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

Niall Bootland; Andrew Wathen

doi:10.1007/978-3-030-55874-1

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

Niall Bootland, Andrew Wathen

Mathematics And Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

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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 language	English
Title of host publication	European Numerical Mathematics and Advanced Applications ENUMATH 2019
Place of Publication	Switzerland
Publisher	Springer
Number of pages	8
ISBN (Electronic)	978-3-030-55874-1
ISBN (Print)	978-3-030-55873-4
DOIs	https://doi.org/10.1007/978-3-030-55874-1
Publication status	Published - 23 Dec 2020
Event	European Numerical Mathematics and Advanced Applications Conference 2019 - Egmond aan Zee, Netherlands Duration: 30 Sept 2019 → 4 Oct 2019 https://www.enumath2019.eu/

Conference

Conference	European Numerical Mathematics and Advanced Applications Conference 2019
Abbreviated title	ENUMATH 2019
Country/Territory	Netherlands
City	Egmond aan Zee
Period	30/09/19 → 4/10/19
Internet address	https://www.enumath2019.eu/

Keywords

fluid flow simulations
hydraulic modelling
preconditioners

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10.1007/978-3-030-55874-1

Bootland-Wathen-2020-Multipreconditioning-with-application-to-two-phase-incompressibleAccepted author manuscript, 98.6 KB

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title = "Multipreconditioning with application to two-phase incompressible Navier–Stokes flow",

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.",

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T1 - Multipreconditioning with application to two-phase incompressible Navier–Stokes flow

AU - Bootland, Niall

AU - Wathen, Andrew

PY - 2020/12/23

Y1 - 2020/12/23

N2 - 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.

AB - 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.

KW - fluid flow simulations

KW - hydraulic modelling

KW - preconditioners

UR - https://arxiv.org/abs/2005.07608

U2 - 10.1007/978-3-030-55874-1

DO - 10.1007/978-3-030-55874-1

M3 - Conference contribution book

SN - 978-3-030-55873-4

BT - European Numerical Mathematics and Advanced Applications ENUMATH 2019

PB - Springer

CY - Switzerland

T2 - European Numerical Mathematics and Advanced Applications Conference 2019

Y2 - 30 September 2019 through 4 October 2019

ER -

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

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Keywords

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