Results 31 to 40 of about 1,671 (82)

The Stratified Ocean Model With Adaptive Refinement (SOMARv2)

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 11, November 2025.
Abstract Numerical studies of submesoscale ocean dynamics are restricted by several challenges, including its vast range of scales, nonhydrostatic features, and strong anisotropy. The Stratified Ocean Model with Adaptive Refinement (SOMAR) was developed to address many of these issues.
Edward Santilli, Yun Chang, Alberto Scotti   +2 more
wiley   +1 more source

Dispersive wave runup on non-uniform shores [PDF]

, 2011
Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of such schemes to dispersive PDEs.
A Harten, AI Delis, AS Fokas, B Leer van, D Dutykh, DH Peregrine, E Audusse, JM Ghidaglia, M Simon, S Hibberd, S Tadepalli, T Benjamin, V.V. Titov, Y Kervella   +13 more
core   +4 more sources

Physics‐Informed Neural Networks for Solving the Two‐Dimensional Shallow Water Equations With Terrain Topography and Rainfall Source Terms

Water Resources Research, Volume 61, Issue 9, September 2025.
Abstract Solving the two‐dimensional Shallow Water Equations (SWE) is a fundamental problem in flood simulation technology. In recent years, physics‐informed neural networks (PINNs) have emerged as a novel methodology for addressing this problem. Given their advantages in parallel computing, potential for data assimilation and parameter calibration ...
Yongfu Tian, Shan Ding, Lida Huang, Guofeng Su, Jianguo Chen   +4 more
wiley   +1 more source

Do peaked solitary water waves indeed exist?

, 2013
Many models of shallow water waves admit peaked solitary waves. However, it is an open question whether or not the widely accepted peaked solitary waves can be derived from the fully nonlinear wave equations.
Alam, Benjamin, Blasius, Boussinesq, Camassa, Choi, Cokelet, Constantin, Fenton, Fenton, Fuchssteiner, Graham, Grue, Kataoka, Kharif, Kirby, Kirby, Korteweg, Kraenkel, Lamb, Li, Liao, Liao, Liao, Liao, Liao, Liao, Liao, Liao, Liao, Liao, Liao, Liao, Longuet-Higgins, Massel, Massel, Mattioli, Mattioli, McKee, Mei, Porter, Rajchenbach, Rayleigh, Rienecker, Rosatti, Schwartz, Shijun Liao, Stokes, Tao, Turkyilmazoglu, Turkyilmazoglu, Vajravelu, Wu, Xu, Xu, Zhu   +55 more
core   +1 more source

Dissipative Boussinesq equations [PDF]

, 2007
The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which ...
Dias, Frédéric, Dutykh, Denys
core   +5 more sources

Higher‐order integrable models for oceanic internal wave–current interactions

Studies in Applied Mathematics, Volume 153, Issue 4, November 2024.
Abstract In this paper, we derive a higher‐order Korteweg–de Vries (HKdV) equation as a model to describe the unidirectional propagation of waves on an internal interface separating two fluid layers of varying densities. Our model incorporates underlying currents by permitting a sheared current in both fluid layers, and also accommodates the effect of ...
David Henry, Rossen I. Ivanov, Zisis N. Sakellaris   +2 more
wiley   +1 more source

Efficient computation of capillary-gravity generalized solitary waves [PDF]

, 2016
This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of ...
Clamond, Didier, Duran, Angel, Dutykh, Denys   +2 more
core   +4 more sources

A Pressure Projection Scheme With Near‐Spectral Accuracy for Nonhydrostatic Flow in Domains With Open Boundaries

Journal of Advances in Modeling Earth Systems, Volume 16, Issue 6, June 2024.
Abstract We describe a pressure projection scheme for the simulation of incompressible flow in cubic domains with open boundaries based on fast Fourier transforms. The scheme is implemented in flow_solve, a numerical code designed for process studies of rotating, density‐stratified flow.
K. B. Winters, Mariona Claret, M.‐Pascale Lelong, Yann Ourmières   +3 more
wiley   +1 more source

How Currents Trigger Extreme Sea Waves. The Roles of Stokes Drift, Eulerian Return Flow, and a Background Flow in the Open Ocean

Geophysical Research Letters, Volume 51, Issue 6, 28 March 2024.
Abstract A deterministic system of ocean surface waves and flow in the oceanic boundary layer is key to understanding the dynamics of the upper ocean. For the description of such complex systems, a higher‐order shear‐current modified nonlinear Schrödinger equation is newly derived and then used to physically interpret the interplay between Stokes drift,
Yan Li, Amin Chabchoub
wiley   +1 more source

Wave-Slope Soaring of the Brown Pelican [PDF]

, 2019
We theoretically assess the energy savings associated with wave-slope soaring of the brown pelican over near-shoaling ocean surface waves. The steady, constant altitude flight of a pelican is analyzed as a control.
Stokes, Ian
core