Stability analysis of third order upwind difference schemes

Deshpande, MD (1992) Stability analysis of third order upwind difference schemes. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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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: Monograph (Technical Report)
Uncontrolled Keywords: Stability analysis;Difference shares;Upwind-bias
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Mr. Ravikumar R
Date Deposited: 12 Jul 2006
Last Modified: 24 May 2010 04:13

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