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The TNG50 Simulation of the IllustrisTNG Project: Bridging the Gap Between Large Cosmological Volumes and Resolved Galaxies Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Scalability of a Parallel Monolithic Multilevel Solver for Poroelasticity

Authors : Arne Nägel, Gabriel Wittum

Published in: High Performance Computing in Science and Engineering ' 18

Publisher: Springer International Publishing

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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.

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previous chapter Load-Balancing and Spatial Adaptivity for Coarse-Grained Molecular Dynamics Applications
next chapter High Fidelity Monte Carlo for Fusion Neutronics
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Metadata
Title
Scalability of a Parallel Monolithic Multilevel Solver for Poroelasticity
Authors
Arne Nägel
Gabriel Wittum
Copyright Year
2019
Book
High Performance Computing in Science and Engineering ' 18

Print ISBN: 978-3-030-13324-5

Electronic ISBN: 978-3-030-13325-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-13325-2_27

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