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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

We study the effects of weak viscosity on shock formation in 1D hyperbolic conservation laws. Given an inviscid solution that forms a nondegenerate shock, we add a small viscous regularization and study the limit as the viscosity vanishes.…

偏微分方程分析 · 数学 2025-06-23 John Anderson , Sanchit Chaturvedi , Cole Graham

The artificial viscosity is reconsidered in smoothed particle hydrodynamics to prevent inter-particle penetration, unwanted heating, and unphysical solutions. The coefficients in the Monaghan's standard artificial viscosity are considered…

天体物理学 · 物理学 2009-06-23 M. Nejad-Asghar , A. R. Khesali , J. Soltani

We present a statistical analysis of the acoustic emissions induced by dislocation motion during the creep of ice single crystals. The recorded acoustic waves provide an indirect measure of the inelastic energy dissipated during dislocation…

In shockwave theory, the density, velocity and pressure jumps are derived from the conservation equations. Here, we address the physics of a weak shock the other way around. We first show that the density profile of a weak shockwave in a…

等离子体物理 · 物理学 2023-06-22 Antoine Bret , Ramesh Narayan

A modification of Mott-Smith method for predicting the one-dimensional shock wave solution is presented. Mott-Smith distribution function is used to construct the system of moment equations to study the steady-state structure of shock wave…

流体动力学 · 物理学 2011-01-04 Maxim A. Solovchuk , Tony W. H. Sheu

The effect of viscosity and thermal conduction on the acoustics in a shear layer above an impedance wall is investigated numerically and asymptotically by solving the compressible linearised Navier-Stokes equations. It is found that…

流体动力学 · 物理学 2016-12-06 Doran Khamis , Edward James Brambley

We study the stability and structure of shock formation in 1D hyperbolic conservation laws. We show that shock formation is stable near shocking simple waves: perturbations form a shock nearby in spacetime. We also characterize the boundary…

偏微分方程分析 · 数学 2025-06-23 John Anderson , Sanchit Chaturvedi , Cole Graham

The exact solutions for MHD shock waves in an ideal gas are obtained taking into consideration only the viscosity of the gas. In view of an axial magnetic field, the analytical expressions for the particle velocity, temperature, pressure…

高能天体物理现象 · 物理学 2013-06-10 R. K. Anand , H. C. Yadav

A roughly constant temperature over a wide range of densities is maintained in molecular clouds through radiative heating and cooling. An isothermal equation of state is therefore frequently employed in molecular cloud simulations. However,…

天体物理学 · 物理学 2009-11-11 G. Pavlovski , M. D. Smith , M. -M. Mac Low

Brenner has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range. These modifications relate to a diffusion of fluid volume…

流体动力学 · 物理学 2009-11-13 Christopher J. Greenshields , Jason M. Reese

The formation of unmagnetized electrostatic shock-like structures with a high Mach number is examined with one- and two-dimensional particle-in-cell (PIC) simulations. The structures are generated through the collision of two identical…

等离子体物理 · 物理学 2015-06-17 Mark E Dieckmann , Gianluca Sarri , Domenico Doria , Martin Pohl , Marco Borghesi

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 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

By a combination of asymptotic ODE estimates and numerical Evans function calculations, we establish stability of viscous shock solutions of the isentropic compressible Navier--Stokes equations with $\gamma$-law pressure (i) in the limit as…

偏微分方程分析 · 数学 2017-06-09 Jeffrey Humpherys , Olivier Laffite , Kevin Zumbrun

The physical processes involved in the advective-acoustic instability are investigated with 2D numerical simulations. Simple toy models, developped in a companion paper, are used to describe the coupling between acoustic and…

天体物理学 · 物理学 2011-02-11 Jun'ichi Sato , Thierry Foglizzo , Sebastien Fromang

We study the propagation of anisotropic sound and shock waves in dipolar Bose-Einstein condensate in three dimensions (3D) as well as in quasi-two (2D, disk shape) and quasi-one (1D, cigar shape) dimensions using the mean-field approach. In…

量子气体 · 物理学 2012-01-13 P. Muruganandam , S. K. Adhikari

In the application of high frequency acoustic flow measurement, viscothermal dissipation and asymmetric acoustic modes cannot be overlooked. Present paper mathematically formulates asymmetric linear disturbance dynamics in terms of velocity…

流体动力学 · 物理学 2018-04-24 Yong Chen , Bo Yuan , Xiaoqian Chen , Lei Qi

Two aspects of a widely used 1D model of blood flow in a single blood vessel are studied by symmetry analysis, where the variables in the model are the blood pressure and the cross-section area of the blood vessel. As one main result, all…

流体动力学 · 物理学 2023-06-12 Stephen C. Anco , Almudena P. Marquez , Tamara M. Garrido , Maria L. Gandarias

We analyze the shock formation process for the 3d non-isentropic Euler equations with the ideal gas law, in which sounds waves interact with entropy waves to produce vorticity. Building on our theory for isentropic flows in [3,4], we give a…

偏微分方程分析 · 数学 2020-06-29 Tristan Buckmaster , Steve Shkoller , Vlad Vicol
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