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In this paper, we develop an efficient method to evaluate the temporal exceeding probability of ship motion (percentage of time for the ship motion to be above a given high threshold) in an irregular wave field. Our method builds on our…

Fluid Dynamics · Physics 2025-08-29 Shayesteh Hafezi , Xianliang Gong , Yulin Pan

We consider the statistics of extreme ship motions in a nonlinear irregular wave field. While an accurate computation is possible by using a full Monte-Carlo method to cover all individual wave conditions, the computational cost may become…

Fluid Dynamics · Physics 2021-08-10 Xianliang Gong , Zhou Zhang , Kevin J. Maki , Yulin Pan

In this work, we develop a computational framework to efficiently quantify the temporal exceeding probability of ship responses in a random wave field, i.e., the fraction of time that ship responses exceed a given threshold. In particular,…

Fluid Dynamics · Physics 2022-06-10 Xianliang Gong , Katerina Siavelis , Zhou Zhang , Yulin Pan

Parametric rolling is a parametric excitation phenomenon caused by GM variation in waves. There are a lot of studies of the estimation the conditions, the occurrence, and the amplitude of parametric rolling. On the other hand, there are…

Fluid Dynamics · Physics 2024-07-04 Keiji Katsumura , Leo Dostal , Taiga Kono , Yuuki Maruyama , Masahiro Sakai , Atsuo Maki

Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). A number of theoretical studies have been performed to estimate the occurrence condition of parametric rolling in both…

Applied Physics · Physics 2023-09-15 Atsuo Maki , Yuuki Maruyama , Yaliu Liu , Leo Dostal

Recent developments in system identification have brought attention to regularized kernel-based methods, where, adopting the recently introduced stable spline kernel, prior information on the unknown process is enforced. This reduces the…

Systems and Control · Computer Science 2016-05-20 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

The issue of accounting of the wave breaking phenomenon in direct numerical simulations of oceanic waves is discussed. It is emphasized that this problem is crucial for the deterministic description of waves, and also for the dynamical…

Fluid Dynamics · Physics 2019-04-04 Alexey Slunyaev , Anna Kokorina

Waves traveling through random media exhibit random focusing that leads to extremely high wave intensities even in the absence of nonlinearities. Although such extreme events are present in a wide variety of physical systems and the…

Chaotic Dynamics · Physics 2015-06-17 Jakob J. Metzger , Ragnar Fleischmann , Theo Geisel

This work studies the problem of predicting the loads and motions induced by wave systems on a ship in forward motion (seakeeping). Assuming that the hull is rigid, the motion of the ship is described by the equations of rigid body…

Fluid Dynamics · Physics 2025-04-11 Andrea Colagrossi

Correct prediction of particle transport by surface waves is crucial in many practical applications such as search and rescue or salvage operations and pollution tracking and clean-up efforts. Recent results have indicated transport by…

Fluid Dynamics · Physics 2023-01-26 D. Eeltink , R. Calvert , J. E. Swagemakers , Qian Xiao , T. S. van den Bremer

The evolution of crossing sea states and the emergence of rogue waves in such systems are studied via numerical simulations performed using a higher order spectral method to solve the free surface Euler equations with a flat bottom. Two…

Fluid Dynamics · Physics 2019-02-14 J. Brennan , J. M. Dudley , F. Dias

In the field of Maritime Autonomous Surface Ships (MASS), the accurate modeling of ship maneuvering motion for harbor maneuvers is a crucial technology. Non-parametric system identification (SI) methods, which do not require prior knowledge…

Systems and Control · Electrical Eng. & Systems 2024-12-03 Kouki Wakita , Youhei Akimoto , Atsuo Maki

We consider an input-to-response (ItR) system characterized by (1) parameterized input with a known probability distribution and (2) stochastic ItR function with heteroscedastic randomness. Our purpose is to efficiently quantify the extreme…

Methodology · Statistics 2022-05-18 Xianliang Gong , Yulin Pan

Research on the statistics of extreme events using deterministic wave group methods has largely been simplified to vessels at zero or constant speed and heading. In contrast, free-running vessels move with six degrees-of-freedom (6-DoF),…

Fluid Dynamics · Physics 2025-12-24 Kevin M. Silva , Kevin J. Maki

A stochastic approach is implemented to address the problem of a marine structure exposed to water wave impacts. The focus is on (i) the average frequency of wave impacts, and (ii) the related probability distribution of impact kinematic…

Fluid Dynamics · Physics 2021-06-24 Romain Hascoët , Marc Prevosto , Nicolas Raillard , Nicolas Jacques , Alan Tassin

We are concerned with hyperbolic systems of order-one linear PDEs originated on non-characteristic manifolds. We put forward a simple but effective method of transforming such initial conditions to standard initial conditions (i.e. when the…

Analysis of PDEs · Mathematics 2019-05-22 Alexei Rybkin

Three-dimensional cardiovascular fluid dynamics simulations typically require computation of several cardiac cycles before they reach a periodic solution, rendering them computationally expensive. Furthermore, there is currently no…

Computational Engineering, Finance, and Science · Computer Science 2021-06-28 Martin R. Pfaller , Jonathan Pham , Nathan M. Wilson , David W. Parker , Alison L. Marsden

We investigate the role of the initial condition used for the hydrodynamic evolution of the system formed in ultra-relativistic heavy-ion collisions and find that an appropriate choice motivated by the models of early-stage dynamics,…

Nuclear Theory · Physics 2008-11-26 Wojciech Broniowski , Mikolaj Chojnacki , Wojciech Florkowski , Adam Kisiel

Power curve is widely used in the wind industry to estimate power output for planning and operational purposes. Existing methods for power curve estimation have three main limitations: (i) they mostly rely on wind speed as the sole input,…

Applications · Statistics 2021-06-30 Behzad Golparvar , Petros Papadopoulos , Ahmed Aziz Ezzat , Ruo-Qian Wang

We address the propagation into an unstable state of a localised disturbance in a forward-backward diffusion pseudo-parabolic equation. Three asymptotic regimes are distinguished as t tends to infinity, the first being a regime ahead of the…

Analysis of PDEs · Mathematics 2016-05-27 C. M. Cuesta , J. R. King
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