arXiv subjects

Yu. V. Sheretov

Publications and source records attributed to Yu. V. Sheretov.

2 recordsLinked to original sources

arXiv2004

Numerical Simulation of the Electrically Conducting Flows in the External Magnetic Field

The paper contains the original mathematical model that describes the incompressible electrically conducting fluid flows under the influence of the electromagnetic field - quasi-magneto-hydrodynamic (QMHD) equation system. Simplified inductionless approximation of QMHD system for the quasi-neutral liquid is constructed and implemented for numerical simulation of Marangoni convection in melted semiconductor suppressed by the static external magnetic field.

math-ph↗

arXiv2004

Separating Flow Behind a Back-Step. Part I. Quasi-Hydrodynamic Equations and Computation of a Laminar Flow

We demonstrate the results of the numerical modelling of a plane two-dimensional viscous incompressible flow in a channel with a back-step. As a mathematical model we take equations for a incompressible flow based on the quasi-hydrodynamic (QHD) equations. We present a phenomenological derivation of the QHD equations and show a relation of these equations to the Navier-Stokes system. We test the proposed numerical algorithm by computing of certain laminar flows

math-ph↗