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

Computer Methods in Applied Mechanics and Engineering · 1982 · Vol. 32(1-3) · pp. 199–259
A. BrooksThomas J.R. Hughes
Computational Fluid Dynamics and AerodynamicsAdvanced Numerical Methods in Computational MathematicsFluid Dynamics and Vibration AnalysisPetrov–Galerkin methodUpwind schemeMathematicsGalerkin methodNavier–Stokes equationsFinite element methodApplied mathematicsConvection–diffusion equationCompressibilityReynolds number

Funding

  • National Science Foundation
  • California Institute of Technology
  • Ames Research Center
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References
Numerical solution of the Navier-Stokes equations
Mathematics of Computation · 1968 · 5,203 citations
An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
International Journal for Numerical Methods in Engineering · 1977 · 588 citations
Finite element methods for second order differential equations with significant first derivatives
International Journal for Numerical Methods in Engineering · 1976 · 550 citations
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