The problem of modeling water areas with «liquid» (open) lateral boundaries is discussed. The mathematical model of the Baltic Sea circulation, developed in INM RAS, is considered. It is based on the system of thermohydrodynamic equations in the Boussinesq and hydrostatic approximations. The splitting method is used for time approximation in the model. Temperature (salinity) assimilation problem is investigated and solved for reconstructing unknown functions in boundary conditions at open boundaries. The domain decomposition method was used for acceleration of the assimilation procedure.
In the present paper the problem of non-interacting ideal gas kinetic model construction is considered. The direct simulation Monte Carlo method was used for the problem solution. Results of
statistical estimates derived from numerical simulation were presented. These results were compared with the analytic solution. Numerical error depending on particles and computing experiments were researched.
Results of nanocomposites deformation numerical modeling are shown. Large difference in the values of mechanical characteristics at the interface between the matrix and the inclusion is typically for such kind of materials. This problem was solved with using finite elemental complex ANSYS by means of server processors and video cards TESLA. The analytical method – the dual variational formulation of the elasticity problem – was realized for verification of numerical model. Due to results in this paper we can get estimates of nanocomposites mechanical properties, which are important for model construction from such material.
Existing method of automatic tracking of moving objects in the video stream in real time is described in the paper in relation to the task of person’s recognition from his face image. A method of face tracking in the video stream based on a combination of the background subtraction method and the Viola-Jones algorithm for the face area detection in the frame and reducing requirements for computing resources of person’s recognition systems is proposed. Results of testing the proposed face tracking algorithm in the video stream are shown.
In this paper we propose method for estimating and analysis measurements of delays in the computational cluster interconnection subsystem. Delays are combined into the set of pairs (source, destination). We have measurements of delays extracted by network_test2 utility from interconnections of following supercomputers: BlueGene/P, Lomonosov-1, Lomonosov-2 (Lomonosov MSU) and Jurope (Julich). We have clustered pairs of delays by DBscan and Divisive algorithms. Results of clusterisation revealed that DBScan is more accurate algorithm then divisive and allows to extract clusters, which correspond to the actual features in the supercomputer interconnections. Clusters gather near the same components of supercomputer network infrastructure. Gained clusters were visualized in 2-D by special tool, developed by authors.
The paper covers the development of adaptive methods for solving convection-diffusion problems. For this class of problems a version of minimal correction adaptive modified alternating-triangular method was developed, as well the convergence rate of the method was analytically estimated. Numerical results have been presented for solving real hydrodynamical problem in shallow water using parallel algorithm of developed method.
A comprehensive method for automatic detection layers of the cortex and brain cells from images of mouse cortex sections stained according to Nissl is proposed. A table is given linking the values of 11 descriptors of 4 types of brain cells with the number of the cortex layer. Since the reconstruction of the boundaries of layers, the method allows to detect astrocytes and 3 types of neurons. After cell localization, which plays of importante role for algorithmization, the segmentation procedure defines the cell boundary via the Canny method and uses the descriptors' values for the layer.
