107 citations · 3.2k across the 144 of their papers we have counts for
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Macroscopic dynamics of incoherent soliton ensembles: soliton-gas kinetics and direct numerical modeling
Francesco Carbone, Denys Dutykh, Gennady El
We undertake a detailed comparison of the results of direct numerical simulations of the integrable soliton gas dynamics with the analytical predictions inferred from the exact sol…
On the multi-symplectic structure of the Serre-Green-Naghdi equations
Marx Chhay, Denys Dutykh, Didier Clamond
In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic…
Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
For surface gravity waves propagating in shallow water, we propose a variant of the fully nonlinear Serre-Green-Naghdi equations involving a free parameter that can be chosen to im…
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
Gayaz Khakimzyanov, Denys Dutykh
In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We…
New asymptotic heat transfer model in thin liquid films
Marx Chhay, Denys Dutykh, Marguerite Gisclon +1
In this article, we present a model of heat transfer occurring through a li\-quid film flowing down a vertical wall. This new model is formally derived using the method of asymptot…