Isogeometric fluid-structure interaction using a mixed continuous/discontinuous Galerkin scheme

TL;DR

This paper introduces a novel mixed continuous/discontinuous Galerkin scheme within an isogeometric analysis framework for fluid-structure interaction, enabling exact displacement transfer and flexible discretizations, demonstrated on flow around elastic structures.

Contribution

It presents a new mixed Galerkin scheme leveraging NURBS basis functions for accurate fluid-structure interaction simulations with exact displacement transfer.

Findings

Accurate simulation of flow around an elastic wing membrane.

Successful application to flow around a cylinder with hyper-elastic bar.

Results compare favorably with existing literature.

Abstract

A mixed continuous / discontinuous Galerkin scheme is introduced for the simulation of fluid-structure interaction problems in an isogeometric analysis framework. The properties of Non-Uniform Rational B-Spline basis functions are leveraged to enable an exact transfer of the structural displacement to the fluid domain, while using different discretizations and refinements on the two sides of the coupling interface. The proposed approach is applied to the simulation of a compressible flow around an elastic wing membrane and to a classical fluid-structure benchmark involving the flow around a cylinder equipped with a hyper-elastic bar. For both cases, the results obtained are compared to those found in the literature to assess the accuracy of the proposed method.