Boundary Element Methods for Acoustic Wave Propagation
Simulating acoustic wave propagation has important applications in many engineering problems. In this talk, we will consider modelling focused ultrasound techniques used for the non-invasive treatment of liver cancer. This application requires the simulation of high-frequency acoustic waves propagating through soft tissue and scattering at the rib bones. The boundary element method (BEM) is an efficient numerical method to solve the Helmholtz transmission system. We will survey the design of boundary integral equations and preconditioners for the iterative linear solver. The computational results of a benchmarking exercise involving hundreds of different preconditioned formulations uncover the dependencies of BEM’s efficiency on the numerical and physical parameters. Finally, we will consider acoustic transmission at high-contrast media and apply the BEM to resonances of water-entrained air bubbles.
Password: “arizona” (all lower case)