Quadrilateral multiblock decomposition via auxiliary subdivision

Author:

Sun Liang1ORCID,Armstrong Cecil G1,Robinson Trevor T1,Papadimitrakis Dimitrios1

Affiliation:

1. School of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast BT95AH, UK

Abstract

Abstract Automatic quadrilateral (quad) or hexahedral (hex) multiblock decomposition has been a topic of research for many years. The key challenges are to automatically determine where to place mesh singularities and how to generate a decomposition based on the mesh singularities to get the desired mesh orientation and distribution. In this work, a new idea of achieving these is proposed based on an auxiliary subdivision of the domain into smaller subdomains, followed by applying an equation, which calculates the net number of mesh singularities of a surface, to locate the quad mesh singularities. Under this idea, two different methods are presented based on the medial axis and the inward boundary offset. Both methods are conformal to the vertex classifications of the original domain, which guarantees a good mesh quality at the boundary. The mesh results are compared with a paving method and a cross-field method.

Publisher

Oxford University Press (OUP)

Subject

Computational Mathematics,Computer Graphics and Computer-Aided Design,Human-Computer Interaction,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics

Reference40 articles.

1. Common themes in multi-block structured quad/hex mesh generation;Armstrong;Procedia Engineering,2015

2. Multiblock mesh refinement by adding mesh singularities;Armstrong,2018

3. A comparison of all-hexahedral and all-tetrahedral finite element meshes for elastic and elasto-plastic analysis;Benzley,1995

4. Paving: A new approach to automated quadrilateral mesh generation;Blacker;International Journal for Numerical Methods in Engineering,1991

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