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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    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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