Published in Lobachevskii Journal of Mathematics
AbstractThe evolution of high-performance computing is associated with the growth of energy consumption. Performance of cluster computes (CC) is increased via rise in performance and the number of used processors, GPUs and coprocessors. Increment in the number of computing elements results significant growth of energy consumption. Power grids limit...
Published in Lobachevskii Journal of Mathematics
AbstractA representation of complex high-tech digital projects is proposed in the form of a directed graph that combines input, output and intermediate data with software modules into a single bundle. This representation makes it possible to consider a digital project as an informational and algorithmic unit of technical and economic interaction th...
Published in Lobachevskii Journal of Mathematics
AbstractThe problem of controlling oscillations in the vicinity of the equilibrium position of scleronomic mechanical systems with several degrees of freedom is solved. One degree of freedom is uncontrollable directly, and the rest are controlled by servos. Controllable coordinates can be both positional and cyclic. A method is proposed for finding...
Published in Lobachevskii Journal of Mathematics
AbstractThe article discusses some aspects of the object descriptions having significant innovation potential. The procedure for selecting such descriptions consists of two consecutive phases. The first phase involves generating effective search queries with a special genetic algorithm. In the second phase, the model developed determines the likely...
Published in Lobachevskii Journal of Mathematics
AbstractThe work is dedicated to the experimental and numerical study of a coupled erosion and deposition process in deformable porous media. The mathematical model is based on the theory of flow in deformable porous media with mass-variable skeleton. The experiment involves clogging of samples with clay solution and subsequent washing by injection...
Published in Lobachevskii Journal of Mathematics
AbstractThe paper is devoted to the current state and development plans of the monitoring and control system of the National Research Computer Network of Russia (NIKS). Some aspects of industry standards, best practice-based procedures and methodologies for network management, including FCAPS, eTOM, ITIL are briefly discussed. An overview of collab...
Published in Lobachevskii Journal of Mathematics
AbstractA method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of approximating the convolution kernel of t...
Published in Lobachevskii Journal of Mathematics
AbstractThe partial reuse algebraic multigrid (AMG) setup cost amortization strategy is presented for the solution of non-steady state problems. The transfer operators are reused from the previous time steps, and the system matrices and the smoother operators are rebuilt on each of the AMG hierarchy levels. It is shown on the example of modelling a...
Published in Lobachevskii Journal of Mathematics
AbstractThis article presents methods of studying profiles of parallel programs interaction with external memory of supercomputers, based on open source software, which are monitoring resources, and the execution protocols of the parallel job management system. In the article there are provided the results of the research of users’ programs execute...
Published in Lobachevskii Journal of Mathematics
AbstractThe work is devoted to the development of multiscale approach for modeling the multiphase flows of liquid and gaseous hydrocarbons in plants for the processing of organic fuels. One of the important stages of such processing is the purification of crude oil or natural gas from various kinds of contaminants (metal particles, solid organic co...
