Deshpande, MD (1992) Stability analysis of third order upwind difference schemes. Technical Report. National Aeronautical Laboratory, Bangalore, India.
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Abstract
Stability analysis of the Third order upwind difference13; schemes for the one-dimensional convection diffusion., equation is made using von Neumann stability analysis. Euler explicit scheme is used for time marching. The degree of upwinding/downwinding is controlled through a parameter-q. The effect of this parameter on stability is-studied so that the largest time step At or the diffusion numbered can be selected for a given cell Reynolds number Rc For very low Rc downwinding (qlt;O) improves stability whereas for larger R c upwinding (qgt;O) is better. For the latter case the critical diffusion number dcrit decreases like 2/Rc This is faster than the value 1/R for the first order upwind scheme.
| Item Type: | Proj.Doc/Technical Report (Technical Report) |
|---|---|
| Uncontrolled Keywords: | Stability analysis;Difference shares;Upwind-bias |
| Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |
| Division/Department: | Computational and Theoretical Fluid Dynamics Division |
| Depositing User: | Mr. Ravikumar R |
| Date Deposited: | 12 Jul 2006 |
| Last Modified: | 24 May 2010 09:43 |
| URI: | http://nal-ir.nal.res.in/id/eprint/1664 |
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