On Wed, May 15, 2013 at 2:27 PM, Manav Bhatia <[email protected]> wrote:
>
> It is dNi/dx that I plotted. Actually, for this 1D case, the dNi/dxi
> and dNi/dx are simply scaled variants of each other by a constant (the
> factor 2/h that you mentioned).
The point being that the inverse of this "constant" gets smaller if
you refine the grid, and stays the same if you don't.
> I do follow your argument for 1/h, but varying polynomial order also
> varies the tau value (reducing values of tau with higher p). How would that
> reflect on identifying the h-order-dependence? Or would it stay consistent
> with h^1 for tau, no matter what p is used?
That I don't know. Since you are using a consistent scheme like GLS,
your stabilization parameter is proportional the strong residual as
well.
Perhaps one can argue that the strong residual gets smaller at some
rate like h^p, so that the overall stabilization term goes like
h^{p+1}, and then you'd be fine.
--
John
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