title: Numerical absorbing boundary conditions based on a damped wave equation for pseudospectral time-domain acoustic simulations.
abstract: In the context of wave-like phenomena, Fourier pseudospectral time-domain (PSTD) algorithms are some of the most efficient time-domain numerical methods for engineering applications. One important drawback of these methods is the so-called Gibbs phenomenon. This error can be avoided by using absorbing boundary conditions (ABC) at the end of the simulations. However, there is an important lack of ABC using a PSTD methods on a wave equation. In this paper, we present an ABC model based on a PSTD damped wave equation with an absorption parameter that depends on the position. Some examples of optimum variation profiles are studied analytically and numerically. Finally, the results of this model are also compared to another ABC model based on an hybrid formulation of the scalar perfectly matched layer.
authors.affiliation: Mathematics Department, Universidad Técnica Federico Santa María, 2340000 Valparaíso, Chile.
authors.forename: Carlos
authors.identifier: 0000-0001-9547-5954
authors.initials: C
authors.lastname: Spa
authors.affiliation: Telecommunication Engineering Department, University of Jaén, Linares, 23700 Jaén, Spain.
authors.forename: Pedro
authors.initials: P
authors.lastname: Reche-López
authors.affiliation: Mathematics Department, Universidad Técnica Federico Santa María, 2340000 Valparaíso, Chile.
authors.forename: Erwin
authors.initials: E
authors.lastname: Hernández
mesh_terms: D065638:Absorption, Radiation; D000162:Acoustics; D000465:Algorithms; D003198:Computer Simulation; D004735:Energy Transfer; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D012542:Scattering, Radiation; D013016:Sound; D013018:Sound Spectrography / Q000379:methods*
references.citation: IEEE Trans Ultrason Ferroelectr Freq Control. 2012 Aug;59(8):1664-73
references.pmid: 22899114
references.citation: IEEE Trans Ultrason Ferroelectr Freq Control. 2004 Aug;51(8):964-72
references.pmid: 15344402
references.citation: IEEE Trans Ultrason Ferroelectr Freq Control. 1998;45(4):1044-55
references.pmid: 18244259
references.citation: J Acoust Soc Am. 2010 Oct;128(4):1632-46
references.pmid: 20968336
references.citation: J Acoust Soc Am. 2008 Jun;123(6):4165-73
references.pmid: 18537368