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math.NA2022★ 1 cited
On the stability of totally upwind schemes for the hyperbolic initial boundary value problem
Benjamin Boutin, Pierre Le Barbenchon, Nicolas Seguin
In this paper, we present a numerical strategy to check the strong stability (or GKS-stability) of one-step explicit totally upwind schemes in 1D with numerical boundary conditions…
math.AP2022
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model
Matthieu Hillairet, Hélène Mathis, Nicolas Seguin
This paper is the second of the series of two papers, which focuses on the derivation of an averaged 1D model for compressible bubbly flows. For this, we start from a microscopic d…