Multigrid Schemes for Time-Dependent Incompressible Navier-Stokes Equations

C. W. Oosterlee; P. Wesseling

doi:10.1006/icse.1993.1007

Multigrid Schemes for Time-Dependent Incompressible Navier-Stokes Equations

C. W. Oosterlee^*
, P. Wesseling

^*Corresponding author for this work

Delft University of Technology

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The instationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear coordinates on a staggered grid. Several multigrid schemes to solve time-dependent equations are presented, investigated and compared: the time marching scheme, a parabolic multigrid scheme, and a multigrid waveform relaxation scheme. All methods will be based on the same robust smoother, a coupled smoothing method. Furthermore the behaviour of the BDF(2)- time discretization scheme is investigated. Some test problems are investigated, not only rectangular ones.

Original language	English
Pages (from-to)	153-175
Number of pages	23
Journal	IMPACT of Computing in Science and Engineering
Volume	5
Issue number	3
DOIs	https://doi.org/10.1006/icse.1993.1007
Publication status	Published - Sept 1993
Externally published	Yes

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abstract = "The instationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear coordinates on a staggered grid. Several multigrid schemes to solve time-dependent equations are presented, investigated and compared: the time marching scheme, a parabolic multigrid scheme, and a multigrid waveform relaxation scheme. All methods will be based on the same robust smoother, a coupled smoothing method. Furthermore the behaviour of the BDF(2)- time discretization scheme is investigated. Some test problems are investigated, not only rectangular ones.",

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year = "1993",

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N2 - The instationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear coordinates on a staggered grid. Several multigrid schemes to solve time-dependent equations are presented, investigated and compared: the time marching scheme, a parabolic multigrid scheme, and a multigrid waveform relaxation scheme. All methods will be based on the same robust smoother, a coupled smoothing method. Furthermore the behaviour of the BDF(2)- time discretization scheme is investigated. Some test problems are investigated, not only rectangular ones.

AB - The instationary incompressible Navier-Stokes equations are discretized with a finite volume method in curvilinear coordinates on a staggered grid. Several multigrid schemes to solve time-dependent equations are presented, investigated and compared: the time marching scheme, a parabolic multigrid scheme, and a multigrid waveform relaxation scheme. All methods will be based on the same robust smoother, a coupled smoothing method. Furthermore the behaviour of the BDF(2)- time discretization scheme is investigated. Some test problems are investigated, not only rectangular ones.

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ER -

Multigrid Schemes for Time-Dependent Incompressible Navier-Stokes Equations

Abstract

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