Abstract
The enforcement of divergence-free condition in the interior and on the boundaries of an incompressible flow with two non-periodic directions is discussed for a Chebyshev collocation formulation. An influence matrix technique along with a correction methodology is used to satisfy the continuity equation everywhere in the domain. Details of implementing this procedure in a collocation method are presented. An efficient solution procedure based on matrix diagonalization has been used to solve the resulting full matrices. Two test problems: (a) flow in a driven square cavity, and (b) fully-developed laminar flow in a square duct subject to a three-dimensional perturbation are studied. Run-time statistics (CPU, memory, MFLOPS) of the solution procedure are presented for representative grid sizes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 199-206 |
| Number of pages | 8 |
| Journal | Journal of Computational Physics |
| Volume | 105 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 1993 |
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics