On Apr 18, 2013, at 6:29 PM, Jed Brown <[email protected]> wrote:

> 2. Numerical dissipation introduced by an approximate Riemann solver is
> decoupled from the convergence rate of the method.  The Riemann solve
> has no tunable parameters, does not depend on the grid, and can attain
> any order of accuracy purely by raising the order of reconstruction (in
> FV) or the basis order (in DG).  Compare this to SUPG, for example,
> which has an O(h) term.

No tunable parameters?  What approximate Riemann solver are you referring to?  
The plethora of choices seems like a "tunable parameter" to me, let alone 
eigenvalue limiting, entropy fixes, etc..  Granted, as the difference between 
left and right states decreases (as is the case for high order DG with smooth 
solutions) the importance of these choices is lessened, but still… 



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