Factor Model for the Study of Complex Processes

Doklady Mathematics - An original concept of building a factor model based on frames has been proposed. A method has been developed for calculating the values of factors by searching for the...     

Software package for 3D viscous gas flow simulation on multiprocessor computer systems

A parallel software package designed for the numerical simulation of three-dimensional viscous gas flows is presented. The numerical algorithm is based on kinetically consistent difference schemes used on locally refined grids. The software package has been tested in various super-and subsonic flow problems. It provides an opportunity for the direct simulation of turbulent flows. The efficiency of parallelization is analyzed depending on the problem size and the number of processors.     

Numerical solution of spectral problem of external radiation heating of matter

A method is presented for solving spectral problems of radiation in gas dynamics if the problem is independent of at least one Cartesian coordinate. The derivation is given of the corresponding averaged transport equation, and the domain of its applicability is considered. Using this methods a numerical solution is obtained of the heat spectral problem of external radiation heat falling on matter. By comparing it with a similar solution for gray matter, the part played by spectral effects [1] its illustrated.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 48–53, March–April, 1971.In conclusion, the author would like to express his thanks to V. Ya. Gol'din for showing great interest in this work and for discussing the results, and to D.A. Gol'dina for her help in preparing the numerical calculations.     

Solution of the self-adjoint radiative transfer equation on hybrid computer systems

A new technique for simulating three-dimensional radiative energy transfer for the use in the software designed for the predictive simulation of plasma with high energy density on parallel computers is proposed. A highly scalable algorithm that takes into account the angular dependence of the radiation intensity and is free of the ray effect is developed based on the solution of a second-order equation with a self-adjoint operator. A distinctive feature of this algorithm is a preliminary transformation of rotation to eliminate mixed derivatives with respect to the spatial variables, simplify the structure of the difference operator, and accelerate the convergence of the iterative solution of the equation. It is shown that the proposed method correctly reproduces the limiting cases—isotropic radiation and the directed radiation with a δ-shaped angular distribution.     

Spectral Stability Conditions for an Explicit Three-Level Finite-Difference Scheme for a Multidimensional Transport Equation with Perturbations

Differential Equations - We study difference schemes associated with a simplified linearized multidimensional hyperbolic quasi-gasdynamic system of differential equations. It is shown that an...     

Electrotechnical approximation for heavy-current radiating discharges

Discharges in chambers with continuous (solid) electrodes are considered. It is shown that if the one-dimensional MHD approximation may be applied to these, then the far simpler electrotechnical approximation is applicable to the same accuracy. Calculations relating to exploding wires are described.