Abstract
The pure-streamfunction equation of Ladyzhenskaya equations is considered which, for specific parameters, is identical to the pure-streamfunction equation of the Navier-Stokes equations. We present a weak form, a procedure for finite element method approximation and an iterative method for solving the discrete nonlinear problems. We solve a 2-D incompressible flow in a driven cavity using the Bogner-Fox-Schmidt element and a grid mesh of 16X16. We display the features of the flow by streamfunction contours and a plot of differences between the streamfunction of Ladyzhenskaya and that of the Navier-Stokes equations.
| Original language | English |
|---|---|
| Pages (from-to) | 493-499 |
| Number of pages | 7 |
| Journal | WSEAS Transactions on Mathematics |
| Volume | 4 |
| Issue number | 4 |
| State | Published - Oct 2005 |
Keywords
- Finite element
- Ladyzhenskaya model
- Navier-Stokes equations
- Streamfunction formulation
- Subgridscale model
ASJC Scopus subject areas
- Algebra and Number Theory
- Endocrinology, Diabetes and Metabolism
- Statistics and Probability
- Discrete Mathematics and Combinatorics
- Management Science and Operations Research
- Control and Optimization
- Computational Mathematics
- Applied Mathematics