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Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity

dc.contributor.authorElman, Howard C.en_US
dc.description.abstractWe introduce a preconditioner for the linearized Navier-Stokes equations that is effective when either the discretization mesh size or the viscosity approaches zero. For constant coefficient problems with periodic boundary conditions, we show that the preconditioning yields a system with a single eigenvalue equal to one, so that performance is independent of both viscosity and mesh size. For other boundary conditions, we demonstrate empirically that convergence depends only mildly on these parameters and we give a partial analysis of this phenomenon. We also show that some expensive subsidiary computations required by the new method can be replaced by inexpensive approximate versions of these tasks based on iteration, with virtually no degradation of performance. (Also cross-referenced as UMIACS-TR-96-82)en_US
dc.format.extent230152 bytes
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3712en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-96-82en_US
dc.titlePreconditioning for the Steady-State Navier-Stokes Equations with Low Viscosityen_US
dc.typeTechnical Reporten_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US

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