Numerical simulation of scattering of acoustic waves by inelastic bodies using hypersingular boundary integral equation
- Moscow State Technical University of Radio Technics, Electronics, and Autumatics, Vernadsky Prospect 78, Moscow, 119454 (Russian Federation)
- Lomonosov Moscow State University, Moscow, 119991 (Russian Federation)
A numerical method for solving a problem of diffraction of acoustic waves by system of solid and thin objects based on the reduction the problem to a boundary integral equation in which the integral is understood in the sense of finite Hadamard value is proposed. To solve this equation we applied piecewise constant approximations and collocation methods numerical scheme. The difference between the constructed scheme and earlier known is in obtaining approximate analytical expressions to appearing system of linear equations coefficients by separating the main part of the kernel integral operator. The proposed numerical scheme is tested on the solution of the model problem of diffraction of an acoustic wave by inelastic sphere.
- OSTI ID:
- 22391082
- Journal Information:
- AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
A spectral boundary integral equation method for the 2D Helmholtz equation
On one numerical scheme of the solution of a three-dimensional problem of diffraction of an electromagnetic wave on thin ideally conductive screens