期刊
WAVE MOTION
卷 89, 期 -, 页码 232-244出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2019.01.012
关键词
Acoustics; Scattering; Quasi-periodic Green's functions; Arrays
资金
- EPSRC (UK)
- EPSRC [EP/L018039/1, EP/N013719/1]
- Royal Society (UK)
- EPSRC [EP/N013719/1, EP/L018039/1] Funding Source: UKRI
Motivated by the problem of acoustic plane wave scattering from an infinite periodic array of cylindrical scatterers, we present a new and easily-implemented way of calculating the quasi-periodic Green's function. This approach is based on an asymptotic expansion of the summand in the quasi-periodic Green's function in order to derive a tail-end correction term, allowing for a rapid and accurate approximation of the function. The tail-end approximation is shown to have much better and faster convergence properties than the usual truncation approach and competes very well with state-of-the-art alternative techniques. This method is then combined with a boundary element scheme to calculate the transmission and reflection coefficients associated with arrays of cylinders of different cross-sections and varying aspect ratios. The results are validated against the existing literature and by independent finite element calculations. (C) 2019 The Authors. Published by Elsevier B.V.
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