Coupling the BEM/TBEM and the MFS for the numerical simulation of acoustic wave propagation and transient conduction heat transfer

Abstract

The coupling of the Boundary Element Method (BEM) / the Traction Boundary Element Method (TBEM) and the Method of Fundamental Solutions (MFS) is proposed for the transient analysis of acoustic wave propagation problems and conduction heat transfer, thereby overcoming the limitations posed by each method. The full domain is divided into sub-domains which are modeled using the BEM/TBEM and the MFS, and the sub-domains are coupled with the imposition of the adequate boundary conditions. The applicability of the proposed method is shown by simulating the acoustic behavior of a rigid acoustic screen in the vicinity of a dome and by simulating the thermal behavior of a solid ring incorporating a crack in its wall.