Analysis-suitable parameterization for isogeometric analysis: Isotropic/anisotropic methods and their applications
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Slides, Photo 1, Photo 2, Conference Link
In the design–analysis–optimization workflow based on isogeometric analysis (IGA), constructing high-quality, analysis-suitable parameterizations of the computational domain from the boundary representation of a CAD model is a highly challenging task. In this talk, we introduce two types of isotropic parameterization methods, namely optimization-based and PDE-based techniques for generating high-quality parameterizations. To improve the computational efficiency of the PDE-based parameterization, we propose a preconditioned Anderson acceleration strategy. Our parameterization methods can handle multi-patch parameterizations of high-genus computational domains and are compatible with truncated hierarchical B-splines (THB-splines). Moreover, we apply them to a challenging engineering problem: mesh generation for rotary twin-screw compressors.
Because localized and anisotropic features are widespread in physical phenomena, the aforementioned isotropic parameterization methods fall short in terms of computational efficiency. To remedy this, we introduce a curvature-driven r-adaptive parameterization technique based on a bi-level strategy, which aims to achieve higher numerical accuracy while keeping the number of degrees of freedom constant.
Keywords: Isogeometric Analysis, Analysis-Suitable Parameterization, Preconditioned Anderson Acceleration, r-Adaptivity, Twin-Screw Compressors