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TLM model of waves in moving media
Author(s) -
O'Connor William J.
Publication year - 2002
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.451
Subject(s) - transmission line , physics , notional amount , wave propagation , matrix (chemical analysis) , mechanics , acoustics , mathematical analysis , computer science , mathematics , telecommunications , optics , materials science , finance , economics , composite material
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.