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Issue No 2, 2004


ARCHITECTURE MODEL OF A SCIENTIFIC COLLECTIVE BODY

I. D. Sofronov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2004. No 2. P. 5-39.

A role of a scientific collective body architecture and its effect on the efficiency of collective body work are studied with the use of computer simulation. Each scientist is characterized by two parameters: a volume of his professional knowledge and a rate of its increase. A volume of professional knowledge increases either through individual work of a scientist or through his contacts with colleagues. It is shown, that if a chief of a collective has managed to arrange a friendly creative atmosphere stimulating scientists to exchange their knowledge, then a volume of a collective knowledge may increase faster, than that of the most talented scientist, working individually. It is natural, that a rate of accumulating collective knowledge depends on both a collective body size and its architecture.
Under the assumption that the scientists are equally talented several cases are treated, when some scientists help the chief to evolve an official theory and some of them deal with a theory, negating an official one.




GRID DATA PROCESSING ON DISTRIBUTED COMPUTER SYSTEMS

M. V. Yakobovskiy
VANT. Ser.: Mat. Mod. Fiz. Proc. 2004. No 2. P. 40-53.

The paper deals with algorithms and methods of processing data, specified on unstructured multidimensional grids of large size, on multiprocessor systems. Some algorithms are discussed for pyramidal grids refinement, rational partition of unstructured grids, compression of triangulated surfaces and 3-D data visualization in distributed systems.




ACOUSTIC INSTABILITY OF COMBUSTION CHAMBERS OF SOLIDROCKET ENGINES

V. F. Akhmadeev, S. V. Sukhinin, O. B. Khairullina
VANT. Ser.: Mat. Mod. Fiz. Proc. 2004. No 2. P. 54-64.

A method has been developed for predicting resonance phenomena in combustion chambers so as to exclude, by means of different constructive techniques and even on the stage of design, the vortex generator of acoustic pressure oscillations in the above chambers. An algorithm for Strukhal numbers definition in the combustion chambers of solid-fuel reactive engines on the basis of numerical and semi-empirical investigations has been developed.
For the purpose of numerical modeling of subsonic gas flows in combustion chambers a finite-difference iterative method has been proposed. The use of non-orthogonal optimal curvilinear grids and special approximation of equations allowed a reliable diagnostics of vortex generation zones in the subsonic parts of gas cavities in chambers and estimation of the influence of gas dynamics parameters and constructive chamber properties on the velocity and pressure fields and on the stationary large scale vortexes generation in a flow.




ONE WAY TO CONSTRUCT A COMPLETELY CONSERVATIVE DIFFERENCE SCHEME OF GAS DYNAMICS IN LAGRANGIAN VARIABLES

N. S. Es'kov, Ja. V. Pronin
VANT. Ser.: Mat. Mod. Fiz. Proc. 2004. No 2. P. 65-78.

A completely conservative difference scheme of gas dynamics in Lagrangian variables in a planar case is constructed. The difference operators GRAD and DIV have simple, convenient form. An artificial viscosity is entered into the scheme in two directions, therefore the shock wave is "smeared" over equal amount of cells, irrespective of a movement direction even with the use of strongly elongated cells. In one-dimensional case viscosity is gained in a form of some nonlinear combination of linear and quadratic viscosities.
The results of numerical calculations are given. In all 2-D problems relating to gas dispersion in vacuum, the results of calculations by a completely conservative scheme are more accurate than the results obtained by divergent and non-divergent schemes.




AN EFFECTIVE METHOD FOR METRICS INTRODUCTION ON A SET OF CONTINUOUS CMM-AUTOMATIONS

I. L. Mazurenko
VANT. Ser.: Mat. Mod. Fiz. Proc. 2004. No 2. P. 79-88.

A well-known conception of a continuous concealed Markov model (CMM) is stated in the language of probabilistic automations. A metrics is introduced on a set of continuous CMM-automations. A method is presented for effective metrics calculations for a broad class of continuous CMM-automations, generalizing results gained by the author for discrete CMM-automations.




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