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We present equivalent conditions and asymptotic models for the diffraction problem of elastic and acoustic waves in a solid medium surrounded by a thin layer of fluid medium. Due to the thinness of the layer with respect to the wavelength,…

数值分析 · 数学 2022-05-16 Victor Péron

The numerical approximation of high-frequency wave propagation in inhomogeneous media is a challenging problem. In particular, computing high-frequency solutions by direct simulations requires several points per wavelength for stability and…

数值分析 · 数学 2017-09-13 Eric T. Chung , Chi Yeung Lam , Jianliang Qian

In this paper the propagation of acoustic plane waves in turbulent, fully developed flow is studied by means of an experimental investigation carried out in a straight, smooth-walled duct.The presence of a coherent perturbation, such as an…

流体动力学 · 物理学 2018-12-31 H. Tiikoja , F. Auriemma , J. Lavrentjev

In this work we review discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heterogeneous media. In particular, we address wave phenomena in…

数值分析 · 数学 2021-11-04 Paola F. Antonietti , Michele Botti , Ilario Mazzieri

The study of sound propagation in a uniform duct having a mean flow has many applications, such as in the design of gas turbines, heating, ventilation and air conditioning ducts, automotive intake and exhaust systems, and in the modeling of…

计算工程、金融与科学 · 计算机科学 2025-03-26 D. Veerababu , Prasanta K. Ghosh

This paper is concerned with developing efficient numerical methods for acoustic wave scattering in random media which can be expressed as random perturbations of homogeneous media. We first analyze the random Helmholtz problem by deriving…

数值分析 · 数学 2014-04-01 Xiaobing Feng , Junshan Lin , Cody Lorton

We prove the unique solvability, passivity/conservativity and some regularity results of two mathematical models for acoustic wave propagation in curved, variable diameter tubular structures of finite length. The first of the models is the…

动力系统 · 数学 2014-05-29 Atte Aalto , Teemu Lukkari , Jarmo Malinen

The problem of propagating nonlinear acoustic waves is considered; the solution to which, both with and without damping, having been obtained to-date starting from the Navier-Stokes-Duhem equations together with the continuity and thermal…

流体动力学 · 物理学 2021-09-29 Markus Scholle

We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Discontinuous Galerkin method. We use a coupled first-order…

计算物理 · 物理学 2019-08-26 Ruichao Ye , Maarten de Hoop , Christopher Petrovitch , Laura Pyrak-Nolte , Lucas Wilcox

Inspired by medical applications of high-intensity ultrasound, we study a coupled elasto-acoustic problem with general acoustic nonlinearities of quadratic type as they arise, for example, in the Westervelt and Kuznetsov equations of…

数值分析 · 数学 2021-08-09 Markus Muhr , Vanja Nikolić , Barbara Wohlmuth

We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. To model sound propagation with and without losses, we use Westervelt's nonlinear wave equation with and without strong damping.…

A theory of the propagation of acoustic waves in a porous medium filled with superfluid solution is developed. The elastic coefficients in the system of equations are expressed in terms of physically measurable quantities. The equations…

软凝聚态物质 · 物理学 2009-11-11 Sh. E. Kekutia , N. D. Chkhaidze

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It is assumed that the relaxation moduli are completely monotonic. The acoustic equation differs significantly…

数学物理 · 物理学 2014-01-31 Andrzej Hanyga

In this paper, we derive a dispersion relation for sound waves in viscous and heat conducting fluids. In particular this dispersion (i.e. variation of speed of sound with frequency) is shown to be of second order of magnitude, w.r.t.…

经典物理 · 物理学 2021-12-01 Azeddine Zaidni , Saad Benjelloun

This paper is a short guideline to the decomposition of a compressible velocity into vortical and compressible structures using standard flow solvers. In particular, this is a fast solution to get an idea of the compressible fields inside…

流体动力学 · 物理学 2023-08-10 Stefan Schoder

The mechanism of acoustic wave propagation in supercooled liquids is not yet fully understood since the vibrational dynamics of supercooled liquids are strongly affected by their amorphous inherent structures. In this paper, the acoustic…

无序系统与神经网络 · 物理学 2012-11-16 Yuki Matsuoka , Hideyuki Mizuno , Ryoichi Yamamoto

Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid / poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot's equations…

经典物理 · 物理学 2012-09-25 Guillaume Chiavassa , Bruno Lombard

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

It is a deceptively simple question to ask how acoustic disturbances propagate in a non--homogeneous flowing fluid. If the fluid is barotropic and inviscid, and the flow is irrotational (though it may have an arbitrary time dependence),…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Matt Visser

This study focuses on the Rijke tube problem, which includes features relevant to the modeling of thermoacoustic coupling in reactive flows: a compact acoustic source, an empirical model for the heat source, and nonlinearities. This…

计算物理 · 物理学 2015-08-21 Taraneh Sayadi , Vincent Le Chenadec , Peter Schmid , Franck Richecoeur , Marc Massot