Mixed finite element solution for the Navier-Stokes equations

DOI10.1016/0045-7825(84)90035-5zbMath0512.76041OpenAlexW2061632240MaRDI QIDQ1050213

Jaime Figueroa-Nieto

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90035-5

zbMATH Keywords

discontinuous elementssquare cavitystream functionmixed methodviscous stress tensorhigh Reynolds numberssecondary vortexrecirculating flowupper right cornerupwind derivatives

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Cites Work

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• Review of computing methods for recirculating flows
• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Mixed finite-element methods for incompressible flow problems
• An analysis of a mixed finite element method for the Navier-Stokes equations
• New finite element results for the square cavity
• On the convergence of a mixed finite-element method for plate bending problems
• A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
• An Analysis of Upwind Schemes for the Navier–Stokes Equations
• On cavity flow at high Reynolds numbers
• A mixed finite element method for the Navier-Stokes equations
• A refined mixed-type plate bending element.

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