Multipreconditioning with application to two-phase incompressible Navier–Stokes flow

Niall Bootland, Andrew Wathen

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

We consider the use of multipreconditioning to solve linear systems when more than one preconditioner is available but the optimal choice is not known. In particular, we consider a selective multipreconditioned GMRES algorithm where we incorporate a weighting that allows us to prefer one preconditioner over another. Our target application lies in the simulation of incompressible two-phase flow. Since it is not always known if a preconditioner will perform well within all regimes found in a simulation, we also consider robustness of the multipreconditioning to a poorly performing preconditioner. Overall, we obtain promising results with the approach.
Original languageEnglish
Title of host publicationEuropean Numerical Mathematics and Advanced Applications ENUMATH 2019
Place of PublicationSwitzerland
PublisherSpringer
Number of pages8
ISBN (Electronic)978-3-030-55874-1
ISBN (Print)978-3-030-55873-4
DOIs
Publication statusAccepted/In press - 15 Jun 2020
EventEuropean Numerical Mathematics and Advanced Applications Conference 2019 - Egmond aan Zee, Netherlands
Duration: 30 Sep 20194 Oct 2019
https://www.enumath2019.eu/

Conference

ConferenceEuropean Numerical Mathematics and Advanced Applications Conference 2019
Abbreviated titleENUMATH 2019
CountryNetherlands
CityEgmond aan Zee
Period30/09/194/10/19
Internet address

Keywords

  • fluid flow simulations
  • hydraulic modelling
  • preconditioners

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    Bootland, N., & Wathen, A. (Accepted/In press). Multipreconditioning with application to two-phase incompressible Navier–Stokes flow. In European Numerical Mathematics and Advanced Applications ENUMATH 2019 Springer. https://doi.org/10.1007/978-3-030-55874-1