h- and r- adaptation on simplicial meshes using MMG tools

2021/09/17 by Luca Arpaia, Héloïse Beaugendre, Arpaia, Luca +11
Engineering · #3D Shape Modeling and Analysis #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2109.08451

openalex publication_date 2021/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review some recent work on the enhancement and application of both r- and h- adaptation techniques, benefitting of the functionalities of the remeshing platform Mmg: www.mmgtools.org. Several contributions revolve around the level-set adaptation capabilities of the platform. These have been used to identify complex surfaces and then to either produce conformal 3D meshes, or to define a metric allowing to perform h-adaptation and control geometrical errors in the context of immersed boundary flow simulations. The performance of the recent distributed memory parallel implementation ParMmg is also discussed. In a similar spirit, we propose some improvements of r-adaptation methods to handle embedded fronts.

Related

• Adaptive coupling of 3D and 2D fluid flow models
• Non-Conforming Mesh Refinement for High-Order Finite Elements
• G-Adaptivity: optimised graph-based mesh relocation for finite element methods
• HypeR Adaptivity: Joint hr-Adaptive Meshing via Hypergraph Multi-Agent Deep Reinforcement Learning
• Adaptive Consistency for Mimetic Finite Differences