Analysis-suitable parameterization for isogeometric analysis: Isotropic/anisotropic methods and their applications
Date:日期：
Workshop talk研讨会报告 at ，China Graphics Society 2023 “Fenfa Tuqiang” Doctoral Student Workshop (2023 年度中国图学学会“奋发图强”博士生 workshop), Online
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