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We review some recent work in fast, efficient and accurate methods to compute viscosity solutions and non-viscosity solutions to static Hamilton-Jacobi equations which arise in optimal control, anisotropic front propagation, and multiple…

数值分析 · 数学 2025-10-20 J. A. Sethian

The numerical simulation of the nonlinear dynamics of random sea waves at moderately small Benjamin-Feir indices and its comparison with the linear dynamics (at the coincidence of spatial Fourier harmonics near a spectral peak at a certain…

流体动力学 · 物理学 2016-09-05 V. P. Ruban

Hydrodynamic equations are used to identify the final state reached by a freely evolving granular gas above but close to its shear instability. The theory predicts the formation of a two bands shear state with a steady density profile.…

统计力学 · 物理学 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero , A. Dominguez

A formulation is developed to assimilate ocean-wave data into the Numerical Flow Analysis (NFA) code. NFA is a Cartesian-based implicit Large-Eddy Simulation (LES) code with Volume of Fluid (VOF) interface capturing. The sequential…

大气与海洋物理 · 物理学 2014-10-03 Douglas G. Dommermuth , Christopher D. Lewis , Vu H. Tran , Miguel A. Valenciano

The flow field generated by a transom stern hull form is a complex, broad-banded, three-dimensional system marked by a large breaking wave. This unsteady multiphase turbulent flow feature is difficult to study experimentally and simulate…

Hammack & Segur (1978) conducted a series of surface water-wave experiments in which the evolution of long waves of depression was measured and studied. This present work compares time series from these experiments with predictions from…

流体动力学 · 物理学 2018-05-02 John D. Carter

The seabed characterization from sonar images is a very hard task because of the produced data and the unknown environment, even for an human expert. In this work we propose an original approach in order to combine binary classifiers…

人工智能 · 计算机科学 2008-12-18 Arnaud Martin , Isabelle Quidu

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…

流体动力学 · 物理学 2019-02-14 J. Brennan , J. M. Dudley , F. Dias

As mentioned by Schwartz (1974) and Cokelet (1977), it was failed to gain convergent results of limiting Stokes' waves in extremely shallow water by means of perturbation methods even with the aid of extrapolation techniques such as…

流体动力学 · 物理学 2018-04-06 Xiaoxu Zhong , Shijun Liao

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…

混沌动力学 · 物理学 2015-06-17 Jakob J. Metzger , Ragnar Fleischmann , Theo Geisel

We review recent progress in modeling the probability distribution of wave heights in the deep ocean as a function of a small number of parameters describing the local sea state. Both linear and nonlinear mechanisms of rogue wave formation…

混沌动力学 · 物理学 2012-07-11 L. H. Ying , Z. Zhuang , E. J. Heller , L. Kaplan

The growing demand for offshore wind energy has led to a significant increase in wind turbine size and to the development of large-scale wind farms, often comprising 100 to 150 turbines. However, the environmental impact of underwater noise…

大气与海洋物理 · 物理学 2025-03-11 Laura Botero Bolívar , Oscar A. Marino Sńchez , Martín de Frutos , Esteban Ferrer

A stochastic second-order wave model is applied to assess the statistical properties of wave orbital velocity in random sea states below the water surface. Directional spreading effects as well as the dependency of the water depth are…

A Bayesian probability based approach is applied to the problem of detecting and parameterizing oscillations in the upper solar atmosphere for the first time. Due to its statistical origin, this method provides a mechanism for determining…

天体物理学 · 物理学 2008-12-18 M. S. Marsh , J. Ireland , T. Kucera

The kinematic properties of unsteady highly non-linear 3D wave groups have been investigated using a numerical wave tank. Although carrier wave speeds based on zero-crossing analysis remain within +-7% of linear theory predictions, crests…

大气与海洋物理 · 物理学 2015-08-26 X. Barthelemy , M. L. Banner , W. L. Peirson , F. Dias , M. Allis

The frontal structure of the Southern Ocean is investigated using a sophisticated frontal detection methodology, the Wavelet/Higher Order Statistics Enhancement (WHOSE) method, introduced in \cite{Chapman2014}. This methodology is applied…

大气与海洋物理 · 物理学 2016-10-03 Christopher C. Chapman

We investigate how the presence of a vertically sheared current affects wave statistics, including the probability of rogue waves, and apply it to a real-world case using measured spectral and shear current data from the Mouth of the…

流体动力学 · 物理学 2023-01-18 Zibo Zheng , Yan Li , Simen Å Ellingsen

We consider the wave equation in a bounded domain (eventually convex). Two kinds of inequality are described when occurs trapped ray. Applications to control theory are given. First, we link such kind of estimate with the damped wave…

偏微分方程分析 · 数学 2009-12-14 Kim Dang Phung

We study the propagation of two-dimensional tsunami waves triggered by a seaquake in the open sea in the presence of underlying wind-generated currents, corresponding to background flows of constant vorticity. A suitable scaling of the…

偏微分方程分析 · 数学 2023-02-15 Frederick Moscatelli

The formulation of a canonical deep-water breaking wave problem is introduced, and the results of a set of three-dimensional numerical simulations for deep-water breaking waves are presented. In this paper fully nonlinear progressive waves…

流体动力学 · 物理学 2014-10-08 Kyle A. Brucker , Thomas T. O'Shea , Douglas G. Dommermuth , Paul Adams