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Journal Articles Engineering with Computers Year : 2021

Fast Quadtree/Octree adaptive meshing and re-meshing with linear mixed elements

Abstract

In this paper, we will focus on adaptive meshing and re-meshing. We present an original approach, based on Quadtree and Octree, to construct the initial mesh and refine it using mixed-elements. We propose a fast algorithm using a determined set of Patterns to handle transitions between fine and coarse regions, and to closely approximate surface boundaries. An optimized structure for storing edges permits to efficiently manage neighbor information, dramatically reducing the balancing time. Results, both in 2D and 3D, exhibit the multiple possibilities for local refinements. Comparisons in terms of accuracy, number of elements in the resulting mesh, and computation time, clearly position our method as a competitive alternative to generate a conform adapted mesh, which can be used with standard numerical methods.
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Dates and versions

hal-03161623 , version 1 (04-05-2022)

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Fabrice Jaillet, Claudio Lobos. Fast Quadtree/Octree adaptive meshing and re-meshing with linear mixed elements. Engineering with Computers, 2021, ⟨10.1007/s00366-021-01330-w⟩. ⟨hal-03161623⟩
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