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@INPROCEEDINGS{Baumann:1049610,
author = {Baumann, Thomas and Speck, Robert and Lunet, Thibaut and
Ruprecht, Daniel and Götschel, Sebastian},
title = {{S}pectral deferred correction for {R}ayleigh-{B}enard
convection},
reportid = {FZJ-2025-05400},
year = {2025},
abstract = {Rayleigh-Benard convection is a benchmark problem for
incompressible turbulent flows. Turbulence is typically
discretized with high resolution in space in order to
capture all relevant length scales, but the time direction
is usually not treated with the same rigor. We show that
high-order spectral deferred correction (SDC) and
Runge-Kutta (RK) methods have improved stability over first
order RK, mitigating the additional computational cost per
time step. Furthermore, we demonstrate improved accuracy
with increasing order of time integration in key averaged
quantities. We find that diagonal preconditioners in SDC
allow to either get faster time to solution as a RK method
of the same order or to get higher order and accuracy with
similar time to solution as the RK method only at the
expense of additional hardware.},
month = {Dec},
date = {2025-12-15},
organization = {SDC Days 2025, Dresden (Germany), 15
Dec 2025 - 17 Dec 2025},
subtyp = {Other},
cin = {JSC},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5112},
typ = {PUB:(DE-HGF)6},
url = {https://juser.fz-juelich.de/record/1049610},
}