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001049610 037__ $$aFZJ-2025-05400
001049610 1001_ $$0P:(DE-Juel1)190575$$aBaumann, Thomas$$b0$$eCorresponding author$$ufzj
001049610 1112_ $$aSDC Days 2025$$cDresden$$d2025-12-15 - 2025-12-17$$wGermany
001049610 245__ $$aSpectral deferred correction for Rayleigh-Benard convection
001049610 260__ $$c2025
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001049610 520__ $$aRayleigh-Benard convection is a benchmark problem for incompressible turbulent flows. Turbulence is typically discretized with high resolution in space in order to capture all relevant length scales, but the time direction is usually not treated with the same rigor. We show that high-order spectral deferred correction (SDC) and Runge-Kutta (RK) methods have improved stability over first order RK, mitigating the additional computational cost per time step. Furthermore, we demonstrate improved accuracy with increasing order of time integration in key averaged quantities. We find that diagonal preconditioners in SDC allow to either get faster time to solution as a RK method of the same order or to get higher order and accuracy with similar time to solution as the RK method only at the expense of additional hardware.
001049610 536__ $$0G:(DE-HGF)POF4-5112$$a5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
001049610 7001_ $$0P:(DE-Juel1)132268$$aSpeck, Robert$$b1$$ufzj
001049610 7001_ $$0P:(DE-HGF)0$$aLunet, Thibaut$$b2
001049610 7001_ $$0P:(DE-HGF)0$$aRuprecht, Daniel$$b3
001049610 7001_ $$0P:(DE-HGF)0$$aGötschel, Sebastian$$b4
001049610 8564_ $$uhttps://juser.fz-juelich.de/record/1049610/files/parallelSDC.pdf$$yRestricted
001049610 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)190575$$aForschungszentrum Jülich$$b0$$kFZJ
001049610 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)132268$$aForschungszentrum Jülich$$b1$$kFZJ
001049610 9131_ $$0G:(DE-HGF)POF4-511$$1G:(DE-HGF)POF4-510$$2G:(DE-HGF)POF4-500$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$9G:(DE-HGF)POF4-5112$$aDE-HGF$$bKey Technologies$$lEngineering Digital Futures – Supercomputing, Data Management and Information Security for Knowledge and Action$$vEnabling Computational- & Data-Intensive Science and Engineering$$x0
001049610 9141_ $$y2025
001049610 920__ $$lyes
001049610 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0
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