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Journal Articles International Journal for Numerical Methods in Fluids Year : 2009

Exponential time integration using Krylov subspaces

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.

Dates and versions

hal-01021154 , version 1 (09-07-2014)

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