Physics, mathematics, and technology

2016 Issue №3

Creation of the Norden normalization of the L-, E-subbundles of the SH -distribution of the projective space

Abstract

Norden 1st and 2nd kind inner normals of the L-, E-subbundle of a special class (SH -distribution) of the regular threefold distributions (H -distributions) of the projective space are constructed.

Download the article

A model of mid-scale irregularities of the low-latitude Earth ionosphere : evaluations of a non-linear correction method for the Z-scheme

Abstract

A nonlinear correction of the finite-differential scheme for solution of the cross convection-diffusion equations within models of the Rayleigh — Taylor instability in the equatorial region of the Earth ionosphere is considered. For test problems the experimental value of the approximation order of the offered method of non-linear correction of the finite-differential scheme for different types of limiters is received numerically.

Download the article

A finite differences approximation of the boundary value problem of a heat convection in the ladle with steel

Abstract

For the numerical solution of the boundary value problem of convective heat transfer in a ladle while blowing steel argon proposed finite-difference approximation of the original mathematical model of convective heat transfer in a continuous divergence form. Used stable and economical implicit monotone conservative difference scheme.

Download the article

Mathematical modeling of synthesis technologies of powder materials for the space robotics

Abstract

The production process is analyzed and a brief description of the main theoretical models of spark plasma sintering (SPS) is given. The experience of the use of numerical modeling by the finite element method (FEM) using specialized software for the study of SPS is examined. Goals and objectives of numerical simulation of the process are formulated. The main shortcomings and limitations of known methods of modeling are outlined.

Download the article