## Abstract Waves in moving media arise in fluid mechanics and elastic mechanics and are especially significant in acoustics. They are characterized by direction‐dependent wave speeds. When compared with the wave equation, the governing differential equation, __y__~__tt__~+__α____y__~__xt__~+__β___
TLM models of waves in moving media: refinements and dispersion analysis
✍ Scribed by William J O'Connor
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 125 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.510
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Two recent papers about transmission line matrix (TLM) models of waves in moving media used notional diodes to achieve the appropriate direction‐dependent wave speeds. Despite the algorithm's demonstrated success, the operation of the diodes might be criticized for being non‐physical from a circuit theory perspective. Alternative circuit models are here developed that avoid this objection, being based on wave two‐ports and standard circuit theory components. Their operation obeys the same numerical algorithm derived using the diodes, thereby confirming the validity of the original computational scheme. Furthermore these circuits lead more easily to the direction‐dependent wave speed expressions and provide exact analytic results for dispersion and attenuation effects, which are here presented and discussed. Copyright © 2003 John Wiley & Sons, Ltd.
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