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RUSSIAN FEDERAL NUCLEAR CENTER 
ALLRUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS 

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Issue N^{o} 2, 2006  TURBULENT MIXING OP TWO FLOWS OF DIFFERENT DENSITIES AND VELOCITIES MOVING IN GRAVITY FIELD SUBJECT TO MIXING DISSYMMETRY
V. E. Neuvazhaev, T. V. Zabolotnikova VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 314.
Two liquids of different densities disposed in gravity field are moving with respect to each other with different velocities. Interface is unstable, it is breaking down and turbulent mixing appears. The work is devoted to theoretical investigation of turbulent mixing arising from joint action of shear and gravitational instabilities. On the basis of κεmodel analytical formula for width of turbulent mixing zone depending on initial parameters of the problem is set up: Atwood number , number , acceleration g and initial roughness L_{0}, where U_{1} and U_{2}, ρ_{1} and ρ_{2} – velocities and densities of flows, accordingly. Earlier authors derived formula for the width of turbulent mixing zone ignoring mixing dissymmetry though in fact (as experiments show) mixing occurs asymmetrically: intensity of mixing towards light matter is higher than intensity of mixing towards heavy matter. Mixing dissymmetry is incorporated in this work. Comparison of obtained formula ignoring gravitation strength with the known experimental data and computations is also carried out.
 ALGORITHMS FOR GLOBAL RECALCULATION OF GRID VALUES IN LEGAK3D TECHNIQUE S. M. Bakhrakh, S. V. Velichko, V. F. Spiridonov, T. V. Resvova, A. A. Rezyapov VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 1522.
The paper gives description of two algorithms, raster and geometric, for global recalculation of values realized in LEGAK3D complex as well as modification of raster technique. Parallelization of algorithms on computers with distributed memory is described. Results of comparison of algorithms runtime, their accuracy and effectiveness of parallelization are presented.
 COMPUTATIONAL DESING OF MICROTARGETS FOR INERTIAL HEAVY ION FUSION FACILITY G. V. Dolgoleva, A. V. Zabrodin VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 2332.
Analytic expressions for defining of cumulated energy in laminated system of covers are obtained. The law of energy deposition to the one of the inner layers of laminated system is derived under which the central layer of this system will compress in a shockfree way. It is shown how to use the idea of shockfree compression for constructing microtargets. Computations of microtargets are presented which validate considered methods.
 DEUTERIUM THERMONUCLEAR BURN WAVE IN CYLINDRICAL CHANNEL WITH URANIUM238 COVER A. G. Aksenov, M. M. Basko, D. G. Koshkarev, E. A. Zabrodina, M. D. Churazov VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 3336.
A set of computationaltheoretical assessments of propagation of deuterium thermonuclear burn wave in cylindrical channel with uranium (^{238}U) cover is considered. Possibility of reduction of operating parameter ρR (from 10 to 3 g/cm^{2}) is investigated. Development of accelerating equipment allows considering sufficiently large scale of the process (E_{0} > 100 MJ), possibility of essential approach to the mode of fuel cold compression, realization of initiating DT tablet ignition in FastIgnition mode. Essential modernization of manydimensional manytemperature program to account for neutron processes of propagation and fission of uranium238 is needed to turn from assessments to real calculations.
 ON STRUCTURE OF PROGRESSIVE WAVES IN IDEAL GAS WITH RADIATION B. P. Tikhomirov VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 3749.
Effect of radiation energy and pressure on structure of progressive waves in hightemperature gas medium is investigated. The considered automodel problem comes to differential equation depending on four parameters. It is shown that on the whole decision structure is defined by sign of heat flow in critical point that in turn depends on values of adiabatic exponent and parameter characterizing radiation field. Equilibrium state of the studied system is analyzed. It is determined that in the presence of radiation one or two subsidiary stationary points may appear; sufficient conditions are pointed when they absent. Numerical example is presented. Simple method of constructing analytical tests is suggested.
 PROGRAM DESSI FOR "MATCHING" THERMODYNAMIC FUNCTIONS AND SETTING UP SPLINE EQUATIONS OF STATE G. M. Eliseev, D. S. Kondrat’ev VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 5057.
Formulae for setting up smoothing hyperbolic splines and bisplines of the third order are presented which are used to smoothly "match” thermodynamic functions of equations of state. Program DESSI for setting up spline equations of state with the help of polynomial splines of different types is outlined. More simplified formula of thermodynamic coordination as compared to classic formula is obtained. Two algorithms of thermodynamically coordinated interpolation of thermodynamic functions of spline equations of state are realized with its help. Three variants of setting up spline equations of state are briefly described. With the help of hyperbolic bisplines matching a “trial” spline equation of state of copper is set up on the basis of thermodynamic function tables calculated by program PLAZMA4 and equations of state of G. E. Klinishov.
 HYDROPHYSICAL PROPERTIES AND ATMOSPHERIC FUNCTION OF SOILS A. N. Fakhrutdinova, M. G. Khramchenkov, P. Kh. Khramchenkova, A. N. Chekalin VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 5864.
The analysis of soil properties, including the analysis by means of mathematical simulation, is very important with relation to global ecological soil functions (biospheric, hydrospheric, lithospheric and atmospheric), as well as with relation to application point of view. Generally, besides enormous importance to agriculture, soil is the first barrier in the path of technogeneous environmental contamination. Different soil properties considerably depend on the presence of chemical impurity in its composition. Among these soil properties are also physicomorphological and thermo physical characteristics essential to atmosphere and soil mass transfer and heat exchange. It proves to be significant for further transfer of contamination which can spread in groundwater, as well as in atmosphere, where the rate of transfer is significantly higher. In the article an attempt was made to consider the complex of soil properties from the point of common systematic positions of physicochemical mechanics, which is also of great importance to analyze possible ways of contamination accumulation and transfer in soil and related Earth spheres — hydrosphere and atmosphere.
 SIMULATION OF MASS TRANSFER IN POROUS MEDIUM WITH NONLINEAR ABSORPTION PROPERTIES R. P. Fedorin, M. G. Khramchenkov VANT. Ser.: Mat. Mod. Fiz. Proc. 2006. No 2. P. 6569.
Some peculiarities of admixture transfer at filtration of solution through clay geological materials are considered. The problem turns out to be actual for designing radioactive waste depositories. An essentially new moment is that admixture dispersion effect in filterable flow is taken into account. A more complete model of mass transfer in clay materials is investigated according to the bioporous medium scheme considering mineralogical heterogeneous structure of lowpenetrable clay bloks.
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