期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 32, 期 2, 页码 359-402出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202522500099
关键词
Geometric defeaturing; a posteriori error estimation; isogeometric analysis
资金
- European Research Council, via the ERC AdG Project CHANGE [694515]
- Swiss National Science Foundation via the Project HOGAEMS [200021 188589]
- Swiss National Science Foundation (SNF) [200021_188589] Funding Source: Swiss National Science Foundation (SNF)
Defeaturing involves simplifying models by removing irrelevant geometric features for simulation, enabling faster simulations and simplifying meshing. Quantitatively evaluating the impact of defeaturing is currently challenging.
Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster simulations for engineering analysis problems, and simplifies the meshing problem that is otherwise often unfeasible. The effects of defeaturing on the analysis are then neglected and as of today, there are basically very few strategies to quantitatively evaluate such an impact. Understanding well the effects of this process is an important step for automatic integration of design and analysis. We formalize the process of defeaturing by understanding its effect on the solution of Poisson equation defined on the geometrical model of interest containing a single feature, with Neumann boundary conditions on the feature itself. We derive an a posteriori estimator of the energy error between the solutions of the exact and the defeatured geometries in R-n, n is an element of {2, 3}, that is simple, reliable and efficient up to oscillations. The dependence of the estimator upon the size of the features is explicit.
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