A high order finite difference method for fluid flow problems
Abstract
A high order finite difference approximation is presented for the two-dimensional convection-diffusion equation with variable coefficients. The approximation is stable, cost-effective and has truncation error of order h to the 4th. The numerical perormance of this method is presented over a set of test problems and the results are compared with those obtained with the central difference approximation. Some numerical results are also presented for the problem of driven cavity.
- Publication:
-
System Simulation and Scientific Computation
- Pub Date:
- 1983
- Bibcode:
- 1983sssc....1..212G
- Keywords:
-
- Computational Fluid Dynamics;
- Convective Flow;
- Finite Difference Theory;
- Diffusion;
- Flow Equations;
- Incompressible Fluids;
- Navier-Stokes Equation;
- Viscous Fluids;
- Fluid Mechanics and Heat Transfer