Abstract
The aim of this contribution is to develop a high order numerical scheme for simulating compressible multiphase flows. For reaching high order, we propose to use the Runge-Kutta Discontinuous Galerkin method. The development of such a method is not straightforward, because it was originally developed for conservative systems, whereas the system of interest is not conservative. We show how to circumvent this difficulty, and prove the accuracy and the robustness of our method on one and two dimensional numerical tests.
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Acknowledgements
The first contributing author is very grateful to Dr. Caroline Baldassari (INRIA – Total), who emailed him all the numerical results he had forgotten on a USB key in Pau.
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© 2011 Springer-Verlag Berlin Heidelberg
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Perrier, V., Franquet, E. (2011). Runge–Kutta Discontinuous Galerkin Method for Multi–phase Compressible Flows. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_7
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DOI: https://doi.org/10.1007/978-3-642-17884-9_7
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-17884-9
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