What refinement indicators currently exist for hyperbolic system of PDEs, in particular, the shallow water equations? which is your favourite and why? also provide references.
Check this publication and its references.
Article Weak local residuals as smoothness indicators for the shallo...
Thanks Agah. I already have the paper and other related works from the first author.
I just want to know if there are other indicators in addition to weak local residual and numerical entropy production.
We have used in this paper
http://onlinelibrary.wiley.com/doi/10.1002/qj.2544/full
a criterion based on evaluation of the modal coefficients in a Legendre basis representation of the numerical solution. It is essentially heuristic but works well for smooth functions.
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