3D B-Rep meshing for real-time data-based geometric parametric analysis

This paper presents an effective framework to automatically construct 3D quadrilateral meshes of complicated geometry and arbitrary topology adapted for parametric studies. The input is a triangulation of the solid 3D model’s boundary provided from B-Rep CAD models or scanned geometry. The triangula...

Full description

Saved in:
Bibliographic Details
Published in:Advanced modeling and simulation in engineering sciences 2021-04, Vol.8 (1), p.1-28, Article 8
Main Authors: Maquart, Tristan, Elguedj, Thomas, Gravouil, Anthony, Rochette, Michel
Format: Article
Language:English
Subjects:
3D quadrilateral meshes
Algorithms
Classical and Continuum Physics
Computational Science and Engineering
Data-based models
Decomposition
Engineering
Engineering Sciences
Finite element method
Geometry
Global parameterization
Model testing
Parameterization
Parametric analysis
Parametric geometry
Parametric statistics
Quadrilaterals
Real time
Research Article
Robustness (mathematics)
Standard data
Theoretical and Applied Mechanics
Three dimensional models
Topology
Triangulation
Workflow
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents an effective framework to automatically construct 3D quadrilateral meshes of complicated geometry and arbitrary topology adapted for parametric studies. The input is a triangulation of the solid 3D model’s boundary provided from B-Rep CAD models or scanned geometry. The triangulated mesh is decomposed into a set of cuboids in two steps: pants decomposition and cuboid decomposition. This workflow includes an integration of a geometry-feature-aware pants-to-cuboids decomposition algorithm. This set of cuboids perfectly replicates the input surface topology. Using aligned global parameterization, patches are re-positioned on the surface in a way to achieve low overall distortion, and alignment to principal curvature directions and sharp features. Based on the cuboid decomposition and global parameterization, a 3D quadrilateral mesh is extracted. For different parametric instances with the same topology but different geometries, the MEG-IsoQuad method allows to have the same representation: isotopological meshes holding the same connectivity where each point on a mesh has an analogous one into all other meshes. Faithful 3D numerical charts of parametric geometries are then built using standard data-based techniques. Geometries are then evaluated in real-time. The efficiency and the robustness of the proposed approach are illustrated through a few parametric examples.
ISSN:2213-7467
2213-7467
DOI:10.1186/s40323-021-00194-5