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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Acknowledgements
This work has been supported by the DFG in the German Priority Programme 1648 - Software for Exascale Computing in the project Exasolvers (WI 1037/24-2). The authors would like to thank Sebastian Reiter and Michael Lampe for support for generating the geometries and discussions on scalability aspects of Hazel Hen. Moreover, the technical support by HLRS staff is gratefully acknowledged.
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Nägel, A., Wittum, G. (2019). Scalability of a Parallel Monolithic Multilevel Solver for Poroelasticity. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ' 18. Springer, Cham. https://doi.org/10.1007/978-3-030-13325-2_27
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DOI: https://doi.org/10.1007/978-3-030-13325-2_27
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