Conference Presentation (Invited)

FZJ-2025-05340

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Diagonal spectral deferred correction for 3D Rayleigh-Benard convection

Baumann, T. (Corresponding author)FZJ* ; Speck, R.FZJ* ; Lunet, T. ; Götschel, S. ; Ruprecht, D.

2025

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Please use a persistent id in citations: doi:10.34734/FZJ-2025-05340

Abstract: Rayleigh-Benard convection (RBC) is a complex benchmark for compressible flow. Turbulent dynamics make it a difficult problem to speed up using parallel-in-time methods. However, recent advances in diagonal preconditioners for the iterative time-stepping method spectral deferred correction (SDC) enabled small-scale time parallelism with high parallel efficiency, even for hyperbolic problems. In this talk we first show that time-parallel SDC can outperform state-of-the-art, time-serial, reference Runge-Kutta methods for our pseudo-spectral IMEX discretization of RBC using a range of numerical experiments. Then, we measure space-time parallel speedup on CPUs and GPUs, demonstrating the ability of diagonal SDC to extend the scaling capabilities beyond the limits of spatial parallelism at high parallel efficiency.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2025

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