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Thermoacoustic instabilities in gas turbines and aeroengine combustors falls within the category of complex systems. They can be described phenomenologically using nonlinear stochastic differential equations, which constitute the grounds…

Fluid Dynamics · Physics 2016-12-09 Edouard Boujo , Alexey Denisov , Bruno Schuermans , Nicolas Noiray

A systematic study of the linear thermal stability of a medium subject to cooling, self-gravity and thermal conduction is carried out for the case when the unperturbed state is subject to global cooling and expansion. A general, recursive…

Astrophysics · Physics 2009-11-07 A. J. Gomez-Pelaez , F. Moreno-Insertis

In ultrasound beamforming, focusing time delays are typically computed with a spatially constant speed-of-sound (SoS) assumption. A mismatch between beamforming and true medium SoS then leads to aberration artifacts. Other imaging…

Image and Video Processing · Electrical Eng. & Systems 2021-09-27 Xenia Augustin , Lin Zhang , Orcun Goksel

Understanding how sound propagates through different media is fundamental to both science and technology. While sound plays a critical role in natural navigation and underlies a wide range of applications - from medical ultrasound to sonar…

Physics Education · Physics 2025-07-30 Helio Takai , Tom Tomaszewski , Jeremy Tomaszewski , Joe Sundermier

We consider the scattering of acoustic waves emitted by an active source above a plane turbulent shear layer. The layer is modeled by a moving random medium with small spatial and temporal fluctuations of its mean velocity, and constant…

Fluid Dynamics · Physics 2020-05-19 Josselin Garnier , Etienne Gay , Éric Savin

Understanding the rich spatial and temporal structures in nonequilibrium thermal environments is a major subject of statistical mechanics. Because universal laws, based on an ensemble of systems, are mute on an individual system, exploring…

Statistical Mechanics · Physics 2019-04-19 Liyi Zhao , Ping Fang , Chushun Tian

An intriguing possibility that can address pathologies in both early universe cosmology (i.e. the horizon problem) and quantum gravity (i.e. non-renormalizability), is that particles at very high energies and/or temperatures could propagate…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-05 Abhineet Agarwal , Niayesh Afshordi

Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in length scales, causing difficulties with meshing and…

Numerical Analysis · Mathematics 2021-11-23 Alex Viguerie , Silvia Bertoluzza , Alessandro Veneziani , Ferdinando Auricchio

Thermal expansion in materials can be accurately modeled with careful anharmonic phonon calculations within density functional theory. However, because of interest in controlling thermal expansion and the time consumed evaluating thermal…

Materials Science · Physics 2017-11-03 Joseph T. Schick , Abhijith M. Gopakumar , Andrew M. Rappe

A generalized kinetic model equation which takes into account the frequency depence of the thermal conductivity is used to analyze the problem of sound propagation in dilute polyatomic gases. By comparing the theoretical results with some…

Fluid Dynamics · Physics 2015-06-15 Sebastian Fischer , Wilson Marques

Speed of sound is a key parameter for the compressibility effects in multiphase flow. We present a new approach to do direct numerical simulations on the speed of sound in compressible two-phase flow, based on the stratified multiphase flow…

Fluid Dynamics · Physics 2018-03-22 Kai Fu , Xiao-Long Deng , Lingjie Jiang

The goal of this research is to derive an approach to assess uncertainty in an arbitrary volume conditioned by sampling data, without using geostatistical simulation. We have accomplished this goal by deriving an numerical tool suitable for…

Methodology · Statistics 2019-07-22 Alvaro I. Riquelme , Julian M. Ortiz

Most measurement methods based on ultrasound, such as sound velocity, absorption or flow measurement systems, require that the acoustic wave propagation is linear. In many cases, linear wave propagation is assumed due to small signal…

Fluid Dynamics · Physics 2020-01-17 Leander Claes , Carolin Steidl , Tim Hetkämper , Bernd Henning

We consider coupled systems of semi-linear wave equations with different sound speeds on a finite time interval $[0,T]$ and a bounded Lipschitz domain $\Omega$ in $\mathbb{R}^3$, with boundary $\partial\Omega$. We show the coupled systems…

Analysis of PDEs · Mathematics 2018-11-02 Alden Waters

Robust spatial audio control relies on accurate acoustic propagation models, yet environmental variations, especially changes in the speed of sound, cause systematic mismatches that degrade performance. Existing methods either assume known…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-13 Andreas Jonas Fuglsig , Mads Græsbøll Christensen , Jesper Rindom Jensen

We study the effect of thermal noise on the propagation speed of a planar flame. We show that this out of equilibrium greatly amplifies the effect of thermal noise to yield macroscopic reductions in the flame speed over what is predicted by…

Fluid Dynamics · Physics 2016-10-26 Hongliang Liu , Jonathan Goodman

This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive…

Numerical Analysis · Mathematics 2025-08-28 Alessandra Aimi , Giulia Di Credico , Heiko Gimperlein , Chiara Guardasoni

Almost all known image reconstruction algorithms for photoacoustic and thermoacoustic tomography assume that the acoustic waves leave the region of interest after a finite time. This assumption is reasonable if the reflections from the…

Analysis of PDEs · Mathematics 2015-06-16 L. Kunyansky , B. Holman , B. T. Cox

Terahertz Time Domain Spectroscopy (THz-TDS) systems have emerged as mature technologies with significant potential across various research fields and industries. However, the lack of standardized methods for signal and noise estimation and…

Scattering wave systems that are periodically modulated in time offer many new degrees of freedom to control waves both in spatial and frequency domains. Such systems, albeit linear, do not conserve frequency and require the adaptation of…

Applied Physics · Physics 2023-04-25 Matthieu Malléjac , Romain Fleury