Efficient Numerical Optimization for Acoustics with Viscous and Thermal Losses and its Application to Acoustic Micro-Devices

Mikkel Paltorp Schmitt

Viscous and thermal acoustic losses are relevant in the close vicinity of boundaries and determine the behavior of small acoustic devices such as hearing aids, microphones and metamaterials. Current numerical techniques are based on the full-linearized Navier-Stokes equations, which govern the motion of real fluids with viscosity and thermal conduction. Recent research at ACT and CAMM is focusing on a version of the Boundary Element Method (BEM) that includes these effects.

This project aims at resolving the computational bottlenecks in the current lossy formulation. It is expected that one, or more, of the following will be key components in this

• Applying of model reduction techniques (The Fast Multipole Method and Hierarchical matrices).
• Developing an efficient three-dimensional formulation.
• Improving algorithmic implementation.

Furthermore, the project is part of an on-going collaboration with the Technical University of Munich (TUM) where another PhD is working on complementary project. Monthly meetings with the partners are held and stays at the partner institution planned.

A more streamlined and efficient numerical formulation will make it possible to attack a wider range of large problems than previously possible. The main applications will focus on micro-devices and optimization of structures where the viscous and thermal losses are relevant.

The project will be completed in 2023

Supervisor(-s): Vicente Cutanda Henriquez (DTU Electrical Engineering) & Niels Aage (DTU Mechanical Engineering),


Mikkel Paltorp Schmitt
PhD student
DTU Electro