Daniel Costa Sales, M.Sc.

The main goal is to examine the use of Model Order Reduction (MOR) techniques to accelerate acoustic metamaterial simulations including viscous and thermal losses effects. This should be achieved by:

• Incorporating viscous and thermal losses as an impedance-like boundary condition within a numerical solution of acoustic wave equation by the finite element method.
• Solving the full linearized Navier-Stokes equations numerically by the boundary element method.
• Examining various reduced basis approaches for minimizing the complexity of the acoustic mode, including Krylov subspace methods and novel modal decomposition.
• Investigating whether the algebraic structures emerging from periodicity can be exploited for an efficient simulation of finite metamaterials.
• Validating the developed approaches on subwavelength metamaterial applications, arising from acoustic absorbers for buildings and sound barriers.