42 citations
- Altai State UniversityRU3 papers
- Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences"RU2 papers
- Instituto de PescaBR1 paper
- Tver State UniversityRU1 paper
- Universidade Estadual Paulista (Unesp)BR1 paper
- University of LisbonPT1 paper
- University of Massachusetts AmherstUS1 paper
12 papers
On face angles of tetrahedra with a given base
E. V. Nikitenko, Yu. G. Nikonorov
Let us consider the set of all tetrahedra with a given non-degenerate base in and lying outside the plane . Let us denote by…
The extreme polygons for the self Chebyshev radius of the boundary
Evgenii V. Nikitenko, Yurii G. Nikonorov
The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a g…
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…
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…