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Iterative Methods for Problems in Computational Fluid Dynamics

dc.contributor.authorElman, Howard C.en_US
dc.contributor.authorSilvester, David J.en_US
dc.contributor.authorWathen, Andrew J.en_US
dc.description.abstractWe discuss iterative methods for solving the algebraic systems of equations arising from linearization and discretization of primitive variable formulations of the incompressible Navier-Stokes equations. Implicit discretization in time leads to a coupled but linear system of partial differential equations at each time step, and discretization in space then produces a series of linear algebraic systems. We give an overview of commonly used time and space discretization techniques,and we discuss a variety of algorithmic strategies for solving the resulting systems of equations.The emphasis is on preconditioning techniques, which can be combined with Krylov subspace iterative methods.In many cases the solution of subsidiary problems such as the discrete convection-diffusion equation and the discrete Stokes equations plays a crucial role. We examine iterative techniques for these problems and show how they can be integrated into effective solution algorithms for the Navier-Stokes equations. (Also cross-referenced as UMIACS-TR-96-58)en_US
dc.format.extent737386 bytes
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3675en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-96-58en_US
dc.titleIterative Methods for Problems in Computational Fluid Dynamicsen_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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