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The aim of this work is to introduce and analyze a finite element discontinuous Galerkin method on polygonal meshes for the numerical discretization of acoustic waves propagation through poroelastic materials. Wave propagation is modeled by…

数值分析 · 数学 2021-04-14 Paola F. Antonietti , Michele Botti , Ilario Mazzieri , Simone Nati Poltri

The main goal of this paper is to estimate the regional acoustic and geoacoustic shallow-water environment from data collected by a vertical hydrophone array and transmitted by distant time-harmonic point sources. We aim at estimating the…

偏微分方程分析 · 数学 2019-09-04 Laure Dumaz , Josselin Garnier , Guilhem Lepoultier

Consider a two-dimensional stratified solitary wave propagating through a body of water that is bounded below by an impermeable ocean bed. In this work, we study how such a wave can be reconstructed from data consisting of the wave speed,…

流体动力学 · 物理学 2015-03-02 Robin Ming Chen , Samuel Walsh

We describe a proof-of-concept development and application of a phase averaging technique to the nonlinear rotating shallow water equations on the sphere, discretised using compatible finite element methods. Phase averaging consists of…

数值分析 · 数学 2023-05-15 Hiroe Yamazaki , Colin J Cotter , Beth Wingate

We investigate the possibility to extract information contained in seismic waveforms propagating in fluid-filled porous media by developing and using a full waveform inversion procedure valid for layered structures. To reach this objective,…

地球物理 · 物理学 2010-01-19 Louis De Barros , Michel Dietrich

An explicit finite-difference scheme is presented for solving the two-dimensional Biot equations of poroelasticity across the full range of frequencies. The key difficulty is to discretize the Johnson-Koplik-Dashen (JKD) model which…

经典物理 · 物理学 2013-12-11 Emilie Blanc , Guillaume Chiavassa , Bruno Lombard

A coupled system composed of a Newtonian fluid located on a sinusoidally-forced elastic solid is studied analytically and numerically. The focus is on the transient evolution from the beginning of the forced oscillations and on the periodic…

流体动力学 · 物理学 2026-01-16 Aaron D'Cruz , Pierre Ricco

The dynamics of internal waves in stratified media, such as the ocean or atmosphere, is highly dependent on the topography of their floor. A closed-form analytical solution can be derived only in cases when the water distribution density…

流体动力学 · 物理学 2012-07-10 Vitaly V. Bulatov , Yuriy V. Vladimirov

The numerical analysis of elastic wave propagation in unbounded media may be difficult to handle due to spurious waves reflected at the model artificial boundaries. Several sophisticated techniques such as nonreflecting boundary conditions,…

经典物理 · 物理学 2010-09-06 Jean-François Semblat , Ali Gandomzadeh , Luca Lenti

Existing theoretical results for attenuation of surface waves propagating on water of random fluctuating depth are shown to over predict the rate of decay due to the way in which ensemble averaging is performed. A revised approach is…

流体动力学 · 物理学 2026-03-05 Lloyd Dafydd , Richard Porter

A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. from liquid to solid and vice versa in the case of freezing…

应用物理 · 物理学 2026-05-22 Petr Nikolaev , Majid Sedighi , Andrey P Jivkov , Lee Margetts

An FFT-based algorithm is developed to simulate the propagation of elastic waves in heterogeneous $d$-dimensional rectangular shape domains. The method allows one to prescribe the displacement as a function of time in a subregion of the…

数值分析 · 数学 2022-12-21 R. Sancho , V. Rey de Pedraza , P. Lafourcade , R. A. Lebensohn , J. Segurado

This paper proposes a new method, in the frequency domain, to define absorbing boundary conditions for general two-dimensional problems. The main feature of the method is that it can obtain boundary conditions from the discretized equations…

经典物理 · 物理学 2015-05-14 Denis Duhamel , Tien-Minh Nguyen

We present a novel immersed boundary method that implements acoustic perturbation theory to model an acoustically levitated droplet. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering…

软凝聚态物质 · 物理学 2024-03-22 Jacqueline B. Sustiel , David G. Grier

As is known that wave equations have physically very important properties which should be respected by numerical schemes in order to predict correctly the solution over a long time period. In this paper, the long-time behaviour of momentum…

数值分析 · 数学 2018-07-25 Bin Wang , Xinyuan Wu

A numerical method is described for studying how elastic waves interact with imperfect contacts such as fractures or glue layers existing between elastic solids. These contacts have been classicaly modeled by interfaces, using a simple…

经典物理 · 物理学 2016-08-16 Bruno Lombard , Joël Piraux

An efficient, iterative semi-implicit (SI) numerical method for the time integration of stiff wave systems is presented. Physics-based assumptions are used to derive a convergent iterative formulation of the SI scheme which enables the…

计算物理 · 物理学 2008-07-02 N. F. Loureiro , G. W. Hammett

Steady-state and transient antiplane dynamic processes in a structured solids consisting of uniform periodic square-cell lattices connected by a lattice layer of different bond stiffnesses and point masses are analyzed. A semi-infinite…

材料科学 · 物理学 2011-12-12 Grigory Osharovich , Mark Ayzenberg-Stepanenko

We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based…

材料科学 · 物理学 2015-11-11 Un-Son Ri , Un-Gyong An , Song-Jin Im

We develop a semi-implicit algorithm for time-accurate simulation of the compressible Navier-Stokes equations, with special reference to wall-bounded flows. The method is based on linearization of the partial convective fluxes associated…

流体动力学 · 物理学 2016-08-31 Davide Modesti , Sergio Pirozzoli