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We present an explicit finite difference time domain method to solve the lossless Westervelt equation for a moving wave emitting boundary in one dimension and in spherical symmetry. The approach is based on a coordinate transformation…

流体动力学 · 物理学 2022-02-22 Sören Schenke , Fabian Sewerin , Berend van Wachem , Fabian Denner

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

We analyse the non-linear propagation and dissipation of axisymmetric waves in accretion discs using the ZEUS-2D hydrodynamics code. The waves are numerically resolved in the vertical and radial directions. Both vertically isothermal and…

天体物理学 · 物理学 2009-11-07 M. R. Bate , G. I. Ogilvie , S. H. Lubow , J. E. Pringle

We begin with the theoretical study of spectral energy cascade due to the propagation of high amplitude sound in the absence of thermal sources. To this end, a first-principles-based system of governing equations, correct up to second order…

流体动力学 · 物理学 2021-06-24 Prateek Gupta

The formation of thermoacoustic shocks is studied in a fluid complex plasma. The thermoacoustic wave mode can be damped (or anti-damped) when the contribution from the thermoacoustic interaction is lower (or higher) than that due to the…

等离子体物理 · 物理学 2024-11-22 A. P. Misra , G. Banerjee

The transmission lines we consider are constructed from the nonlinear inductors and the nonlinear capacitors. In the first part of the paper we additionally include linear ohmic resistors. Thus, the dissipation being taken into account…

经典物理 · 物理学 2025-12-23 Eugene Kogan

The bubbles involved in sonochemistry and other applications of cavitation oscillate inertially. A correct estimation of the wave attenuation in such bubbly media requires a realistic estimation of the power dissipated by the oscillation of…

流体动力学 · 物理学 2013-02-26 Olivier Louisnard

The focusing of acoustic waves is used to study nucleation phenomena in liquids. At large amplitude, non-linear effects are important so that the magnitude of pressure or density oscillations is difficult to predict. We present a…

软凝聚态物质 · 物理学 2010-05-11 C. Appert , C. Tenaud , X. Chavanne , S. Balibar , F. Caupin , D. d'Humières

The Westervelt equation describes the propagation of pressure waves in continuous nonlinear and, eventually, diffusive media. The classical framework of this equation corresponds to fluid dynamics theory. This work seeks to connect this…

经典物理 · 物理学 2025-03-20 Mariano Caruso , Guillermo Rus , Juan Melchor

We investigate a nonlinear multiphysics model motivated by ultrasound-enhanced drug delivery. The acoustic pressure field is modeled by Westervelt's quasilinear wave equation to adequately capture the nonlinear effects in ultrasound…

偏微分方程分析 · 数学 2024-12-11 Julio Careaga , Vanja Nikolić , Belkacem Said-Houari

We investigate the mechanism of whistler-mode wave generation by shock-reflected electrons at quasi-perpendicular collisionless shocks. By employing Liouville mapping to construct the electron velocity distribution function in the shock and…

等离子体物理 · 物理学 2026-03-20 Ruolin Wang , Takanobu Amano

This article presents the experimental characterization of nonreciprocal elastic wave transmission in a single-mode elastic waveguide. This asymmetric system is obtained by coupling a selection layer with a conversion layer: the selection…

经典物理 · 物理学 2015-12-09 Thibaut Devaux , Vincent Tournat , Olivier Richoux , Vincent Pagneux

We derive a nonlinear acoustic wave propagation model for analysing the thermoviscous dissipation in narrow pores with wavy walls. As the nonlinear waves propagate in the thermoviscous pores, the wave-steepening effect competes with the…

流体动力学 · 物理学 2024-02-19 Krishna Sahithi , Prateek Gupta

The shock wave structure in a one-dimensional lattice (e.g. granular chain) with a power law dependence of force on displacement between particles with viscous dissipation is considered and compared to the corresponding long wave…

软凝聚态物质 · 物理学 2015-06-25 E. B. Herbold , V. F. Nesterenko

We consider an undetermined coefficient inverse problem for a nonlinear partial differential equation describing high intensity ultrasound propagation as widely used in medical imaging and therapy. The usual nonlinear term in the standard…

数值分析 · 数学 2022-04-13 Barbara Kaltenbacher , William Rundell

We study electrical excitation of nonlinear plasma waves in heterostructures with two-dimensional electron channels and with split gates, and the propagation of these waves using hydrodynamic equations for electron transport coupled with…

介观与纳米尺度物理 · 物理学 2009-11-13 E. Vostrikova , A. Ivanov , I. Semenikhin , V. Ryzhii

The dispersing equation was derived from system of the hydrodynamic equations that take into account the gravity, and from boundary conditions of shock front. The dispersing equation made it possible to study unstable stability of front not…

等离子体物理 · 物理学 2010-05-21 V. V. Lyahov , V. M. Neshchadim

Efficient time integration methods based on operator splitting are introduced for the Westervelt equation, a nonlinear damped wave equation that arises in nonlinear acoustics as mathematical model for the propagation of sound waves in high…

数值分析 · 数学 2013-11-07 Barbara Kaltenbacher , Vanja Nikolic , Mechthild Thalhammer

Diffusive acceleration at collisionless shock waves remains one of the most promising acceleration mechanisms for the description of the origin of cosmic rays at all energies. A crucial ingredient to be taken into account is the reaction of…

天体物理学 · 物理学 2009-11-13 Elena Amato , Pasquale Blasi

Nonlinear acoustic evolution is often discussed in the context of wave-steepening that leads to shock formation, and is of special interest in applications where the shock continues to strengthen due to a narrowing of its channel or the…

流体动力学 · 物理学 2023-12-27 Tamar Faran , Christopher D. Matzner , Eliot Quataert
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