Consistency analysis of a 1D Finite Volume scheme for barotropic Euler models

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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Numerical Analysis [math.NA]

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fvca7_BGM.pdf (135.96 Ko)

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Sebastian Minjeaud : Connect in order to contact the contributor

https://hal.science/hal-00961615

Submitted on : Thursday, March 20, 2014-12:14:09 PM

Last modification on : Monday, January 6, 2025-12:26:02 PM

Long-term archiving on : Friday, June 20, 2014-11:10:45 AM

Dates and versions

hal-00961615 , version 1 (20-03-2014)

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HAL Id : hal-00961615 , version 1

Cite

Florent Berthelin, Thierry Goudon, Sebastian Minjeaud. Consistency analysis of a 1D Finite Volume scheme for barotropic Euler models. J. Fuhrmann, M. Ohlberger, C. Rohde Eds. Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, 77, Springer Proc. in Math. \& Stat., pp. 97-106, 2015. ⟨hal-00961615⟩

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