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| Hauptseite > Online First > Spectral deferred correction for Rayleigh-Benard convection |
| Hauptseite > Online First > Spectral deferred correction for Rayleigh-Benard convection |
| Conference Presentation (Other) | FZJ-2025-05400 |
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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.
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