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Published March 2013 | Published
Journal Article Open

Large-scale adaptive mantle convection simulation

Abstract

A new generation, parallel adaptive-mesh mantle convection code, Rhea, is described and benchmarked. Rhea targets large-scale mantle convection simulations on parallel computers, and thus has been developed with a strong focus on computational efficiency and parallel scalability of both mesh handling and numerical solvers. Rhea builds mantle convection solvers on a collection of parallel octree-based adaptive finite element libraries that support new distributed data structures and parallel algorithms for dynamic coarsening, refinement, rebalancing and repartitioning of the mesh. In this study we demonstrate scalability to 122 880 compute cores and verify correctness of the implementation. We present the numerical approximation and convergence properties using 3-D benchmark problems and other tests for variable-viscosity Stokes flow and thermal convection.

Additional Information

© 2013 The Authors. Published by Oxford University Press on behalf of The Royal Astronomica. Accepted 2012 November 13. Received 2012 October 31; in original form 2012 March 20. First published online: January 10, 2013. The authors would like to thank Shijie Zhong for discussion and feedback. The NSF PetaApps program (OCI-0749334, OCI-0748898), the NSF CDI program (CMMI-1028889, CMMI-1028978), TeraGrid allocation (TG-MCA04N026) and further grants (EAR-0426271, EAR-0810303, DMS-072474) are gratefully acknowledged, as well as funding by the DOE Office of Science (DE-FC02-06ER25782, DE-SC0002710) and support by the Caltech Tectonics Observatory (by the Gordon and Betty Moore Foundation). The Texas Advanced Computing Center (TACC) and Oak Ridge National Laboratories provided outstanding help and support for our use of the Ranger and Jaguar supercomputers, respectively.

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August 22, 2023
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