A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves

DOI10.1016/j.jsv.2004.03.067zbMath1236.76039OpenAlexW2003089234MaRDI QIDQ2881849

Christo I. Christov, Pedro M. Jordan

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2004.03.067

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hydro- and aero-acoustics (76Q05)

Related Items (18)

Dissipative acoustic solitons under a weakly-nonlinear, Lagrangian-averaged Euler-\(\alpha\) model of single-phase lossless fluids ⋮ Nonlinear acoustics and shock formation in lossless barotropic Green-Naghdi fluids ⋮ The Westervelt equation with a causal propagation operator coupled to the bioheat equation ⋮ Growth and decay of shock and acceleration waves in a traffic flow model with relaxation ⋮ Nonlinear acceleration waves in porous media ⋮ Anisotropic effects on poroacoustic acceleration waves ⋮ Thermo-poroacoustic acceleration waves in elastic materials with voids ⋮ Poroacoustic acceleration waves ⋮ Acoustic acceleration waves in homentropic Green and Naghdi gases ⋮ Rayleigh waves on an exponentially graded poroelastic half space ⋮ Acoustic waves in a Cattaneo-Christov gas ⋮ A numerical comparison of the Westervelt equation with viscous attenuation and a causal propagation operator ⋮ Growth/decay of transverse acceleration waves in nonlinear elastic media ⋮ Inhomogeneous plane waves in elastic materials with voids ⋮ Acoustic traveling waves in thermoviscous perfect gases: kinks, acceleration waves, and shocks under the Taylor-Lighthill balance ⋮ Thermo-poroacoustic acceleration waves in elastic materials with voids without energy dissipation ⋮ On a model for thermo-poroacoustic waves ⋮ Growth and decay of acoustic acceleration waves in Darcy-type porous media

This page was built for publication: A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves