Finite element solution of the Navier-Stokes equations for incompressible flow using a segregated algorithm

DOI10.1016/S0045-7825(97)00107-2zbMath0916.76032OpenAlexW2091018191WikidataQ126849069 ScholiaQ126849069MaRDI QIDQ1267948

C. G. du Toit

Publication date: 13 October 1998

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00107-2

zbMATH Keywords

equal-order interpolationsSUPG formulationSIMPLEST algorithmdirect linear equation solveriterative linear equation solverSUPG weighting functionssymmetric coefficient matrices

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Solution of nearly incompressible field problems using a generalized finite element approach ⋮ A segregated finite element solution for non-isothermal flow ⋮ SUPG stabilized finite element resolution of the Navier--Stokes equations. Applications to water treatment engineering

Cites Work

• A monotone streamline upwind finite element method for convection- dominated flows
• A numerical study of the cusp catastrophe for Bénard convection in tilted cavities
• A segregated formulation of Navier-Stokes equations with finite elements
• An equal-order velocity-pressure formulation that does not exhibit spurious pressure modes
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• A poisson equation formulation for pressure calculations in penalty finite element models for viscous incompressible flows
• Using a segregated finite element scheme to solve the incompressible Navier-Stokes equations
• A CONTROL VOLUME-BASED FINITE-ELEMENT METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS USING EQUAL-ORDER VELOCITY-PRESSURE INTERPOLATION
• Frontal solution program for unsymmetric matrices
• Segregated finite element algorithms for the numerical solution of large‐scale incompressible flow problems
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