Efficient modeling of multimode guided acoustic wave propagation in deformed pipelines by hierarchical model reduction

Abstract

The finite element based Hierarchical Model (HiMod) reduction technique is here applied, for the first time, to model guided acoustic wave propagation in deformed pipelines in a linear regime. This method proves to be extremely efficient to discretize the linearized Helmholtz equation for acoustic waves, since it allows us to speed up the computational time by orders of magnitude with respect to a standard 3D finite element solution.