17 citations · 35 across the 6 of their papers we have counts for
7 papers
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…
Hyperbolic model of internal solitary waves in a three-layer stratified fluid
Alexander Chesnokov, Valery Liapidevskii
We derive a new hyperbolic model describing the propagation of internal waves in a stratified shallow water with a non-hydrostatic pressure distribution. The construction of the hy…
Mixing layer and turbulent jet flow in a Hele--Shaw cell
Alexander Chesnokov, Valery Liapidevskii
A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by i…
On the velocity of turbidity currents over moderate slopes
V. Yu Liapidevskii, Denys Dutykh
In the present article we consider the problem of underwater avalanches propagating over moderate slopes. The main goal of our work is to investigate the avalanche front velocity s…
On the modelling of shallow turbidity flows
Valery Liapidevskii, Denys Dutykh, Marguerite Gisclon
In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our…
Viscosity-Stratified Flow in a Hele-Shaw Cell
Alexander Chesnokov, Valery Liapidevskii
A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with…