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We study the propagation of high-amplitude sound waves, in the form of pulse-like solitary waves, in an air-filled acoustic waveguide of periodically varying cross section. Our numerical simulations, solving the compressible Navier-Stokes…

Propagation of acoustic waves in an one-dimensional water duct containing many air filled blocks is studied by the transfer matrix formalism. Energy distribution and interface vibration of the air blocks are computed. For periodic…

凝聚态物理 · 物理学 2009-10-31 Pi-Gang Luan , Zhen Ye

Propagation of high amplitude acoustic pulses is studied in a 1D waveguide connected to a lattice of Helmholtz resonators. An homogenized model has been proposed by Sugimoto (J. Fluid. Mech., \textbf{244} (1992)), taking into account both…

经典物理 · 物理学 2017-04-06 Jean-François Mercier , Bruno Lombard

Acoustic and entropy waves interacting in a duct with a steady heat source and mean flow are analysed using an asymptotic expansion (AE) for low frequencies. The analytical AE solutions are obtained by taking advantage of flow invariants…

流体动力学 · 物理学 2022-07-21 Jiaqi Nan , Jingxuan Li , Aimee S. Morgans , Lizi Qin , Lijun Yang

We use a concept of weak asymptotic solution for homogeneous as well as non-homogeneous fractional advection dispersion type equations. Using Legendre scaling functions as basis, a numerical method based on Galerkin approximation is…

数值分析 · 数学 2015-05-01 Harendra Singh , Manas Ranjan Sahoo , Om Prakash Singh

For acoustic waves in lined ducts, at given frequencies, the dispersion relation leads to a transcendental equation for the wavenumber that has to be solved by numerical methods. Based on Eckart explicit expression initially derived for…

流体动力学 · 物理学 2018-10-17 Maaz Farooqui , Yves Aurégan , Vincent Pagneux

We (re)cosider the propagation of small disturbances (sound waves) in the presence of a pinned irrotational vortex in a superfluid with the help of the formalism of acoustic spacetimes. We give closed formulas for the scattering angle for…

其他凝聚态物理 · 物理学 2015-05-30 Piotr Marecki

We study acoustic propagation in one dimensional water ducts containing many air-filled blocks. The acoustic band structures for the periodic arrangements of the blocks is calculated, whereas the transmission for various random…

凝聚态物理 · 物理学 2015-06-24 Pi-Gang Luan , Zhen Ye

The primary contribution of this paper is to characterize the propagation of acoustic signal carrying information through any medium and the interaction of the travelling acoustic signal with the surrounding medium. We will use the concept…

信号处理 · 电气工程与系统科学 2022-02-15 Indrakshi Dey

Ray mode parabolic equations which are suitable for shallow water acoustics propagation problems are derived by the multiple-scale method.

大气与海洋物理 · 物理学 2014-06-25 M. Yu. Trofimov , A. D. Zakharenko

Numerical simulation of flow problems and wave propagation in heterogeneous media has important applications in many engineering areas. However, numerical solutions on the fine grid are often prohibitively expensive, and multiscale model…

数值分析 · 数学 2019-09-30 Siu Wun Cheung , Eric T. Chung , Wing Tat Leung

The homogenization of one-dimensional acoustic or elastic structures of finite extent is considered. A new homogenization method based on transfer matrices is derived. The new homogenization method may account for variable cross sectional…

流体动力学 · 物理学 2022-03-15 Michael B. Muhlestein , Alexei T. Skvortsov

We study the time-harmonic Galbrun equation describing the propagation of sound in the presence of a steady background flow. With additional rotational and gravitational terms these equations are also fundamental in helio- and…

偏微分方程分析 · 数学 2020-06-16 Martin Halla , Thorsten Hohage

We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations of the mean particle velocity and speed of sound. We more particularly address the regime where the acoustic wavelengths are…

数学物理 · 物理学 2021-09-03 Jean-Luc Akian , Éric Savin

A one-way wave equation is an evolution equation in one of the space directions that describes (approximately) a wave field. The exact wave field is approximated in a high frequency, microlocal sense. Here we derive the pseudodifferential…

偏微分方程分析 · 数学 2007-05-23 Christiaan C. Stolk

We propose the frozen Gaussian approximation for computation of high frequency wave propagation. This method approximates the solution to the wave equation by an integral representation. It provides a highly efficient computational tool…

数值分析 · 数学 2011-03-16 Jianfeng Lu , Xu Yang

Efficient and accurate numerical simulation of seismic wave propagation is important in various Geophysical applications such as seismic full waveform inversion (FWI) problem. However, due to the large size of the physical domain and…

数值分析 · 计算机科学 2019-03-22 Keran Li , Wenyuan Liao , Yaoting Lin

We consider the discretization of a semilinear damped wave equation arising, for instance, in the modeling of gas transport in pipeline networks. For time invariant boundary data, the solutions of the problem are shown to converge…

数值分析 · 数学 2018-12-11 Herbert Egger , Thomas Kugler , Björn Liljegren-Sailer

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

偏微分方程分析 · 数学 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin

An integral formulation for acoustic radiation in moving flows is presented. It is based on a potential formulation for acoustic radiation on weakly non-uniform subsonic mean flows. This work is motivated by the absence of suitable kernels…

流体动力学 · 物理学 2016-09-13 Simone Mancini , R. Jeremy Astley , Samuel Sinayoko , Gwenael Gabard , Michel Tournour