Integrating CAD and Numerical Analysis: 'Dirty Geometry' handling using the Finite Cell Method
arXiv:1810.02620 · doi:10.1016/j.cma.2019.04.017
Abstract
This paper proposes a computational methodology for the integration of Computer Aided Design (CAD) and the Finite Cell Method (FCM) for models with "dirty geometries". FCM, being a fictitious domain approach based on higher order finite elements, embeds the physical model into a fictitious domain, which can be discretized without having to take into account the boundary of the physical domain. The true geometry is captured by a precise numerical integration of elements cut by the boundary. Thus, an effective Point Membership Classification algorithm that determines the inside-outside state of an integration point with respect to the physical domain is a core operation in FCM. To treat also "dirty geometries", i.e. imprecise or flawed geometric models, a combination of a segment-triangle intersection algorithm and a flood fill algorithm being insensitive to most CAD model flaws is proposed to identify the affiliation of the integration points. The present method thus allows direct computations on geometrically and topologically flawed models. The potential and merit for practical applications of the proposed method is demonstrated by several numerical examples.
arXiv commentAccepted Manuscript
References in corpus (2)
Cited by in corpus (6)
- Image-based material characterization of complex microarchitectured additively manufactured structures
- Direct structural analysis of domains defined by point clouds
- Coupling of non-conforming trimmed isogeometric Kirchhoff-Love shells via a projected super-penalty approach
- The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
- Finite Cell Method for functionally graded materials based on V-models and homogenized microstructures
- Two-scale analysis and design of spaceframes with complex additive manufactured nodes