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Oct 9, 2017 at 14:30 comment added Emilia Bopp Thank you for elaborating. In the meantime, I found a paper by Castro & Toro (2014) titled "Roe-type Riemann solvers for general hyperbolic systems". It appears to generalize the Roe formalism somewhat. As you rightly point out though, it still requires knowledge of the eigenstructure of the system.
Oct 9, 2017 at 14:27 vote accept Emilia Bopp
Oct 5, 2017 at 13:17 history answered cfdlab CC BY-SA 3.0