Abstract
For the approximation of the complete Euler equations we propose a new finite volume method based on Brenner's two-velocity model. Applying the theory developed in Part II of this monograph we prove the convergence of the method by showing that the method yields stable and consistent aproxmation. This can be seen as a nonlinear analogue of the Lax equivalence principle.
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Feireisl, E., Lukáčová-Medviďová, M., Mizerová, H., She, B. (2021). Finite Volume Method for the Complete Euler System. In: Numerical Analysis of Compressible Fluid Flows. MS&A, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-73788-7_10
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DOI: https://doi.org/10.1007/978-3-030-73788-7_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-73787-0
Online ISBN: 978-3-030-73788-7
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