ME 540

Numerical Solutions Applied To Heat Transfer And Fluid Mechanics Problems

Quantifying Numerical Diffusion.  Wiggles.

This lecture covers two separate topics and is based on two class handouts.  The first is a chapter from a PhD thesis by Rafael Macian (Penn State, 1996), describing the use of a method developed by Levenspiel (O. Levenspiel, Chemical Reaction Engineering, 2nd Ed., Wiley, New York, 1972) for analysis of mixing in chemical reactors.  The C-curve method permits us to extract information from numerical experments, and make quantitative statements about the effective coefficient of numerical diffusion for a given numerical method.  The second topic describes the interaction of boundary conditions with numerical flow solutions as a function of Peclet number.  It is based on Section III-C-8 from "Computational Fluid Dynamics" by Patrick Roache (Hermosa Publishers, Albuquerque, 1972).

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