A strategy to interface isogeometric analysis with Lagrangian finite elements - application to fluid-structure interaction problems

TL;DR

This paper presents a novel interface strategy combining isogeometric analysis with Lagrangian finite elements to improve fluid-structure interaction simulations, allowing different discretization methods within a unified framework.

Contribution

It introduces an isogeometrically enriched finite element approach for FSI problems, enabling the coupling of IGA and classical Lagrangian elements within a monolithic solution framework.

Findings

Enhanced accuracy in FSI simulations with isogeometric enrichment.

Effective coupling of IGA and Lagrangian finite elements.

Validation against benchmark problems shows improved solution quality.

Abstract

Isogeometrically enriched finite elements offer efficient localized isogeometric analysis (IGA) enrichment for numerical simulations involving large computational domains. This is achieved by employing surface enriched elements to interface isogeometric elements with classical Langrangian finite elements. In this paper, we explore their applicability and merits for fluid-structure interaction (FSI) analysis. The implemented approach not only offers an enrichment of the finite element space, but also offers a framework for discretizing and analyzing fluid and structure with different finite element approaches, namely, classical Lagrange finite elements and IGA. In this context, a monolithic solution approach with an explicit grid update mechanism is implemented for FSI. The applicability and the impact of the isogeometric enrichment approach on the accuracy of the numerical solution is assessed by comparing the obtained results with existing reference solutions of FSI benchmark examples involving two- and three-dimensional incompressible fluid flow past hyper-elastic solids.