It is well known that if the solution of flow equations has regions of high spatial activity, a standard fixed mesh technique is ineffective, since it should contain a very large number of mesh points. In case of hyperbolic problems of gas dynamics there are domains containing shock waves and contact discontinuities. A moving mesh adaptation algorithm is applied to reduce computational costs in...

Large in situ measured ship-induced depression waves (Bernoulli wakes) in the Malamocco–Marghera industrial channel of the Venice Lagoon are interpreted as long-living strongly nonlinear Riemann (simple) waves of depression. The properties of these depressions are numerically replicated using nonlinear shallow water theory and the CLAWPACK software. The further behaviour of measured depressions...

In the quest for a numerical method surface waves and wave-induced effects applicable when linear or weakly nonlinear methods are insufficient, three-dimensional wave tank assuming fully-nonlinear potential-flow theory is proposed. When viscous-flow effects, breaking other violent flow-phenomena not of primary importance, may have similar capability in capturing involved physics as Navier–Stoke...

A literature review shows that the most important physical quantities determining environmental impact of ship waves in a waterway are fluid velocities, maximum and minimum water levels, size drawdown events. Fluid velocity can vary strongly vertical so usual measurements at single point not enough unless made near where effects important, often bed. Customary use wave height as measure has bee...

arises as the equation for solitary-wave solutions to a fifth-order long-wave equation for gravitycapillary water waves. Being Hamiltonian, reversible and depending upon two parameters, it shares the structure of the full steady water-wave problem. Moreover, all known analytical results for local bifurcations of solitary-wave solutions to the full water-wave problem have precise counterparts fo...

Observed crest speeds of maximally steep, breaking water waves are much slower than expected. Our fully nonlinear computations of unsteadily propagating deep water wave groups show that each wave crest approaching its maximum height slows down significantly and either breaks at this reduced speed, or accelerates forward unbroken. This previously noted crest slowdown behavior was validated as ge...

Ship roll motion in high sea states has large amplitudes and nonlinear dynamics, its prediction is significant for operability, safety, survivability. This paper presents a novel data-driven methodology to provide multi-step of ship motions states. A hybrid neural network proposed that combines long short-term memory (LSTM) convolutional (CNN) parallel. The motivation extract the dynamic charac...