56 citations · 268 across the 20 of their papers we have counts for
20 papers
An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study
Firas Dhaouadi, Sergey Gavrilyuk
In this paper, we present a new model for heat transfer in compressible fluid flows. The model is derived from Hamilton's principle of stationary action in Eulerian coordinates, in…
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: applications to the Serre-Green-Naghdi equations
Sergey Tkachenko, Sergey Gavrilyuk, Jacques Massoni
In this paper we study two multidimensional nonlinear dispersive systems: the Serre-Green-Naghdi (SGN) equations describing dispersive shallow water flows, and Iordanskii-Kogarko-W…
Long nonlinear internal waves and mixing in a three-layer stratified flow in the Boussinesq approximation
Alexander Chesnokov, Sergey Gavrilyuk, Valery Liapidevskii
A one-dimensional long-wave model of an unsteady three-layer flow of a stratified fluid under a lid is proposed, taking into account turbulent mixing in the intermediate layer. In…
Rankine--Hugoniot conditions for fluids whose energy depends on space and time derivatives of density
S. L. Gavrilyuk, Henri Gouin
By using the Hamilton principle of stationary action, we derive the governing equations and Rankine-Hugoniot conditions for continuous media where the specific energy depends on th…
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
Simone Chiocchetti, Ilya Peshkov, Sergey Gavrilyuk +1
In this work, we introduce two novel reformulations of a recent weakly hyperbolic model for two-phase flow with surface tension. In the model, the tracking of phase boundaries is a…
Variational formulation for models of shear shallow water flows and ideal turbulence
Sergey Gavrilyuk, Henri Gouin
The shallow water equations without shear effects are similar to the gas dynamics equations with a polytropic equation of state. When the shear effects are taken into account, the…