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

✍ Scribed by Vitoriano Ruas; Antonio C.P. Brasil Jr.

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
498 KB
Volume
20
Category
Article
ISSN
0893-9659

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✦ Synopsis

A three-field finite element scheme for the explicit iterative solution of the stationary incompressible Navier-Stokes equations is studied. In linearized form the scheme is associated with a generalized time-dependent Stokes system discretized in time. The resulting system of equations allows for a stable approximation of velocity, pressure and stress deviator tensor, by means of continuous piecewise linear finite elements, in both two-and three-dimensional space. Convergence in an appropriate sense applying to this finite element discretization is demonstrated, for the stationary Stokes system.

📜 SIMILAR VOLUMES

Two-grid finite element formulations of
Two-grid finite element formulations of the incompressible Navier-Stokes equations
✍ UTNES, T. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 2 views

The paper compares two dierent two-grid ®nite element formulations applied to the Navier±Stokes equations, namely a multigrid and a mixed or composite formulation. In the latter case the pressure is interpolated on a coarser grid than the velocity, using mixed elements instead of mixed interpolation