Numerical modeling of nonlinear acoustic waves in a tube connected with Helmholtz resonators

DOI10.1016/j.jcp.2013.11.036zbMath1349.74362arXiv1307.3373OpenAlexW2069450304MaRDI QIDQ348717

Bruno Lombard, Jean-François Mercier

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3373

zbMATH Keywords

fractional derivativesBurgers equationsolitonsnonlinear acousticsshock-capturing schemesdiffusive representationtime splitting

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Hydro- and aero-acoustics (76Q05) Solitary waves in solid mechanics (74J35)

Related Items (8)

New explicit and accelerated techniques for solving fractional order differential equations ⋮ Decay of solutions to a water wave model with a nonlocal viscous term ⋮ A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators ⋮ Generation of acoustic solitary waves in a lattice of Helmholtz resonators ⋮ Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields ⋮ Analysis of a Sugimoto Model of Nonlinear Acoustics in an Array of Helmholtz Resonators ⋮ Diffusive Approximation of a Time-Fractional Burger's Equation in Nonlinear Acoustics ⋮ Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations

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