The present paper intends to couple the Fast Multipole Method (FMM) with the Boundary Element Method (BEM) in the analysis of the scattering of plane sound waves from an infinite cylinder in a fluid. The cylinder is modeled as fluid-like, i.e. it is not capable to support shear waves. A governing integral equation is derived from the Helmholtz differential equation for both the fluid and the scatterer. Such an equation is discretised and solved by using the fast multipole approach in order to speed up the CPU time. The final procedure turns out to be much faster if compared to the conventional approach. An iterative solver is adopted in order to improve the overall computational effciency.
Fast Multipole Boundary Element Method (FMBEM) for acoustic scattering in coupled fluid-fluidlike problems
MALLARDO, Vincenzo;ALESSANDRI, Claudio;
2010
Abstract
The present paper intends to couple the Fast Multipole Method (FMM) with the Boundary Element Method (BEM) in the analysis of the scattering of plane sound waves from an infinite cylinder in a fluid. The cylinder is modeled as fluid-like, i.e. it is not capable to support shear waves. A governing integral equation is derived from the Helmholtz differential equation for both the fluid and the scatterer. Such an equation is discretised and solved by using the fast multipole approach in order to speed up the CPU time. The final procedure turns out to be much faster if compared to the conventional approach. An iterative solver is adopted in order to improve the overall computational effciency.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
