Simple continuous pressure elements for two- and three-dimensional incompressible flows

DOI10.1016/0045-7825(87)90089-2zbMath0608.76024OpenAlexW1983861054MaRDI QIDQ1086070

Gouri Dhatt, François Bertrand, Azzeddine Soulaimani, Yvon Ouellet, Michel Fortin

Publication date: 1987

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(87)90089-2

zbMATH Keywords

incompressible flowsNewton-Raphson methodnumerical quadraturepenalty methodduct flowsapproximate static condensationcontinuous pressure elementsThree-dimensional driven cavitytwo dimensions of space

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

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Cites Work

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• A stable finite element for the Stokes equations
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• A numerical solution of the Navier-Stokes equations using the finite element technique
• Error-bounds for finite element method
• A finite element method for the three-dimensional non-steady Navier-Stokes equations
• Experiments with several elements for viscous incompressible flows
• A generalization of Uzawa's algorithm for the solution of the Navier-Stokes equations
• A study of penalty elements for incompressible laminar flows
• The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
• On penalty function methods in the finite-element analysis of flow problems
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• An analysis of the convergence of mixed finite element methods
• A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 2: Applications