Roe solver

The Roe approximate Riemann solver is based around the Godunov scheme and involves finding an estimate for the intercell numerical flux or Godunov flux $F\_\{i\; +\; frac\{1\}\{2$ at the interface between to computational cells $C\_\{i\}$ and $C\_\{i+1\}$, on some descreetised space-time computational domain.

For the one dimensional quasi-linear hyperbolic system$frac\{partial\; Q\}\{partial\; t\}\; +\; A(Q)frac\{partial\; Q\}\{partial\; x\}\; =\; 0$

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Further reading

* Toro, E. F. (1999), "Riemann Solvers and Numerical Methods for Fluid Dynamics", Springer-Verlag.