5 citations · 10 across the 8 of their papers we have counts for
8 papers
Competing instabilities in wide-gap viscoelastic Taylor-Couette flow: Taylor vs. helical vortices
Alexander Proskurin
This paper presents a numerical study of the stability of a polymer solution flow between concentric cylinders with a rotating inner cylinder. The case of a small-radius inner cyli…
Linear stability of flow in a 90-degree bend
Alexander Proskurin
The paper considers a two-dimensional flow in a channel, which consists of straight inlet and outlet branches and a circularly 90-degree curved bend. An incompressible viscous flui…
Mathematical modelling of an unstable bent flow using the selective frequency damping method
Alexander V. Proskurin
The selective frequency damping method was applied to a bent flow. The method was used in an adaptive formulation. The most dangerous frequency was determined by solving an eigenva…
A numerical approach for transient magnetohydrodynamic flows
Alexander V. Proskurin, Anatoly M. Sagalakov
In the article the authors present a numerical method for modelling a laminar-turbulent transition in magnetohydrodynamic flows. The equations in the small magnetic Reynolds number…
The evolution of non-linear disturbances in magnetohydrodynamic flows
Alexander Proskurin, Anatoly Sagalakov
In this article the stability loss of the Hartmann flow are investigated by applying the equations for disturbances. The velocity and electric potential quasi-static MHD model is u…
A MHD reverse flow in 90 degree bend
Alexander V. Proskurin, Anatoly M. Sagalakov
A two-dimensional flow in a 90 degree bent channel is considered. A magnetic field is uniform and parallel to inlet branch of the channel. A spectral/hp element method was used for…
A spectral/hp element MHD solver
Alexander V. Proskurin, Anatoly M. Sagalakov
A new MHD solver, based on the Nektar++ spectral/hp element framework, is presented in this paper. The velocity and electric potential quasi-static MHD model is used. The Hartmann…
An example of the Rvachev function method
Alexander V. Proskurin, Anatoly M. Sagalakov
We present a Rvachev function method with the Chebysev collocation for the stability analysis of fluid flow. The strategy is to construct an approximate solution that satisfies all…