Vorticity-velocity formulation for the Navier-Stokes equations: The three-dimensional case
✍ Scribed by Theodore Tachim Medjo
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 160 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
In this article, we propose a mixed method for the vorticity-velocity formulation of the stationary Stokes and Navier-Stokes equations in space dimension three, the unknowns being the vorticity and the velocity of the fluid. We give a similar variational formulation for the nonstationary Stokes equations in the vorticityvelocity variables.
📜 SIMILAR VOLUMES
We develop and analyze a least-squares finite element method for the steady state, incompressible Navier-Stokes equations, written as a first-order system involving vorticity as new dependent variable. In contrast to standard L 2 least-squares methods for this system, our approach utilizes discrete
Our work is an extension of the previously proposed multivariant element. We assign this re®ned element as a compact mixed-order element in the sense that use of this element offers a much smaller bandwidth. The analysis is implemented on quadratic hexahedral elements with a view to analysing a thre