Topology optimization for acoustic structures considering the boundary layer effects

Abstract

In this research, we present a level set-based topology optimization method for acoustic structures considering the boundary layer effects. It is widely known that acoustic waves propagating through narrow channels are affected by the viscous and thermal boundary layers. To consider such effects, we introduce a sequential linear Navier-Stokes (SLNS) model. First, the SLNS model is briefly introduced. Next, an optimization problem is formulated, where we set the absorption coefficient as an objective function. Based on the concept of the topological derivative and adjoint variable method, we derived a design sensitivity. A two-dimensional numerical example is provided, which supports the validity of the proposed method.