Passive Models of Viscothermal Wave Propagation in Acoustic Tubes
Abstract
A continued fraction expansion to the immittances defining viscothermal wave propagation in a
cylindrical tube has been presented recently in this journal, intended as a starting point for time
domain numerical method design. Though the approximation has the great benefit of passivity, or
positive realness under truncation, its convergence is slow leading to approximations of high order
in practice. Other passive structures, when combined with optimisation methods, can lead to good
accuracy over a wide frequency range, and for relatively low order.
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