fluid velocity potential in the form of double series of the associated Legendre functions with the unknown coefficients of the infinite set of infinite matrix equations.

TL;DR: In this paper, the authors extended the existing methods to allow for a mooring line or parts of a MIMO line experiencing large elongation, which is useful to the design and simulation of a mORING-line system used in wave basin tests.

TL;DR: In this paper, Galerkin approximations involving ultraspherical Gegenbauer polynomials are utilized in the mathematical analysis for solving first kind integral equations valid in the union of several disjoint intervals, to obtain very accurate numerical estimates for the reflection coefficient which is depicted graphically against the wave number in a number of figures for various configurations of the slotted barrier.

TL;DR: In this article, a new fundamental mathematical representation of linear free-surface potential flows, called velocity representation, was given, which only involves first derivatives of the Green function and defines the velocity inside a flow domain in terms of source and vortex distributions given by the normal and tangential velocity components of the velocity at the boundary surface.

TL;DR: In this paper, the effects of the submergence of a circular cylinder on the higher-order frequency components of the pressure at the cylinder surface were studied on an experimental basis and it was shown that the bulk of the second and third harmonic term in the pressure is found on the lee side of the cylinder with peak values up to 25 and 15% respectively of the undisturbed pressure at axis for the shallower cylinder condition tested.

TL;DR: In this article, the dynamics of a floating vessel with its spread mooring and riser subjected to environmental excitation from current, wind, and waves is studied to investigate the effect of riser dynamics on the stability and bifurcation sequences of stationkeeping.

TL;DR: In this paper, the second-order propagation of surface gravity waves over an asymmetric rectangular obstacle in an oblique sea is solved numerically using a Green's theorem integral-equation method.

TL;DR: In this article, the probability density function (pdf) for the envelope of the dynamic tension in the risers and mooring lines can be analytically approximated, in general, from the Rayleigh distribution.

TL;DR: In this paper, a stationary vessel heading into long-crested random waves is compared with the profile predicted by a transient wave packet that has been specially formulated to produce the most probable time history of extreme linear relative motion at the bow.

TL;DR: In this article, a numerical model is developed to investigate the resonance and response characteristics of a floating fluid-filled membrane in gravity waves, which consists of three components simulating, respectively, the membrane response and the motions of the fluids inside and outside the membrane.

TL;DR: In this article, the steady wave forces with the standard drift forces in the seakeeping problems were derived in the limit when the velocity is small, and an exact formula obtained [J Fluid Mech. 272 (1994) 147; J FluidMech. 313 (1996) 39] was applied to express the first order influence of wave-current interaction.

TL;DR: In this article, the stability of the equilibrium of a tanker, free to rotate around a vertical axis while being displaced with constant velocity in following sea, is experimentally analyzed, where the configuration emulates a turret system and the only bifurcation parameter is the articulation (turret) position.

TL;DR: In this article, a full-depth numerical model for the free surface flow induced by linear water waves propagating with collinear vertically sheared turbulent currents is presented, which is used to estimate the wave amplitude decay rate in combined wave current flows.

TL;DR: In this article, a Perforated-ball Velocity Meter (PVM) has been used to measure the wave kinematics in linear and nonlinear waves, in long crested as well as short crested random waves.

TL;DR: In this article, the relationship between compressive strength and loss of wall thickness due to corrosion is analyzed, including consideration of Euler global buckling, inelastic global bucking, and the onset of yielding in a member with asymmetric corrosion.

TL;DR: In this paper, the Navier-Stokes equation with free boundary is solved using the SOLA scheme, and the free surface profile is assumed to be a single-valued function.

TL;DR: In this article, the authors analyzed the nonlinear effects deriving from the focussing of unidirectional waves propagating in a wave flume by direct fully nonlinear numerical simulation.