An exponential time integrator for the incompressible navier–stokes equation

Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts

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Abstract

We present an exponential time integration method for the incompressible Navier–Stokes equation. An essential step in our procedure is the treatment of the pressure by applying a divergence-free projection to the momentum equation. The differential-algebraic equation for the discrete velocity and pressure is then reduced to a conventional ordinary differential equation that can be solved with the proposed exponential integrator. A promising feature of exponential time integration is its potential time parallelism within the Paraexp algorithm. We demonstrate that our approach leads to parallel speedup assuming negligible parallel communication.

Original languageEnglish
Pages (from-to)B684-B705
JournalSIAM Journal on Scientific Computing
Volume40
Issue number3
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Block Krylov subspace method
  • Exponential time integration
  • Incompressible Navier–Stokes equation
  • Parallel in time
  • incompressible Navier-Stokes equation
  • block Krylov subspace method
  • exponential time integration
  • parallel in time

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