The third order compact approximation in algorithms for incompressible flows
Abstract
A third-order-accurate compact upwind differencing scheme designated 'CUD-3', which has been developed for the approximation of connective terms, is presently applied in different forms of hydrodynamic equations. Its 'CUD-5' extention is also presented. It is shown that there is no limitation on cell Reynolds number with CUD-3. Illustrative applications of the method are in the computation of vorticity isolines at successive moments in a Prandtl vortex-pair problem, and in the unsteady viscous flow about a circular cylinder.
- Publication:
-
ISCFD Nagoya 1989 - 3rd International Symposium on Computational Fluid Dynamics
- Pub Date:
- 1989
- Bibcode:
- 1989cfd..symp..311T
- Keywords:
-
- Computational Fluid Dynamics;
- Incompressible Flow;
- Vorticity;
- Algorithms;
- Approximation;
- Reynolds Number;
- Fluid Mechanics and Heat Transfer