Robust multigrid technique

A robust multigrid method for solving a large class of applied problems on structured grids is proposed.     

Coalescence and the initial stage of formation of nanofibers by the vapor–liquid–solid scheme

It has been shown that the diffusion interaction of growing impurity clusters within catalytic nanodroplets determines the important geometric parameters of a nanofiber. The characteristic time of coalescence of the clusters has been found.     

On the calculation of turbulent fan jets

The self-similar equations for the dynamic and temperature fields of a forced free fan jet have been numerically integrated within the framework of the standard k-ε model of turbulence. The tables of solutions obtained for the velocity, temperature, and kinetic turbulent energy of the jet, as well as the mean square of the jet-temperature fluctuations at different turbulent Prandtl numbers, are presented. The quantitative parameters of the evolution of the average and turbulent characteristics of the jet flow were determined. __________ Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 1, pp. 62–67, January–February, 2008.     

Application of the method of asymptotic expansions for analyzing free-convection jet flows

From the viewpoint of the laminar boundary layer theory, by the method of internal and external asymptotic expansions the self-similar problem on the development of a plane free-convective jet at a quadratic temperature dependence of the density has been solved. Analytical dependences of the main characteristics of the jet flow on the Prandtl number, convenient for engineering calculations, have been obtained. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 6, pp. 1142–1147, November–December, 2008.