Abstract
In this paper we consider a pure-streamfunction equation of the Ladyzhenskaya equations. For certain values of the parameters of the equation, the studied equation becomes identical to the pure-streamfunction equation of the Navier-Stokes equations. A weak form, a finite element method approximation procedures, and an iterative method for solving the discrete nonlinear problems are provided. Using the Bogner-Fox-Schmidt element, the steady 2-D incompressible flow in a driven cavity is solved using a grid mesh of 16 × 16. Streamfunction contours are also displayed showing the main features of the flow.
| Original language | English |
|---|---|
| Pages (from-to) | 1225-1231 |
| Number of pages | 7 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 56 |
| Issue number | 8 |
| DOIs | |
| State | Published - 20 Mar 2008 |
Keywords
- Finite element
- Ladyzhenskaya model
- Navier-Stokes equations
- Streamfunction formulation
- Subgridscale model
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications
- Applied Mathematics
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