Abstract
We propose to extend some recent gradient reconstruction, the so–called DDFV approaches, to derive accurate finite volume schemes to approximate the weak solutions of the 2D Euler equations. A particular attention is paid on the limitation procedure to enforce the required robustness property. Some numerical experiments are performed to highlight the relevance of the suggested MUSCL–DDFV technique.
MSC2010: 65M08, 65N12, 76N99
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Berthon, C., Coudière, Y., Desveaux, V. (2011). Development of DDFV Methods for the Euler Equations. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_13
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DOI: https://doi.org/10.1007/978-3-642-20671-9_13
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