[naffrancois]

Dear all,

I am looking for references where I could find comparisons for discontinuous flows between classical finite volume 2nd order schemes and higher order schemes such as eno, weno, kexact, DG etc. I am looking for these classical test cases such as shock-acoustic interaction in 1D, supersonic step, double mach, Rayleigh-Taylor in 2D. I am finding it hard to encounter articles where both approaches low-order/high-order are fairly compared on complex flows involving shocks and contacts, in terms of accuracy and computational speed.

edit: on unstructured meshes would be ideal

Many thanks,
François

[FMDenaro]

Have you tried to search in the publications of T.Barth?

[naffrancois]

Thank you for your suggestion. I will have a look to other papers from him. I read one of him from 1993:

Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes

where he applies his limiter to the full taylor exansion but the comparison to 2nd order limited is biased if I understood it well because 3rd order reconstruction is obtained by splitting the current mesh into sub-volumes (fig 4) hence resulting in smaller control volumes

[apoorv]

http://mech.ubc.ca/carl-ollivier-gooch/

[naffrancois]

thank you for your suggestion, I will have a look to this author

[FMDenaro]

Of course, you can find many useful references in the book of Leveque