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HPC Finite Element Solvers for Phase-Field Models for Fracture in Solids

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Numerical Modeling Strategies for Sustainable Concrete Structures (SSCS 2022)

Part of the book series: RILEM Bookseries ((RILEM,volume 38))

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Abstract

Finite element approximations of phase-field models for fracture are often used to simulate cracking processes in solids and structures. However, non-linearity, the requirement of extremely fine meshing, and/or large-scale simulations make numerical crack prediction a tedious task with this family of models. Such problems demand enormous computational resources. Under a sequential computing framework, these lead to extremely slow computations with non-feasible computer processing times. As a remedy, domain decomposition approaches that facilitate parallel computing can subdue these issues and significantly decrease computational time and memory. This contribution discusses and compares two ways of setting up domain decomposition for phase-field models under a distributed computing framework. Notably, in the context of parallel computing, a monolithic strategy set up via the vectorial finite elements is compared to a staggered finite element strategy for a hybrid phase-field model. A detailed comparison of performance, scalability, and efficiency on thousands of parallel processors is established for a large-scale fracture mechanics problem with millions of unknowns.

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Notes

  1. 1.

    Intel Xeon 8168@2.7 GHz with 48 cores per node.

  2. 2.

    Setup in PETSc with -ksp_type cg -pc_type bjacobi -sub_pc_type icc.

  3. 3.

    Within the limit of 10,000 iterations and standard relative residual tolerance of \(10^{-8}\).

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Acknowledgments

The authors acknowledge the financial support of the Cross-Disciplinary Program on Numerical Simulation of CEA (France), the French Alternative Energies and Atomic Energy Commission. We thank TGCC-CEA, Bruyères-Le-Châtel, France, for providing us with compute time on the Irene Skylake partition on the French supercomputer Joliot-Curie. G. Rastiello was also supported by the SEISM Institute (http://www.institut-seism.fr).

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Authors and Affiliations

  1. Université Paris-Saclay, CEA, Service de thermo-hydraulique et de mécanique des fuides, 91191, Gif-sur-Yvette, France

    Mohd Afeef Badri

  2. Université Paris-Saclay, CEA, Service d’études mécaniques et thermiques, 91191, Gif-sur-Yvette, France

    Giuseppe Rastiello

Authors
  1. Mohd Afeef Badri
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  2. Giuseppe Rastiello
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Correspondence to Giuseppe Rastiello .

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Editors and Affiliations

  1. MAST-EMGCU, Université Gustave Eiffel, Marne-la-Vallée, France

    Pierre Rossi

  2. MAST-EMGCU, Université Gustave Eiffel, Marne-la-Vallée, France

    Jean-Louis Tailhan

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Badri, M.A., Rastiello, G. (2023). HPC Finite Element Solvers for Phase-Field Models for Fracture in Solids. In: Rossi, P., Tailhan, JL. (eds) Numerical Modeling Strategies for Sustainable Concrete Structures. SSCS 2022. RILEM Bookseries, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-031-07746-3_3

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  • DOI: https://doi.org/10.1007/978-3-031-07746-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-07745-6

  • Online ISBN: 978-3-031-07746-3

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