Explicit solution of the incompressible Navier-Stokes equations with linear finite elements

DOI10.1016/j.aml.2007.01.001zbMath1152.35458OpenAlexW2040508651MaRDI QIDQ998558

Antonio C. P. jun. Brasil, Vitoriano Ruas

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.01.001

zbMATH Keywords

Navier-Stokes equationsexplicit solutionthree-field formulationlinear finite elements

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow ⋮ An explicit method for convection-diffusion equations

Cites Work

• A mixed finite element approximation of the Navier-Stokes equations
• An analysis of a mixed finite element method for the Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A new algorithm for simulating viscoelastic flows accommodating piecewise linear finite elements
• Equivalent Norms for Sobolev Spaces
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