Approximate Acoustic Boundary Conditions in the Time-Domain using Volume Penalization

TL;DR

This paper introduces a volume penalization method to approximate acoustic boundary conditions in time-domain simulations, enabling efficient modeling of complex objects and boundary behaviors.

Contribution

It presents a physically motivated Brinkman-based penalization technique to mimic various acoustic boundary conditions within immersed boundary methods.

Findings

Successfully models rigid walls and absorbers

Validates approach across multiple acoustic setups

Demonstrates effectiveness in complex geometries

Abstract

Immersed boundary methods allow describing complex objects on simple Cartesian grids in time-domain simulations. The penalization technique employed here is a physically motivated Brinkman method that models objects as porous material by including a friction term and an effective volume. We investigate how the approach can mimic different acoustic boundary conditions. It is validated concerning different acoustic setups, including rigid walls and various absorber configurations.