Exponential time integration using Krylov subspaces

Jan C. Schulze, P. J. Schmid, J. L. Sesterhenn

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)591-609
Number of pages19
JournalInternational Journal for Numerical Methods in Fluids
Volume60
Issue number6
DOIs
StatePublished - Jun 30 2009
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Applied Mathematics
  • Computer Science Applications

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