Abstract
This work is concerned with the consistency study of a 1D (staggered kinetic) finite volume scheme for barotropic Euler models. We prove a Lax-Wendroff-like statement: the limit of a converging (and uniformly bounded) sequence of stepwise constant functions defined from the scheme is a weak entropic-solution of the system of conservation laws.
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References
Berthelin, F., Goudon, T., Minjeaud, S.: Kinetic schemes on staggered grids for barotropic euler models: entropy-stability, analysis. Mathematics of Computation (2014)
Herbin, R., Latché, J.C., Nguyen, T.T.: Consistent explicit staggered schemes for compressible flows; part I: the barotropic Euler equations. Technical Report, LATP, University of Aix-Marseille & CNRS (2013)
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© 2014 Springer International Publishing Switzerland
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Berthelin, F., Goudon, T., Minjeaud, S. (2014). Consistency Analysis of a 1D Finite Volume Scheme for Barotropic Euler Models. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects. Springer Proceedings in Mathematics & Statistics, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-319-05684-5_8
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DOI: https://doi.org/10.1007/978-3-319-05684-5_8
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Online ISBN: 978-3-319-05684-5
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