Scalability of a Parallel Monolithic Multilevel Solver for Poroelasticity

Arne Nägel () and Gabriel Wittum
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Arne Nägel: Goethe-Universität Frankfurt, Goethe-Center for Scientific Computing
Gabriel Wittum: Goethe-Universität Frankfurt, Goethe-Center for Scientific Computing

A chapter in High Performance Computing in Science and Engineering ' 18, 2019, pp 427-437 from Springer

Abstract: 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.

Keywords: Multigrid; Poroelasticity; Parallel computing (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-13325-2_27

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DOI: 10.1007/978-3-030-13325-2_27

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