107 citations · 3.2k across the 144 of their papers we have counts for
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Velocity and energy relaxation in two-phase flows
Yannick Meyapin, Denys Dutykh, Marguerite Gisclon
In the present study we investigate analytically the process of velocity and energy relaxation in two-phase flows. We begin our exposition by considering the so-called six equation…
Two-fluid barotropic models for powder-snow avalanche flows
Yannick Meyapin, Denys Dutykh, Marguerite Gisclon
In the present study we discuss several modeling issues of powder-snow avalanche flows. We take a two-fluid modeling paradigm. For the sake of simplicity, we will restrict our atte…
On the relevance of the dam break problem in the context of nonlinear shallow water equations
Denys Dutykh, Dimitrios Mitsotakis
The classical dam break problem has become the de facto standard in validating the Nonlinear Shallow Water Equations (NSWE) solvers. Moreover, the NSWE are widely used for flooding…
Mathematical modeling of powder-snow avalanche flows
Denys Dutykh, Céline Acary-Robert, Didier Bresch
Powder-snow avalanches are violent natural disasters which represent a major risk for infrastructures and populations in mountain regions. In this study we present a novel model fo…