Supercomputing and the Finite Element Approximation of the Navier-Stokes Equations for Incompressible Viscous Fluids

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dc.contributor.authorGlowinski, Rolanden_US
dc.date.accessioned2018-06-18T17:28:17Zen_US
dc.date.available2018-06-18T17:28:17Zen_US
dc.date.issued1988-06en_US
dc.date.noteJune 1988en_US
dc.description.abstractWe discuss in this paper the numerical simulation of unsteady incompressible flows modeled by the Navier-Stokes equations, concentrating most particularly on flows at Reynold number of the order of 10^3 to 10^4. The numerical methodology described here is of modular type and well suited to super computers; it is based on time discretization by operator splitting, and space discretization by low order finite element approximations, leading to highly sparse matrices. The Stokes subproblems originating from the splitting are treated by an efficient Stokes solver, particularly efficient for flow at high Reynold numbers; the nonlinear subproblems associated with the advection are solved by a least squares/preconditioned conjugate gradient method. The methodology discussed here is then applied to the simulation of jets in a cavity, using a CRAY X-MP supercomputer. Various visualizations of the numerical results are presented, in order to show the vortex dynamics taking place in the cavity.en_US
dc.format.extent42 ppen_US
dc.identifier.citationGlowinski, Roland. "Supercomputing and the Finite Element Approximation of the Navier-Stokes Equations for Incompressible Viscous Fluids." (1988) <a href="https://hdl.handle.net/1911/101644">https://hdl.handle.net/1911/101644</a>.en_US
dc.identifier.digitalTR88-08en_US
dc.identifier.urihttps://hdl.handle.net/1911/101644en_US
dc.language.isoengen_US
dc.titleSupercomputing and the Finite Element Approximation of the Navier-Stokes Equations for Incompressible Viscous Fluidsen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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