Acoustic scattering from a one-dimensional array; Tail-end asymptotics for efficient evaluation of the quasi-periodic Green’s function
| Autor: | Victoria Andrew, Georgia M. Lynott, I. David Abrahams, Raphaël C. Assier, Michael J. Simon, William J. Parnell |
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| Přispěvatelé: | Assier, RC [0000-0001-9848-3482], Apollo - University of Cambridge Repository |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Truncation Scattering Applied Mathematics Mathematical analysis General Physics and Astronomy Quasi-periodic Green's functions Acoustics Function (mathematics) 01 natural sciences 010305 fluids & plasmas Computational Mathematics symbols.namesake Reflection (mathematics) Modeling and Simulation Green's function 0103 physical sciences Convergence (routing) symbols Asymptotic expansion Arrays 010301 acoustics Boundary element method |
| Zdroj: | Wave Motion. 89:232-244 |
| ISSN: | 0165-2125 |
| Popis: | © 2019 The Authors 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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