Kashchenko, N. M. Ishanov, S. A. Matsievsky, S. V.
Published in
Mathematical Models and Computer Simulations

AbstractGround-based and satellite measurements, as well as numerical modeling of the spatial structure of the equatorial ionospheric bubbles are carried out quite intensively. These data show that the longitudinal and altitudinal gradients of the logarithm of the electron concentration at the vertical boundaries of the bubbles can reach values of ...

Ovchinnikov, M. Yu. Tkachev, S. S. Shestopyorov, A. I.
Published in
Mathematical Models and Computer Simulations

AbstractA mathematical model of a spacecraft (SC) with an arbitrary number of large flexible structural (appendages) elements (LFSEs) is developed, implemented, and verified. The SC model obtained based on the general equations of dynamics is written in generalized coordinates. It allows three types of articulation between the LFSEs and the SC’s bo...

Sukhanov, D. Ya. Kuzovova, A. E.
Published in
Mathematical Models and Computer Simulations

AbstractA method is proposed for the numerical modeling of acoustic processes in solids, representing a solid in the form of an array of particles in a cubic body-centered crystal lattice. The particle dynamics is described by Newton’s equations of motion. It is shown that the developed numerical model makes it possible to describe resonance phenom...

Zhalnin, R. V. Masyagin, V. F. Peskova, E. E. Tishkin, V. F.
Published in
Mathematical Models and Computer Simulations

Abstract—A numerical algorithm is presented for solving the multicomponent gas dynamics equations by the discontinuous Galerkin method on locally adaptive grids. The numerical algorithm uses a data structure and a dynamic local grid adaptation algorithm from the p4est library. We use Lax–Friedrichs–Rusanov and HLLC numerical flows. To get rid of un...

Germider, O. V. Popov, V. N.
Published in
Mathematical Models and Computer Simulations

AbstractA method is proposed to solve the linearized ellipsoidal-statistical Holway equation in the classical problem of a rarefied gas flow between two parallel planes. To approximate the desired solution, the function is expanded in a series in Chebyshev polynomials of the first kind for each variable. The Holway model kinetic equation is reduced...

Gubaydullin, I. M. Zhalnin, R. V. Masyagin, V. F. Peskova, E. E. Tishkin, V. F.
Published in
Mathematical Models and Computer Simulations

Abstract—This study carries out the numerical simulation of the propane pyrolysis process in a flow-through chemical reactor where chemical conversions are induced by the external heating of the reaction zone. Navier–Stokes equations in the approximation of small Mach numbers are used for the mathematical description of the studied processes, since...

Borisov, V. E. Rykov, Yu. G.
Published in
Mathematical Models and Computer Simulations

AbstractThe paper is devoted to numerical simulation of multicomponent gas flows based on extended Euler equations using a modified explicit Godunov-type scheme. A feature of the used algorithm is to take into account strong shock waves and occurrence of pressure oscillations at contact boundaries. This is expressed by the use of exact solutions of...

Eremin, Yu. A. Sveshnikov, A. G.
Published in
Mathematical Models and Computer Simulations

AbstractBased on the discrete sources method, a mathematical model of the plasmon nanolaser resonator deposited on the prism surface in an active ambient medium is developed and implemented, which allows taking into account the non-local effect (NLE) in the plasmon material. The resonator’s characteristics are optimized, which makes it possible to ...

Strakhovskaya, L. G.
Published in
Mathematical Models and Computer Simulations

Abstract—The paper considers a three-dimensional gas-dynamic model of a protoplanetary disk that revolves around a gravitating center. The dynamics of small perturbations in a rotational shear flow are modeled. The development of the initial azimuthal perturbations of the rotation speed leads to the formation of spiral density arms, while self-grav...

Kozlov, N. N. Kugushev, E. I. Eneev, T. M.
Published in
Mathematical Models and Computer Simulations

AbstractWe consider random changes in the standard genetic code, in which its structure is preserved, and small variations in the genetic code, in which the structure is preserved or changed. The assumption is substantiated that the standard genetic code provides the best possible overlap of genes. The structure and content of the standard genetic ...