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Exponential time integration using Krylov subspaces

Jan Schulze 1, 2, * Peter Schmid 3 J.L. Sesterhenn 1
* Corresponding author
1 Department for Numerical Methods in Aero/Astronautics, University of the German Armed Forces, Werner-Heisenberg-Weg 39, Munich, Germany
2 Department for Numerical Methods in Aero/Astronautics
3 LadHyX - Laboratoire d'hydrodynamique
Abstract : The application of exponential integrators based on Krylov techniques to large-scale simulations of complex fluid flows with multiple time-scales demonstrates the efficiency of these schemes in reducing the associated time-step restrictions due to numerical stiffness. Savings of approximately 50% can be achieved for simulations of the three-dimensional compressible Navier-Stokes equations while still maintaining a truncation error typical of explicit time-stepping schemes. Exponential time integration techniques of this type are particularly advantageous for fluid flows with a wide range of temporal scales such as low-Mach number, reactive or acoustically dominated flows. Copyright © 2008 John Wiley & Sons, Ltd.
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Submitted on : Wednesday, July 9, 2014 - 1:24:39 PM
Last modification on : Wednesday, May 26, 2021 - 8:56:01 PM

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Jan Schulze, Peter Schmid, J.L. Sesterhenn. Exponential time integration using Krylov subspaces. International Journal for Numerical Methods in Fluids, Wiley, 2009, 60 (6), pp.591-609. ⟨10.1002/fld.1902⟩. ⟨hal-01021154⟩

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