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An adiabatic mode Helmholtz equation for 3D underwater sound propagation is developed. The Gaussian beam tracing in this case is constructed. The test calculations are carried out for the crosswedge benchmark and proved an excellent…

大气与海洋物理 · 物理学 2016-09-21 M. Yu. Trofimov , A. D. Zakharenko , S. B. Kozitskiy

Nonlinear distortion of infrasonic waves through atmospheres up to thermospheric altitudes govern large-range ground-level observations of explosive noise sources, causing large differences between the near and far field. Propagation…

流体动力学 · 物理学 2024-01-29 Liam J. Tope , Jae Wook Kim , Peter Spence

Oblique propagation of the spin-electron acoustic waves in degenerate magnetized plasmas is considered in terms of quantum kinetics with the separate spin evolution, where the spin-up electrons and the spin-down electrons are considered as…

等离子体物理 · 物理学 2018-04-18 Pavel A. Andreev

A new method for numerical solving of boundary problem for ordinary differential equations with slowly varying coefficients which is aimed at better representation of solutions in the regions of their rapid oscillations or exponential…

计算物理 · 物理学 2007-05-23 V. E. Moiseenko , V. V. Pilipenko

Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here…

经典物理 · 物理学 2014-12-08 Bruno Lombard , Jean-François Mercier , Olivier Richoux

We present a fast spectral Galerkin scheme for the discretization of boundary integral equations arising from two-dimensional Helmholtz transmission problems in multi-layered periodic structures or gratings. Employing suitably parametrized…

数值分析 · 数学 2020-11-06 José Pinto , Rubén Aylwin , Carlos Jerez-Hanckes

The aim of this paper is to model the propagation of slow magnetohydrodynamic (MHD) sausage waves in a thick expanding magnetic flux tube in the context of the quiescent (VAL C) solar atmosphere. The propagation of these waves is found to…

太阳与恒星天体物理 · 物理学 2013-10-23 Anabele-Linda Pardi , Istvan Ballai , Alexandru Marcu , Beniamin Orza

The evolution of acoustic waves can be evaluated in two ways: either as a temporal, or a spatial propagation. Propagating in space provides the considerable advantage of being able to handle dispersion and propagation across interfaces with…

经典物理 · 物理学 2018-06-04 Paul Kinsler

Short wave equations were introduced in connection with the nonlinear reflection of weak shock waves. They also relate to the modulation of a gas-fluid mixture. Khokhlov-Zabolotskaya equation are used to describe the propagation of a…

数学物理 · 物理学 2008-11-25 Xiaoping Xu

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

经典物理 · 物理学 2021-09-15 Farhang Loran , Ali Mostafazadeh

We present the results of analytical modelling of fast-mode magnetohydrodynamic wave propagation near a 2D magnetic null point. We consider both a linear wave and a weak shock and analyse their behaviour in cold and warm plasmas. We apply…

太阳与恒星天体物理 · 物理学 2015-06-05 Andrey N. Afanasyev , Arkadiy M. Uralov

Investigating the sound field in and around ducts is an important topic in acoustics, e.g. when simulating musical instruments or the human vocal tract. In this paper a method that is based on the boundary element method in 3D combined with…

数值分析 · 数学 2022-06-24 Wolfgang Kreuzer

This paper presents a boundary element formulation for the solution of the Mild-Slope equation in wave propagation problems with variable water depth in one direction. Based on the Green's function approximation proposed by Belibassakis…

数值分析 · 数学 2025-02-04 Antonio Cerrato , José A. González , Luis Rodríguez-Temblequer

In these last years, many studies have focalized on the design of reliable underwater acoustic communication systems. However, the ocean acoustic communication channel exhibits strong amplitude and phase fluctuations and the phenomena of…

信号处理 · 电气工程与系统科学 2019-07-16 Yasin Yousif Al-Aboosi , Hussein A. Abdulnabi

In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct width, and current. We show that both global and bounded…

流体动力学 · 物理学 2021-12-08 Semyon Churilov , Yury Stepanyants

We discuss the asymptotic-preserving properties of a hybridizable discontinuous Galerkin method for the Westervelt model of ultrasound waves. More precisely, we show that the proposed method is robust with respect to small values of the…

数值分析 · 数学 2025-03-04 Sergio Gómez , Mostafa Meliani

We investigate the characteristics of magneto-acoustic surface waves propagating at a single density interface, in the presence of an inclined magnetic field. For linear wave propagation, dispersion relation is obtained and analytical…

太阳与恒星天体物理 · 物理学 2018-10-17 E. Vickers , I. Ballai , R. Erdélyi

Weight-adjusted inner products are easily invertible approximations to weighted $L^2$ inner products. These approximations can be paired with a discontinuous Galerkin (DG) discretization to produce a time-domain method for wave propagation…

数值分析 · 数学 2017-12-11 Jesse Chan

This work is concerned with the study of fundamental models from nonlinear acoustics. In Part~I, a hierarchy of nonlinear damped wave equations arising in the description of sound propagation in thermoviscous fluids is deduced. In…

偏微分方程分析 · 数学 2017-08-22 Barbara Kaltenbacher , Mechthild Thalhammer

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It differs significantly from the equations proposed by Szabo. Dispersion and attenuation associated with the…

数学物理 · 物理学 2014-04-01 Andrzej Hanyga