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RUSSIAN FEDERAL NUCLEAR CENTER 
ALLRUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS 

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Issue N^{o} 2, 2012  SMOOTHING ALGORITHMS OF VELOCITY FIELD PERTURBATIONS AS APPLIED TO D SIMULATIONS
Yu. D. Chernyshev, I. A. Odintzova, I. I. Murugova VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 315.
Described here are algorithms of quadratic and new linear velocity smoothing implemented in the framework of D technique. Three algorithms of inner energy simulation required for total energy conservation, are described. Perturbation (bad cells) algorithm is suggested to avoid velocity field perturbation, the socalled sandglass, as well as the increase criterion of angular and contour linear smoothing required to reduce bad cells. Given here are test results using the algorithms suggested. Key words: D technique, gas dynamics, velocity smoothing, stability, 2D simulations.
 ON THE DIFFERENCE SOLUTION CONVERGENCE OF TURBULENT MIXING EQUATIONS WHEN MIXING ZONE INTERACTS WITH SHOCK WAVE D. I. Bobrovskiy, I. V. Bolshakov, A. N. Razin VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 1624.
The new approach for converging difference solution of turbulent mixing equations when shock wave interacts with mixing zone, is suggested. Converging solution algorithm is implemented in the framework of V. V. Nikiforov model using VIKhR and ARKTUR methods, meant for 1D flow simulation accounting for turbulent mixing. Simulation results of Poggi experiment (1998) using sequence of refining grids are given to verify the efficiency of new approach; the simulation method is set. Key words: shock wave interaction with mixing zone, solution convergence, Poggi experiment simulation.
 SHEAR STRENGTH RELAXATION MODEL OF FIVE METALS (ALUMINUM, BERYLLIUM, COPPER, TANTALUM, URANIUM) B. L. Glushak, I. N. Ignatova, S. S. Nadezhin, V. A. Raevskiy VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 2536.
The defining relation is given for five metals  aluminum alloy AIa6, beryllium, copper I1, tantalum TVCh (highpurity tantalum), natural uranium. Phenomenological elastoplastic relaxation model is used for deviator component of shear stress. Stress tensor component spherical component is given in equation of state in MieGruneisen form. Melting temperaturedensity relationship is given in terms of Lindeman equation. The model considers strain and compression hardening, thermal softening, deformation rate sensitivity, change from sliding to twinning at highvelocity deformation, and describes elastic strain relaxation. Equation parametrical identification was carried out in terms of a large number of experiments. Key words: model, hardening, viscosity, temperature, relaxation, shock wave, highvelocity deformation, parameters.
 ON EQUIVALENCE PROOF OF BOLTZMANN INTEGRODIFFERENTIAL LINEAR KINETIC EQUATION AND INTEGRAL TRANSPORT EQUATION OF PEIERLS EQUATION TYPE A. N. Subbotin VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 3750.
A nonconventional derivation of the linear integrodifferential Boltzmann transport equation on the basis of the integral Peierls transport equation is presented. The geometrical meaning of various forms of the transport equation resultant from such derivation is discussed. Key words: linear transport theory, linear integrodifferential transport equation, integral equation of particle transport.
 ON ONE ALGORITHM OF COALESCENCE OF KINETIC EQAUTION AND P_{1}APPROXIMATION RADIATION TRANSFER EQUATION N. G. Karlykhanov, N. V. Selivanova VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 5163.
The applicability domain of the algorithm of coalescence of kinetic equation and P_{1}approximation radiation transfer equation was analyzed. The definition of inner boundary conditions at coalescence point is considered. The automatic selection criterion for coalescence point is suggested. The applicability of the algorithm suggested was analyzed in terms of a number of method problems. Key words: radiation transfer, P_{1}approximation, coalescence.
 MIMOZAND3D TECHNIQUE. 3D RADIATION SPECTRUM TRANSFER SIMULATIONS A. V. Babanov, S. A. Bel`kov, S. V. Bondarenko, V. V. Vatulin, I. A. Vinokurov, I. N. Grechishkina, V. V. Zmushko, T. B. Izmailova, A. I. Mitrofanov, N. A. Ryabikina, B. N. Shamraev VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 6472.
Considered here is threedimensional MIMOZAND3D code which allows simulation of processes requiring combined computations of hightemperature emitting plasma motion, radiation plasma transfer in approximation of multigroup diffusion and ionization kinetics using two atom models. The technique allows consideration of effects of unsteady nonequilibrium spectrum transfer of xradiation. The basic equations used in the technique are described, difference approximation of 3D diffusion equation is given. 3D simulation results are given. Key words: laser radiation, 3D diffusion, radiation spectrum transfer twotemperature gas dynamics, target, shock wave, nonhomogeneity, smoothing.
 1D MODEL OF HELIUM LEAKING IN VVER REACTOR ABSORBER ELEMENTS V. V. Svetukhin, A. S. Kadochkin, V. D. Risovanyi VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 7377.
Theoretical model is developed to describe helium leaking through boron carbide powder in reactor absorber element. Helium leaking character was studied using the model developed in terms of experimental data and permeability coefficient of carbide powder without burning and after development. Key words: boron carbide, permeability coefficient, burning.
 GENERALPURPOSE COMPACT SUPERCOMPUTER Yu. G. Bartenev, V. G. Basalov, A. M. Vargin, V. I. Vyalukhin, N. A. Dmitriev, D. A. Zhukov, V. I. Igrunov, Yu. N. Korzakov, V. V. Koshelev, V. N. Lashmanov, Yu. V. Logvin, A. N. Petrik, A. G. Selaykin, G. P. Semenov, V. N. Stryukov, A. Yu. Ushakov, A. I. Chaika, S. I. Chernykh, R. M. Shagaliev, A. V. Shatokhin, S. N. Shlykov, A. L. Shmakov, D. R. Yarulin VANT. Ser.: Mat. Mod. Fiz. Proc. 2012. No 2. P. 7889.
At present, highperformance computation systems are beginning to play more prominent part in production process of hightechnology enterprises of key industries in Russia. Heavy expenses connected with complex engineering services, high energy consumption and renting and maintenance of a large airconditioned room are one of the main constraining factors on their application. The article is concerned with the generalpurpose compact supercomputer with teraflops performance (one billion of doubleprecise floatingpoint operations per second). This supercomputer is positioned like an ordinary tool of designer, process engineer or researcher for highperformance computations. This super computer is comparable to 40 new personal computers in performance despite the small size. Key words: compact supercomputer, highperformance computations, airfluid cooling system, softwarehardware monitoring of hardware and software components, switchless environment of interprocessor exchange.
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