A new upwind finite element scheme for the three-dimensional incompressible Navier-Stokes equations at high Reynolds numbers is presented. This three-dimensional scheme is a natural extension of the two-dimensional scheme (M. Tabata and S. Fujima, Internat. J. Numer. Methods Fluids 12 (1991) 305-322), and it has a potential to approximate the convection term in third-order accuracy. Stability domains in terms of a stabilizing parameter and the time increment appearing in the scheme are investigated numerically. The method of decomposition used for a tetrahedral element is also explained. Numerical results of flow problems in a lid-driven square cavity and past a circular cylinder are shown.
|Number of pages||23|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|Publication status||Published - 1994|
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics