An exponential time integrator for the incompressible navier–stokes equation

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

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

6 Citaten (Scopus)
65 Downloads (Pure)


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.

Originele taal-2Engels
Pagina's (van-tot)B684-B705
TijdschriftSIAM Journal on Scientific Computing
Nummer van het tijdschrift3
StatusGepubliceerd - 1 jan. 2018


Duik in de onderzoeksthema's van 'An exponential time integrator for the incompressible navier–stokes equation'. Samen vormen ze een unieke vingerafdruk.

Citeer dit