Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

• DOI: 10.1007/s00366-024-01980-6
• Publication Date: 2024-04-29T14:02:38Z
• Authors: Margarita Chasapi; Pablo Antolin; Annalisa Buffa
• Keywords: Isogeometric analysis; Interpolation; Basis function; Basis (linear algebra); Benchmark (surveying); Model order reduction

Abstract This contribution presents a model order reduction framework for real-time efficient solution of trimmed, multi-patch isogeometric Kirchhoff-Love shells. In several scenarios, such as design and shape optimization, multiple simulations need to be performed given set physical or geometrical parameters. step can computationally expensive in particular real world, practical applications. We are interested parameters take advantage the flexibility splines representing complex geometries. this case, operators geometry-dependent generally depend on non-affine way. Moreover, solutions obtained from trimmed domains may vary highly with respect different values Therefore, we employ local reduced basis method based clustering techniques Discrete Empirical Interpolation Method construct affine approximations models. addition, discuss application strategy parametric optimization. Finally, demonstrate performance proposed parameterized shells through benchmark tests meshes including geometry. The approach is accurate achieves significant online computational cost comparison standard method.