Topology optimization in Bernoulli free boundary problems

TL;DR

This paper presents a topology optimization method for Bernoulli free boundary problems using a pseudo-solid approach and level set parametrization with radial basis functions, enabling topological changes.

Contribution

The work introduces a novel combination of pseudo-solid method and level set representation with radial basis functions for topology optimization in Bernoulli free boundary problems.

Findings

Effective handling of topological changes in design domains.

Application of level set and radial basis functions in free boundary problems.

Demonstrated feasibility of the proposed optimization approach.

Abstract

In this work we consider topology optimization of systems, which are governed by the external Bernoulli free boundary problem. We utilize the so-called pseudo-solid approach to solve the governing free boundary problems during the optimization. To define design domains we utilize a level set representation parameterized by radial basis functions. This design parametrization allows topological changes in the design domain.