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Sound propagation in the time-domain by the Split-Operator technique
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Diogenes Bosquetti
Published/Copyright:
September 25, 2009
Abstract
This work presents a finite-difference scheme to study the scattering of sound in the time-domain. It can be applied to heterogeneous fluids in any dimensionality. The scheme is based on the split-operator technique introduced in quantum mechanics to solve the time-dependent Schrödinger equation. This scheme presents advantages in comparison with the usual finite-difference time-domain algorithms. Its main characteristics are: a) its precision is of the order (Δt)3; b) it can work with non-homogeneous space-discretizations; and c) it satisfies the energy conservation law. Here, the scheme is also applied to solve four simple tests cases in one-dimensional space.
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Received: 2004-July-12
Accepted: 2005-January-5
Published Online: 2009-9-25
Published in Print: 2005-10-1
© by Oldenbourg Wissenschaftsverlag, München
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- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
