Results 11 to 20 of about 53 (53)

A Primer on the Vertical Lagrangian‐Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates

Journal of Advances in Modeling Earth Systems, Volume 12, Issue 10, October 2020., 2020
Abstract This paper provides a primer on the mathematical, physical, and numerical foundations of ocean models that are formulated using finite volume generalized vertical coordinate equations and that use the vertical Lagrangian‐remap method to evolve the ocean state.
Stephen M. Griffies, Alistair Adcroft, Robert W. Hallberg   +2 more
wiley   +1 more source

An improved depth‐averaged nonhydrostatic shallow water model with quadratic pressure approximation

International Journal for Numerical Methods in Fluids, Volume 92, Issue 8, Page 803-824, August 2020., 2020
The article presents a new depth‐averaged shallow water wave model with a nonhydrostatic extension and the assumption of a quadratic vertical pressure profile. The model shows significant performance gain for nonlinear long wave propagations over nonconstant bathymetries compared with the linear pressure assumption.
Weizhi Wang, Tobias Martin, Arun Kamath, Hans Bihs   +3 more
wiley   +1 more source

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler   +3 more
wiley   +1 more source

A Numerical 3D‐2D Coupling Strategy for Simulating Landslide‐Generated Tsunamis in Complex Geometries: The Taan Fiord, Alaska, Case Study

Journal of Geophysical Research: Oceans, Volume 130, Issue 12, December 2025.
Abstract Landslide‐generated tsunamis represent a significant hazard, specifically in coastal, fjord, and lake environments. The accurate modeling of these complicated phenomena is crucial for risk assessment and preparation of mitigation strategies.
A. Romano, C. Cecioni, G. Bellotti, G. Barajas, J. L. Lara   +4 more
wiley   +1 more source

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

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

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

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

Nonlinear gravity electro-capillary waves in two-fluid systems: solitary and periodic waves and their stability. [PDF]

J Eng Math, 2022
Broadley H, Papageorgiou DT.
europepmc   +1 more source