Hybrid Parallel Multigrid Methods for Geodynamical Simulations

Beitrag in einem Sammelwerk

Details zur Publikation

Autor(en): 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
Herausgeber: Bungartz H., Neumann P., Nagel E.
Titel Sammelwerk: 113
Verlag: Springer
Verlagsort: Berlin, Heidelberg, New York
Jahr der Veröffentlichung: 2016
Titel der Reihe: Lecture Notes in Computational Science and Engineering
Band: 113
Seitenbereich: 211-235
ISBN: 978-3-319-40526-1
Sprache: Englisch


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-Autoren / FAU-Herausgeber

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

Autor(en) der externen Einrichtung(en)
Ludwig-Maximilians-Universität (LMU)
Technische Universität München (TUM)


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.


Zuletzt aktualisiert 2018-11-08 um 01:59