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This paper presents numerical simulations of a bichromatic wave group propagating and breaking over a fixed breaker bar. The simulations are performed using a newly stabilized Reynolds-averaged Navier Stokes (RANS) two-equation turbulence…

Fluid Dynamics · Physics 2020-10-29 B. E. Larsen , D. A. van der A. , J. van der Zanden , G. Ruessink , D. R. Fuhrman

Reconstructing ocean dynamics from observational data is fundamentally limited by the sparse, irregular, and Lagrangian nature of spatial sampling, particularly in subsurface and remote regions. This sparsity poses significant challenges…

Atmospheric and Oceanic Physics · Physics 2025-07-10 Niloofar Asefi , Leonard Lupin-Jimenez , Tianning Wu , Ruoying He , Ashesh Chattopadhyay

Rogue waves, characterized by their abrupt and extreme localization in space and time, have evolved from maritime folklore to subjects of intense study across diverse fields, from hydrodynamics and nonlinear optics to plasmas and condensed…

Pattern Formation and Solitons · Physics 2026-05-19 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

A fully nonlinear potential Numerical Wave Tank (NWT) is developed in two dimensions, using a combination of the Harmonic Polynomial Cell (HPC) method for solving the Laplace problem on the wave potential and the Immersed Boundary Method…

Fluid Dynamics · Physics 2021-08-27 Fabien Robaux , Michel Benoit

Our work is motivated by the analysis of ash plume dynamics, arising in the study of volcanic eruptions. Such phenomena are characterized by large Reynolds number (exceeding $10^7$) and a large number of polydispersed particles~[1]. Thus,…

We present a numerical investigation of two-dimensional decaying turbulence in the Lagrangian framework. Focusing on single particle statistics, we investigate Lagrangian trajectories in a freely evolving turbulent velocity field. The…

Fluid Dynamics · Physics 2009-11-13 Michael Wilczek , Oliver Kamps , Rudolf Friedrich

Lagrangian averaging is a valuable tool for the analysis and modelling of multiscale processes in fluid dynamics. The numerical computation of Lagrangian (time) averages from simulation data is challenging, however. It can be carried out by…

Fluid Dynamics · Physics 2024-12-23 Abhijeet Minz , Lois E. Baker , Hossein A. Kafiabad , Jacques Vanneste

We construct a family of explicit rotational solutions to the nonlinear governing equations for water waves, describing edge waves propagating over a plane-sloping beach. A detailed analysis of the edge wave dynamics and of the run-up…

Fluid Dynamics · Physics 2009-11-07 Adrian Constantin

One method for the numerical treatment of future null-infinity is to decouple coordinates from the tensor basis and choose each in a careful manner. This dual-frame approach is hampered by logarithmically divergent terms that appear in a…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Edgar Gasperin , Shalabh Gautam , David Hilditch , Alex Vañó-Viñuales

Recent increases in computing power have enabled the numerical simulation of many complex flow problems that are of practical and strategic interest for naval applications. A noticeable area of advancement is the computation of turbulent,…

Fluid Dynamics · Physics 2022-11-08 Qiang Gao , Grant B. Deane , Saswata Basak , Umberto Bitencourt , Lian Shen

In this study, a numerical model preserving a class of nontrivial steady-state solutions is proposed to predict waves propagation and waves run-up on coastal zones. The numerical model is based on the Saint-Venant system with source terms…

Numerical Analysis · Mathematics 2022-10-05 H. Karjoun , A. Beljadid

We present a stochastic method for reconstructing missing spatial and velocity data along the trajectories of small objects passively advected by turbulent flows with a wide range of temporal or spatial scales, such as small balloons in the…

Fluid Dynamics · Physics 2024-11-14 Tianyi Li , Luca Biferale , Fabio Bonaccorso , Michele Buzzicotti , Luca Centurioni

The Langevin dynamics is a diffusion process extensively used, in particular in molecular dynamics simulations, to sample Gibbs measures. Some alternatives based on (piecewise deterministic) kinetic velocity jump processes have gained…

Numerical Analysis · Mathematics 2025-05-27 Nicolaï Gouraud , Lucas Journel , Pierre Monmarché

Cellular suspensions such as dense bacterial flows exhibit a turbulence-like phase under certain conditions. We study this phenomenon of "active turbulence" statistically by using numerical tools. Following Wensink et al. [Proc. Natl. Acad.…

Fluid Dynamics · Physics 2018-02-15 Martin James , Michael Wilczek

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

An experimental study of the dynamics and droplet production in three mechanically generated plunging breaking waves is presented in this two-part paper. In the present paper (Part 1), the dynamics of the three breakers are studied through…

Fluid Dynamics · Physics 2023-08-09 Martin A. Erinin , Xinan Liu , Sophie D. Wang , James H. Duncan

A new phenomenological model of turbulent fluctuations is constructed by considering the Lagrangian dynamics of 4 points (the tetrad). The closure of the equations of motion is achieved by postulating an anisotropic, i.e. tetrad shape…

chao-dyn · Physics 2009-10-31 Michael Chertkov , Alain Pumir , Boris I. Shraiman

Aerodynamic prediction of glaze ice accretion on airfoils and wing is studied using the Reynolds-averaged Navier-Stokes method. Two separation fixed turbulence models are developed considering the nonequilibrium characteristics of…

Fluid Dynamics · Physics 2021-05-27 Haoran Li , Yufei Zhang , Haixin Chen

It is demonstrated that a standard coupled-mode theory can successfully describe weakly-nonlinear gravity water waves in Bragg resonance with a periodic one-dimensional topography. Analytical solutions for gap solitons provided by this…

Fluid Dynamics · Physics 2008-10-27 V. P. Ruban

Development of mass-source function based numerical wave tank (NWT) algorithms in the Navier-Stokes (NSE) framework is impeded by multiple design issues such as: (a) optimization of a number of variables characterizing the source region,…

Fluid Dynamics · Physics 2019-10-29 Shaswat Saincher , Jyotirmay Banerjee
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