Hybrid Parallel Multigrid Methods for Geodynamical Simulations

Article in Edited Volumes
(Book chapter)

Publication Details

Author(s): Bauer S, Bunge HP, Drzisga DP, Gmeiner B, Huber M, John L, Mohr M, Rüde U, Stengel H, Waluga C, Weißmüller J, Wellein G, Wittmann M, Wohlmuth BI
Editor(s): Bungartz H., Neumann P., Nagel E.
Title edited volumes: 113
Publisher: Springer
Publishing place: Berlin, Heidelberg, New York
Publication year: 2016
Title of series: Lecture Notes in Computational Science and Engineering
Volume: 113
Pages range: 211-235
ISBN: 978-3-319-40526-1
Language: English


Even on modern supercomputer architectures, Earth mantle simulations are so compute intensive that they are considered grand challenge applications. The dominating roadblocks in this branch of Geophysics are model complexity and uncertainty in parameters and data, e.g., rheology and seismically imaged mantle heterogeneity, as well as the enormous space and time scales that must be resolved in the computational models. This article reports on a massively parallel all-at-once multigrid solver for the Stokes system as it arises in mantle convection models. The solver employs the hierarchical hybrid grids framework and demonstrates that a system with coupled velocity components and with more than a trillion (1. 7 ⋅ 1012) degrees of freedom can be solved in about 1,000 s using 40,960 compute cores of JUQUEEN. The simulation framework is used to investigate the influence of asthenosphere thickness and viscosity on upper mantle velocities in a static scenario. Additionally, results for a time-dependent simulation with a time-variable temperature-dependent viscosity model are presented.

FAU Authors / FAU Editors

Drzisga, Daniel Peter
Rüde, Ulrich Prof. Dr.
Lehrstuhl für Informatik 10 (Systemsimulation)
Lehrstuhl für Informatik 10 (Systemsimulation)
Gmeiner, Björn Dr.-Ing.
Lehrstuhl für Informatik 10 (Systemsimulation)
Huber, Markus
Lehrstuhl für Informatik 10 (Systemsimulation)
Wellein, Gerhard Prof. Dr.
Professur für Höchstleistungsrechnen
Wittmann, Markus
Professur für Höchstleistungsrechnen

External institutions with authors

Ludwig-Maximilians-Universität (LMU)
Technische Universität München (TUM)

How to cite

Bauer, S., Bunge, H.-P., Drzisga, D.P., Gmeiner, B., Huber, M., John, L.,... Wohlmuth, B.I. (2016). Hybrid Parallel Multigrid Methods for Geodynamical Simulations. In Bungartz H., Neumann P., Nagel E. (Eds.), 113. (pp. 211-235). Berlin, Heidelberg, New York: Springer.

Bauer, Simon, et al. "Hybrid Parallel Multigrid Methods for Geodynamical Simulations." 113. Ed. Bungartz H., Neumann P., Nagel E., Berlin, Heidelberg, New York: Springer, 2016. 211-235.


Last updated on 2019-22-07 at 07:21