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Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for sufficiently regular initial configurations. Our findings give…

偏微分方程分析 · 数学 2023-08-21 Thomas Alazard , Jeremy L. Marzuola , Jian Wang

Reconfigurable intelligent surface (RIS) or intelligent reflecting surface (IRS) has been an attractive technology for future wireless communication and sensing systems. However, in the practical RIS, the mutual coupling effect among RIS…

信号处理 · 电气工程与系统科学 2023-09-26 Zhimin Chen , Peng Chen , Le Zheng , Yudong Zhang

We introduce the Linearized Diffusion Map (LDM), a novel linear dimensionality reduction method constructed via a linear approximation of the diffusion-map kernel. LDM integrates the geometric intuition of diffusion-based nonlinear methods…

机器学习 · 计算机科学 2025-07-22 Julio Candanedo

We study and implement a simple method, based on the Perfectly Matched Layer approach, to treat non reflecting boundary conditions with the Smoothed Particles Hydrodynamics numerical algorithm. The method is based on the concept of physical…

计算物理 · 物理学 2012-02-28 Molteni Diego , Rosario Grammauta , Enrico Vitanza

A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equations, we reduce the problem to a system of two equations on…

大气与海洋物理 · 物理学 2007-10-09 David Lannes , Philippe Bonneton

This paper presents a nonlinear reduced-order modeling (ROM) framework that leverages deep learning and manifold learning to predict compressible flow fields with complex nonlinear features, including shock waves. The proposed DeepManifold…

流体动力学 · 物理学 2024-12-17 Bilal Mufti , Christian Perron , Dimitri N. Mavris

In this paper, we consider a problem inspired by the real-world need to identify the topographical features of ocean basins. Specifically we consider the problem of estimating the bottom impermeable boundary to an inviscid, incompressible,…

偏微分方程分析 · 数学 2023-08-22 Vishal Vasan , Manisha , Didier Auroux

In this article, we develop a reduced basis method for efficiently solving the coupled Stokes/Darcy equations with parametric internal geometry. To accommodate possible changes in topology, we define the Stokes and Darcy domains implicitly…

数值分析 · 数学 2021-11-10 Stein K. F. Stoter , Etienne Jessen , Viktor Niedens , Dominik Schillinger

In order to improve the frequency dispersion effects of irrotational shallow water models in coastal oceanography, several full dispersion versions of classical models were formally derived in the literature. The idea, coming from G.…

偏微分方程分析 · 数学 2020-04-21 Louis Emerald

Motivated by observations of turbulence in the strongly stratified ocean thermocline, we use direct numerical simulations to investigate the interaction of a sinusoidal shear flow and a large-amplitude internal gravity wave. Despite strong…

流体动力学 · 物理学 2023-06-22 Christopher J. Howland , John R. Taylor , C. P. Caulfield

In this paper, a diffuse-interface lattice Boltzmann method (DI-LBM) is developed for fluid-particle interaction problems. In this method, the sharp interface between the fluid and solid is replaced by a thin but nonzero thickness…

计算物理 · 物理学 2021-06-17 Jiao Liu , Changsheng Huang , Zhenhua Chai , Baochang Shi

The linearized water-wave radiation problem for an oscillating submerged line source in an inviscid shear flow with a free surface is investigated analytically at finite, constant depth in the presence of a shear flow varying linearly with…

流体动力学 · 物理学 2016-06-29 Simen Å. Ellingsen , Peder A. Tyvand

In the present manuscript, we consider the problem of dispersive wave simulation on a rotating globally spherical geometry. In this Part IV, we focus on numerical aspects while the model derivation was described in Part III. The algorithm…

计算物理 · 物理学 2020-02-20 Gayaz Khakimzyanov , Denys Dutykh , Oleg Gusev

In this paper, we study the nonlinear dispersive waves including the rarefaction and dispersive shock waves in the discrete modified KdV equation through the numerical simulations of the dispersive Riemann problems. In particular, we…

斑图形成与孤子 · 物理学 2026-04-06 Su Yang

The statistical evolution of ensembles of random, weakly-interacting waves is governed by wave kinetic equations. To simplify the analysis, one frequently works with reduced differential models of the wave kinetics. However, the conditions…

光学 · 物理学 2023-08-02 Jonathan Skipp , Jason Laurie , Sergey Nazarenko

Current scene depth estimation approaches mainly rely on optical sensing, which carries privacy concerns and suffers from estimation ambiguity for distant, shiny, and transparent surfaces/objects. Reconfigurable intelligent surfaces (RISs)…

信号处理 · 电气工程与系统科学 2022-11-16 Abdelrahman Taha , Hao Luo , Ahmed Alkhateeb

A fundamental challenge in ocean dynamics is disentangling balanced motions and internal waves. Extracting internal tidal (IT) imprints from surface data is a central part of this challenge. Traditional harmonic analysis can fail under…

流体动力学 · 物理学 2026-04-29 Han Wang , Jeffrey Uncu , Kaushik Srinivasan , Nicolas Grisouard

We study laminar thin film flows with large distortions in the free surface using the method of averaging across the flow. Two concrete problems are studied: the circular hydraulic jump and the flow down an inclined plane. For the circular…

流体动力学 · 物理学 2007-05-23 Shinya Watanabe , Vachtang Putkaradze , Tomas Bohr

A novel approach combining agile beam switching with deep learning to enhance the speed and accuracy of Direction of Arrival (DOA) estimation for millimeter-wave (mmWave) phased array systems with low-complexity hardware implementations is…

信号处理 · 电气工程与系统科学 2025-08-19 Arav Sharma , Lei Chi , Ari Gebhardt , Alon S. Levin , Timothy R. Hoerning , Sam Keene

The dispersion surfaces of printed periodic structures in layered media are efficiently computed using a full-wave method based on the periodic Method of Moments (MoM). The geometry of the dispersion surface is estimated after mapping the…

计算物理 · 物理学 2023-09-27 Denis Tihon , Shambhu Nath Jha , Modeste Bodehou , Christophe Craeye