An analytical and numerical study of the Diaz-Solovchuk-Sheu acoustic model: how does it compare with Blackstock's in approximating the Euler system?

DOI10.1111/SAPM.12721MaRDI QIDQ6590532

P. M. Jordan

Publication date: 21 August 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite difference methodhyperbolic systemsinusoidal inputacoustic signaling problemfinite amplitude model

Mathematics Subject Classification ID

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

Cites Work

• Second-sound beyond Maxwell-Cattaneo: nonlocal effects in hyperbolic heat transfer at the nanoscale
• A conservative numerical scheme for modeling nonlinear acoustic propagation in thermoviscous homogeneous media
• Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy
• A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects
• Full-wave numerical simulation of nonlinear dissipative acoustic standing waves in wind instruments
• Poroacoustic acceleration waves
• Modeling weakly nonlinear acoustic wave propagation
• An Introduction to Nonlinear Partial Differential Equations, Second Edition
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