Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

DOI10.1016/0045-7825(82)90071-8zbMath0497.76041OpenAlexW2073897969WikidataQ113322652 ScholiaQ113322652MaRDI QIDQ1170959

Thomas J. R. Hughes, Alexander N. Brooks

Publication date: 1982

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(82)90071-8

zbMATH Keywords

upwind differencingstability propertiestransient problemsoptimally weighted artificial diffusivity in streamwise directionpredictor-multicorrelator methodspressure and continuity equationstreamline Petrov/Galerkintwo dimensional elementsvortex shedding behind 2-D cylinder in channel for Reynolds number 100

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Implicit-explicit finite elements in nonlinear transient analysis
• Note on the von Neumann stability of the explicit FTCS convective diffusion equation
• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow
• A critical evaluation of upstream differencing applied to problems involving fluid flow
• Improved stability techniques for the solution of Navier-Stokes equations
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Smoothing techniques for certain primitive variable solutions of the Navier-Stokes equations
• A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
• The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• Finite element methods for second order differential equations with significant first derivatives
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• A simple scheme for developing ‘upwind’ finite elements
• Numerical Solution of the Navier-Stokes Equations
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