Efficient boundary integral solution for acoustic wave scattering by irregular surfaces. (October 2017)

• Record Type: Journal Article
• Authors: Rath Spivack, Orsola; Spivack, Mark
• Is Part Of: Engineering analysis with boundary elements. Volume 83(2017)
• Page Start: 275
• Page End: 280
• Publication Date: 2017-10
• Subjects: Rough surface -- Acoustic wave scattering -- Helmholtz integral equation -- Operator splitting; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.07.024
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The left–right operator splitting method is studied for the efficient calculation of acoustic fields scattered by arbitrary rough surfaces. Here, the governing boundary integral is written as a sum of left- and right-going components, and the solution expressed as an iterative series, expanding about the predominant direction of propagation. Calculation of each term is computationally inexpensive both in time and memory, and the field is often accurately captured using one or two terms. The convergence and accuracy are examined by comparison with exact solution for smaller problems, and a series of much larger problems are tackled. The method is also immediately applicable to other scatterers such as waveguides, of which examples are given.