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NURBS-based shape parametrization enabling PGD-based space separability: Methodology and application
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DOI：10.1016/j.finel.2023.104022.png)
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摘要
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In the context of MOR techniques for parametrized PDEs, a novel computational method relying on NURBS-based geometric mappings and PGD-based space separated representations has recently been developed. Such approach has opened new perspectives to classical PGD formulations. In particular, it has extended the use of the PGD to complex non-separable an non-simply-connected domains. Moreover, the domain is approximated through NURBS-based shape functions whose control points are treated as problem extra coordinates into the PGD constructor, allowing the efficient computation of geometrically parametrized solutions. The aim of this paper is to suggest the use of the coupled NURBS-PGD method to solve a variety of engineering problems characterized by evolving domains and parametric shapes. Special attention is addressed to inverse identification and shape optimization.
Keyword:
PDEs
MOR
NURBS
PGD
Parametric shapes
Shape optimization
Inverse geometry
Unconfined seepage
Free-surface flows
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