Isogeometric analysis-suitable parameterization for complex fluid simulations
Date:
The evolution of engineering design from experience-based practice to numerical strategies has brought the challenges of simulating complex fluid flows within computational domains to the forefront. Isogeometric analysis (IGA) is a key response to these challenges. Generating suitable computational domains is essential not only for laying the groundwork for advanced simulations but also because of its substantial influence on structural design and optimization. This talk will introduce robust parameterization methodologies that meet the demands of complex fluid flow simulations, in particular through the generation of high-quality domain parameterizations from CAD boundary representations. First, we will discuss barrier-type optimization-based methods and PDE-based parameterization techniques, which have proven highly useful in industrial applications such as mesh generation for twin-screw compressors. These methods are incorporated into the Geometry + Simulation Modules (G+Smo) library, underscoring the synergy between geometric design and simulation in isogeometric analysis. Next, the focus will shift to the crucial role of boundary correspondence in capturing the intricacies of fluid dynamics in slender, elongated geometries. A novel application of Schwarz–Christoffel mapping will be presented, illustrating how this conformal mapping can maintain geometric integrity in parameterizations—a key factor in the accurate simulation and optimization of fluid flow.
Keywords: Isogeometric Analysis, Analysis-Suitable Parameterization, NURBS, Fluid Simulations, Schwarz–Christoffel Mapping