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TLM model of waves in moving media

✍ Scribed by William J. O'Connor

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
98 KB
Volume
15
Category
Article
ISSN
0894-3370

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✦ Synopsis

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____y~xx~=0 has an extra, cross derivative term. An original solution method based on transmission line matrix (TLM) modelling is presented. By means of supplementary link lines controlled by notional ‘diodes’ the TLM mesh wave propagation characteristics are directionally biased. The algorithm is derived and performance assessed for the one‐dimensional case. Numerical results agree closely with analytical solutions. The algorithm has interesting properties promising new application areas for TLM. Copyright © 2002 John Wiley & Sons, Ltd.

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