Abstract
Fourth-order compact finite difference schemes are employed with multigrid techniques to simulate the two-dimensional square driven cavity flow with small to large Reynolds numbers. The governing Navier-Stokes equation is linearized in streamfunction and vorticity formulation. The fourth-order compact approximation schemes are coupled with fourth-order approximations for velocities and vorticity boundaries. Numerical solutions are obtained for square driven cavity flow at high Reynolds numbers and are compared with solutions obtained by other researchers using other approximation methods.
| Original language | English |
|---|---|
| Pages (from-to) | 43-52 |
| Number of pages | 10 |
| Journal | Computers and Mathematics with Applications |
| Volume | 45 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - 2003 |
Keywords
- Convection diffusion equation
- Fourth-order compact discretization
- Incompressible Navier-Stokes equations
- Multigrid method
- Square driven cavity problem
ASJC Scopus subject areas
- Modeling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics