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Scalability of a Parallel Monolithic Multilevel Solver for Poroelasticity

In: High Performance Computing in Science and Engineering ' 18

Author

Listed:
  • Arne Nägel

    (Goethe-Universität Frankfurt, Goethe-Center for Scientific Computing)

  • Gabriel Wittum

    (Goethe-Universität Frankfurt, Goethe-Center for Scientific Computing)

Abstract

This study investigates a solver for the quasi-static Biot model for soil consolidation. The scheme consists of an extrapolation scheme in time, complemented by a scalable monolithic multigrid method for solving the linear systems resulting after spatial discretisation. The key ingredient is a fixed-stress inexact Uzawa smoother that has been suggested and analysed using local Fourier analysis before (Gaspar and Rodrigo, Comput Methods Appl Mech Eng 326:526–540, 2017, [8]). The work at hand investigates the parallel properties of the resulting multigrid solver. For a 3D benchmark problem with roughly 400 million degrees of freedom, scalability is demonstrated in a preliminary study on Hazel Hen. The presented solver framework should be seen as a prototype, and can be extended and generalized, e.g., to non-linear problems easily.

Suggested Citation

  • Arne Nägel & Gabriel Wittum, 2019. "Scalability of a Parallel Monolithic Multilevel Solver for Poroelasticity," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering ' 18, pages 427-437, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-13325-2_27
    DOI: 10.1007/978-3-030-13325-2_27
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