Efficient partitioning and reordering of conforming virtual element discretizations for large scale Discrete Fracture Network flow parallel solvers

2021/06/18 by Stefano Berrone, Berrone, Stefano, Alice Raeli +1
Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Rock Mechanics and Modeling #cs.NA #math.NA

paper · pdf · doi:10.48550/arxiv.2106.10177

30 pages

arxiv created 2021/06/18 · openalex publication_date 2021/06/18 · arxiv updated 2021/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems. In this paper we discuss and compare several partitioning and reordering strategies, that result to be highly efficient and scalable, overperforming the classical mesh partitioning approach used to partition a conforming mesh among several processes.

Citations

• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs

Related

• Multilevel Graph Partitioning for Three-Dimensional Discrete Fracture Network Flow Simulations
• Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
• Analysis of conforming, non-matching, and polygonal methods for Darcy and advection-diffusion-reaction simulations in discrete fracture networks
• A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes
• Parallel Vertex Approximate Gradient discretization of hybrid dimensional Darcy flow and transport in discrete fracture networks