Past Event: Oden Institute Seminar

Isogeometric Analysis of Fluids and Fluid-Structure Interaction

Dr. Yuri Bazilevs, ICES Postdoctoral Fellow

Abstract

Recently, Isogeometric Analysis has emerged as a new computational technology and as an alternative to the standard finite element method. Isogeometric analysis improves upon finite elements in the areas of geometric modeling and solution representation. The first instantiation of isogeometric analysis was based upon non-Uniform Rational B-Splines NURBS), although other alternatives, such as subdivision and T-Splines, are possible and are currently under investigation. Despite its recent emergence, NURBS-based isogeometric analysis has already been applied to many areas of contemporary interest in computational mechanics. These include: fluids and turbulence, solids and thin structures, fluid-structure interaction and, recently, phase-field modeling. Improved geometry and solution approximation properties of NURBS functions has led to superior performance of the isogeometric approach in comparison to standard finite elements in these applications. This presentation focuses on application of isogeometric analysis to wall-bounded turbulent flows, flows about rotating components, and vascular fluid-structure interaction. Basic ideas on how to develop discrete formulations that yield accurate and stable solutions for these applications are presented. Implementation of these ideas within a NURBS-based, largescale computational framework is discussed and computations that demonstrate good performance of the proposed methodology are shown.