TY  - CONF
AU  - Baumann, Thomas
AU  - Speck, Robert
AU  - Lunet, Thibaut
AU  - Ruprecht, Daniel
AU  - Götschel, Sebastian
TI  - Spectral deferred correction for Rayleigh-Benard convection
M1  - FZJ-2025-05400
PY  - 2025
AB  - 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.
T2  - SDC Days 2025
CY  - 15 Dec 2025 - 17 Dec 2025, Dresden (Germany)
Y2  - 15 Dec 2025 - 17 Dec 2025
M2  - Dresden, Germany
LB  - PUB:(DE-HGF)6
UR  - https://juser.fz-juelich.de/record/1049610
ER  -