Issue N^{o} 4, 1998 
THE SOLUTION OF THE UNLIMITED NONSHOCK GAS COMPRESSION PROBLEMS IN SPECIAL FORM AREAS WITH MIMOZA CODES
V. A. Saraev VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 316.
The computed data for the unlimited adiabatic gas compression problems in a flat prismatic axially symmetric conic areas, obtained with MIMOZA codes are presented. An exact solution of this problem for the flat prismatic area and an approximate one for the axially symmetric area has been obtained by A.F. Sidorov. The computations with MIMOZA codes were carried out with the help of grid reconstruction and gasdynamic quantity interpolation in the process of calculating with algorithms without shift restrictions for grid nodes within an area. The grid reconstruction was made with observance of some grid mesh state criteria and through a given number of time steps. The computed data for a flat prismatic area are introduced in which flexible mobile piston position as well as coordinate and time pressure from analytical solution are specified as boundary conditions. The computed data for the axially symmetric conic area are presented in which coordinate and time pressure is specified on a flexible piston boudary. The computed data for the flat prismatic area are compared with an exact solution.

CONSERVATION EQUATIONS FOR TURBULENT FLOWS OF HETEROGENEOUS MEDIA Yu. M. Kovalev VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 1725.
An assumption study is presented for time averaging of the equations of heterogeneous media mechanics with small volumetric contents of condensed phases. A time assumption for appropriate equations is made and conservation laws for turbulent flows of heterogeneous media are obtained.

ORGANIC POLLUTION OF THE GROUND AND UNDERGROUND WATER Yu. N. Derygin, A. V. Kosterin VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 2630.
A short overview is given of the state in the computer modelling of the ground and underground water pollution with fluid hydrocarbons. The main properties of the fluid nonwater pollutants and porous medium, affecting the pollution are described. Hydrogeological distinctions of the hydrocarbon migration in the saturated and unsaturated seams and general preconditions of these processes modelling are given. The main scripts are underlined of the ground water primary pollutions.

COMPUTATIONAL SIMULATION OF CHEMICALLY REACTIVE IMPURITY MIGRATION M. M. Alimov, M. G. Khramchenkov VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 3135.
A new approach to the description of the forming of chemical formula for the underground water is proposed, which unites wellknown approaches of R. Berner and D. Morse, allowing to include heterogeneous chemical reactions into the model equally with homogeneous ones, and the approach of R. Shlegl and F. Gelferich, allowing to take into account the diffusion potential contribution to diffusion kinetics simulation. The model obtained has been tested according to the experimental data of R. Berner and D. Morse; experimental and calculated data agree well.

DISTRIBUTION MODELLING FOR HEAVY FLUID POLLUTIONS IN A STRATIFIED WATERBEARING SEAM V. M. Konyukhov, M. G. Khramchenkov, A. N. Chekalin VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 3643.
Mathematical formulations of the problems on the transport of heavy fluid pollutions across an inclined stratified inhomogeneous seam are given. The problems of two types are discussed, connected with migration of brines and hydrocarbonic fluids. In mathematical description of the processes a two phase filtration scheme is used. An analysis was made of a solution conduct on the layer boundaries. The computed data illustrating the characteristics of the pollution distribution in a seam are presented.

COMPUTATIONAL METHOD FOR 3D TIMEDEPENDENT GAS DYNAMICS PROBLEMS ON THE IRREGULAR LAGRANGIAN GRIDS A. Yu. Eremenko, V. N. Motlokhov, V. V. Rasskazova, I. D. Sofronov VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 4457.
The paper deals with concrete problems of the computational method development for 3D timedependent gas dynamics problems on the irregular grids, which are represented by Dirihle cells and Voronoy bodies. The equations of timedependent gas dynamics, the methods of initial grid construction and the difference scheme for solving equations are presented; a study of the possibility of retaining the cells convex during computation is performed.

TWOPARAMETER Kε TURBULENCE MODEL FOR THE HETEROGENEOUS MEDIA WITH SMALL VOLUMETRIC CONTENTS OF CONDENSED PHASES Yu. M. Kovalev VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 4. P. 5865.
Closing relations for twoparameter Kε turbulence model for the heterogeneous media with small volumetric contents of a condensed phase are presented. The equations obtained are different from the corresponding ones for singlephase flow by additional terms in the right side occured through interphase interaction effects

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