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• W1984334096 endingPage "101" @default.
• W1984334096 startingPage "84" @default.
• W1984334096 abstract "Efficient solution of the Navier–Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse linear systems. For unsteady incompressible flows, the pressure operator is the leading contributor to stiffness, as the characteristic propagation speed is infinite. In the context of operator splitting formulations, it is the pressure solve which is the most computationally challenging, despite its elliptic origins. We examine several preconditioners for the consistent L2Poisson operator arising in the PN− PN−2spectral element formulation of the incompressible Navier–Stokes equations. We develop a finite element-based additive Schwarz preconditioner using overlapping subdomains plus a coarse grid projection operator which is applied directly to the pressure on the interior Gauss points. For large two-dimensional problems this approach can yield as much as a fivefold reduction in simulation time over previously employed methods based upon deflation." @default.
• W1984334096 created "2016-06-24" @default.
• W1984334096 creator A5081088881 @default.
• W1984334096 date "1997-05-01" @default.
• W1984334096 modified "2023-10-17" @default.
• W1984334096 title "An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations" @default.
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• W1984334096 doi "https://doi.org/10.1006/jcph.1997.5651" @default.
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