Vasilyev, V. I. Popov, V. V.
Published in
Mathematical Models and Computer Simulations

A numerical algorithm is proposed based on the fictitious domain method intended for the mathematical simulation of the freezing of melted soil saturated with aqueous salt solution. The obtained results are compared with those obtained by the technique of front capturing into the grid node and with a self-similar solution.

Popov, I. V. Fryazinov, I. V.
Published in
Mathematical Models and Computer Simulations

A finite-difference method is proposed for solving gas dynamics equations, i.e., a homogeneous, monotonous finite-difference scheme of the second- order time approximation and space variables outside the areas of discontinuities and compression waves. A new way to introduce adaptive artificial viscosity (AAV) in a difference scheme is considered. T...

Bychenkov, V. Yu. Garina, S. M. Dudnikova, G. I. Zmitrenko, N. V. Kovalev, V. F. Liseikina, T. V.
Published in
Mathematical Models and Computer Simulations

The interaction of ultrashort relativistically intense laser pulses with plasma resulting in the forward-directed harmonics generation from the rear side of a target is investigated by particle-in-cell simulation [1]. The dependences of the spectral characteristics of the electro-magnetic radiation on the laser intensity, the laser pulse duration, ...

Melnichenko, A. Romanyukha, A. A.
Published in
Mathematical Models and Computer Simulations

In this paper a mathematical model that describes the main points of tuberculosis trans-mission in Russia was constructed. The problem of adjusting the model for a number of regions of Russia was formulated. A method of estimating the model’s parameters and basic epidemiological characteristics was developed, where socioeconomic heterogeneity and t...

Kalitkin, N. N. Panin, I. A.
Published in
Mathematical Models and Computer Simulations

Calculations of electron transfer coefficients (electrical and thermal conductivities) for gas-plasma mixtures have been considered. These calculations have been made in Chapman-Enkog (ChE) approaches. To evaluate the convergence of these approximations, calculations ignoring electron-electron collisions have been carried out in parallel. The later...

Morozkin, N. D. Kolonskikh, D. M.
Published in
Mathematical Models and Computer Simulations

The investigated problem concerns temporomandibular joint stress calculation. The numerical method of finite elements is chosen for the solution of the problem. A way of dividing nonconvex three-dimensional objects with complex geometry into finite elements (tetrahedrons) is suggested. The algorithm for calculating mandibular joint stresses is work...

Ivanchenko, E. S. Kalitkin, N. N. Kuz’mina, L. V.
Published in
Mathematical Models and Computer Simulations

TEFIS is a database of data on the thermophysical properties of substances in extreme conditions, which is being developed at the Institute for Mathematical Modeling of the Russian Academy of Sciences. It is based on experimental data and original theoretical models. An important part of the database is devoted to Hugoniot adiabats. This work cover...

Sidnyaev, N. I.
Published in
Mathematical Models and Computer Simulations

The results of investigations related to aerodynamic performances of a high-speed aircraft model, the body of which is designed in the form of rotary solids consisting of different combinations of conical bodies, for example, with permeable conical blunt-nosed body, if there is an active thermal protection, central cylindrical or poorly conical seg...

Denisov, M. M.
Published in
Mathematical Models and Computer Simulations

I construct a mathematical model for the laser ranging of spacecrafts, which includes the effects of general relativity. On the basis of numerical calculation I show that relativistic effects are revealed in the laser ranging of high-apogee spacecrafts. These effects must be included in the mathematical model of astrometric space missions.

Kortov, V. S. Zvonarev, S. V.
Published in
Mathematical Models and Computer Simulations

A mathematical model and an algorithm for calculating electron transport in radiation-charged crystalline dielectrics are presented based on the consideration of the fundamental physical processes. The model has been validated by calculating specific physical processes in thin layers of SiO2 charged by electron bombardment. The calculation results ...