Ustyugova, G. V. Koldoba, A. V.
Published in
Mathematical Models and Computer Simulations

AbstractThe paper proposes a computational algorithm for the numerical simulation of two-dimensional magnetohydrodynamic (MHD) flows, using a symmetry analyzer as an element of the numerical method. The algorithm is based on a finite-volume Godunov-type scheme with an approximate solution of the Riemann problem for calculating flows. A polar mesh i...

Shestakov, A. A.
Published in
Mathematical Models and Computer Simulations

AbstractAt present, numerical modeling is the main, and often the only, tool for a detailed description of some physical phenomena in the research of the processes of compression of substances by shock waves. Studying the behavior of shock waves and rarefaction waves on the simplest model tests helps in the analysis of more complex calculations on ...

Bobkov, V. G. Bondarev, A. E. Bondarenko, A. V. Galaktionov, V. A. Zhukov, V. T. Manukovskii, K. V. Novikova, N. D. Feodoritova, O. B.
Published in
Mathematical Models and Computer Simulations

AbstractThe methodology and results of parametric studies of vertical-axis wind turbines (VAWTs) based on three-dimensional aerodynamic calculations are presented. For a model wind turbine with three twisted blades, the dependence of the torque on the wind speed, the speed of rotation of the turbine, and on the variation of geometric parameters tha...

Bakhvalov, P. A. Kozubskaya, T. K.
Published in
Mathematical Models and Computer Simulations

AbstractWhen solving multidimensional problems of gas dynamics, finite-volume schemes using complete (i.e., based on a three-wave configuration) solvers of the Riemann problem suffer from shock-wave instability. It can appear as oscillations that cannot be damped by slope limiters, or it can lead to a qualitatively incorrect solution (carbuncle eff...

Belov, A. A. Dimakov, V. S. Kozlitin, I. A.
Published in
Mathematical Models and Computer Simulations

AbstractAn algorithm for calculating the plasma composition based on the improved Raizer method is described in detail. The results of calculations by this method and by solving the system of the Saha equations, taking into account the degeneracy of electrons, are compared. A method of solution of scalar equation is proposed, which is just as relia...

Chukwu, C. W. Nyabadza, F.
Published in
Mathematical Models and Computer Simulations

AbstractAwareness programs by the media play a pivotal role in the control of infectious diseases. In this paper, we formulate and analyse a mathematical model for listeriosis incorporating aware individuals. Mathematical analyses of the model are done and equilibrium points determined. The model has three equilibria; namely; the disease-free, the ...

Martynov, S. I. Tkach, L. Yu.
Published in
Mathematical Models and Computer Simulations

AbstractBased on the experiments on the movement of a Pt/Au bimetallic rod in a hydrogen peroxide solution, a model of the hydrodynamic mechanism of such movement is proposed. The proposed model is based on the equations of the hydrodynamics of a viscous fluid and the dynamics of particles and takes into account the hydrodynamic interaction of all ...

Baev, A. V.
Published in
Mathematical Models and Computer Simulations

AbstractThe problem of the propagation of waves of small amplitude on the surface of shallow water in a reservoir of variable depth is considered. The Korteweg-de Vries (KdV) equation with a variable coefficient taking into account both the bottom profile and the geometric divergence of waves is obtained from the system of shallow water equations. ...

Volkov, Yu. A. Dmitriev, A. S. Markov, M. B.
Published in
Mathematical Models and Computer Simulations

AbstractCorrections to the harmonic approximation are obtained for the first order of the theory of hyperelasticity in the relaxation approximation for a cubic crystal. The Vlasov equation is constructed for a collisionless gas of phonons in a self-consistent deformation field. Collisions of phonons are considered in the relaxation approximation to...

Andrushchenko, V. A. Goloveshkin, V. A. Syzranova, N. G.
Published in
Mathematical Models and Computer Simulations

AbstractBased on the equations of the classical linear theory of elasticity, a model problem of the stress-strain state of an elastic cylinder simulating a meteoroid falling in the atmosphere with a thin surface layer heated due to thermal loads is formulated and analytically solved. The influence of an inhomogeneous temperature field on this proce...