Abstract
We reformulate the Osher Riemann solver by, first, adopting the canonical path in phase space, and then performing numerical integration of a matrix. We compare the reformulated scheme of this chapter with the original Osher scheme on a series of test problems for the one-dimensional Euler equations for ideal gases, concluding that the present solver is simpler, more robust, more accurate and can be applied to any hyperbolic system.
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References
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Acknowledgments
The research presented here was partially funded by the Italian Ministry of University and Research (MIUR) in the frame of the project PRIN 2007.
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© 2011 Springer-Verlag Berlin Heidelberg
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Toro, E.F., Dumbser, M. (2011). Reformulated Osher-Type Riemann Solver. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_14
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DOI: https://doi.org/10.1007/978-3-642-17884-9_14
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