We present a Roe-type weak formulation Riemann solver where the average coefficient matrix is computed numerically. The novelty of this approach is that it is general enough that can be applied to any hyperbolic system while retaining the accuracy of the original Roe solver. We show applications to the compressible Euler equations with general equation of state. An alternative version of the method uses directly the eigenvectors in the averaging process, simplifying the algorithm. These new solvers are applied in conservative and path-conservative schemes with high-order accuracy and on unstructured meshes. © 2014 John Wiley & Sons, Ltd.
Roe-type Riemann solvers for general hyperbolic systems / Castro, C. E.; Toro, E. F.. - In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. - ISSN 0271-2091. - 75:7(2014), pp. 467-486. [10.1002/fld.3903]
Roe-type Riemann solvers for general hyperbolic systems
Toro E. F.
2014-01-01
Abstract
We present a Roe-type weak formulation Riemann solver where the average coefficient matrix is computed numerically. The novelty of this approach is that it is general enough that can be applied to any hyperbolic system while retaining the accuracy of the original Roe solver. We show applications to the compressible Euler equations with general equation of state. An alternative version of the method uses directly the eigenvectors in the averaging process, simplifying the algorithm. These new solvers are applied in conservative and path-conservative schemes with high-order accuracy and on unstructured meshes. © 2014 John Wiley & Sons, Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione