Enhanced coupled mechanical‐acoustic field computations on nonmatching grids

Abstract

In this work we extend our research on nonmatching finite element grids, as used in the analysis of coupled mechanical‐acoustic systems, from standard (bi‐)linear grids to higher order Lagrangian grids. In practical applications, such as the simulation of thin membranes, the use of higher order finite elements is often advantageous to prevent locking effects. For the comparison of the radiated sound from a loudspeaker with measurements an acoustic propagation domain is required which is very large in relation to the size of the speaker. To keep the number of unknowns in this domain low the discretization should be chosen as coarse as possible without becoming susceptible to numerical dispersion. Due to the same reason it is also desirable to use a uniform discretization and to be able to adjust the approximation order. To gain more flexibility, we introduce a nonmatching interface between the subdomains and discretize them independently, both in space and approximation order. Our enhanced scheme applies t...