Advantages of spline-based interfaces for fluid-structure interaction in balloon-type problems

Abstract

Inflating Balloon-type problems are characterized by two numerical challenges: First, a deviation of the geometry, e.g., caused by discretization, can have a dramatic influence on the numerical result. Second, the composition of the boundary by an inflow and a moving but impermeable wall typically results in a problem with Dirichlet boundaries only. This leads to difficulties for partitioned fluid-structure interaction approaches , if incompressible fluids are involved. In the presented work, the first problem is handled by using a geometrically matching interface based on Non-Uniform Rational B-Spline (NURBS) interface On the solid side a shell model is solved with isogeometric analysis (IGA) Following the idea of the NURBS-enhanced finite element method [3], the spline-based interface is considered on the fluid side only at the boundary. The second problem is treated by enforcing the coupling condition at the interface through a Robin-Neumann-type coupling scheme. The accuracy of the partitioned FSI approach is demonstrated with two-and three-dimensional benchmark problems.

Authors 3

1. Michael Karl Petronella Make Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems, Center for Simulation and Data Science (JARA-CSD), RWTH Aachen University, Schinkelstrasse 2, 52062 Aachen, Germany

2. Thomas Spenke Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems, Center for Simulation and Data Science (JARA-CSD), RWTH Aachen University, Schinkelstrasse 2, 52062 Aachen, Germany

3. Norbert Hosters Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems, Center for Simulation and Data Science (JARA-CSD), RWTH Aachen University, Schinkelstrasse 2, 52062 Aachen, Germany