A numerical comparison of the Westervelt equation with viscous attenuation and a causal propagation operator

DOI10.1016/J.MATCOM.2010.05.017zbMath1348.76134OpenAlexW1982801969MaRDI QIDQ446044

Robert D. Purrington, Guy V. Norton

Publication date: 28 August 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.05.017

zbMATH Keywords

time domaindispersionfinite differencefinite amplitude

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Finite difference methods applied to problems in fluid mechanics (76M20) Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Physiological flow (92C35)

Related Items (3)

The Westervelt equation with a causal propagation operator coupled to the bioheat equation ⋮ On the propagation of nonlinear acoustic waves in viscous and thermoviscous fluids ⋮ NONLINEAR PROPAGATION OF SOUND EMITTED BY HIGH SPEED WAVE PACKETS

Cites Work

• Unnamed Item
• Finite-difference time-domain simulation of acoustic propagation in dispersive medium: an application to bubble clouds in the ocean
• Time domain modeling of pulse propagation in non-isotropic dispersive media
• Comparison of homogeneous and heterogeneous modeling of transient scattering from dispersive media directly in the time domain
• A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves
• Generalized Burgers equation for plane waves
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• INCLUDING DISPERSION AND ATTENUATION IN TIME DOMAIN MODELING OF PULSE PROPAGATION IN SPATIALLY-VARYING MEDIA
• Finite‐difference time‐domain simulation of acoustic propagation in heterogeneous dispersive medium

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