Roe solver

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 systemfrac{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.


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