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RUSSIAN FEDERAL NUCLEAR CENTER 
ALLRUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS 

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Issue N^{o} 3, 2011  MOLECULAR DYNAMICS DIFFERENCE SCHEMES. 2. 2D TESTS SYSTEM
V. E. Shemarulin, V. N. Sofronov, K. S. Mokina VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 315.
Described here is tests system set by authors to verify codes developed for molecular dynamics problems. The given tests system is intended to verify the resistance, accuracy and conservative properties of difference schemes, and is given as an accurate solution list for Newton, Morse potentials, modified Morse potential and LaennardJones potentials. Key tests are based on Euler and Lagrange potential for Newton potential. Exact solutions of a number of onedimensional problems are given along with twodimensional solutions.Dynamic stability problem of three bodies is considered. At present, this problem remains open in general formulation. Key words: molecular dynamics, Newton potential, classical and modified Morse potentials, LennardJones potential, manybody problem, analytical solution of 2D problems of material point motion systems, Euler collinear solutions, triangular Lagrangian solutions, libration points and the problem of their stability, Routh condition.
 NUMERICAL SIMULATION OF EXPLOSIVE COMBUSTION AND DETONATION USING EULERIAN GASDYNAMIC COMPUTATIONS Yu. V. Yanilkin, I. I. Karpenko, E. S. Gavrilova, L. I. Degtyarenko, E. A. Mavrina, O. O. Toporova VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 1628.
Described here are explosive combustion and detonation methods implemented in EGAK and TREK codes using fixed grids. Computational results of 2D problems using fixed grids are also given with detonation control programs, twocomponent model of Tarver kinetics and fourcomponent model of MorozovKarpenko kinetics. Computations were carried out with adaptive nonintegral grid. Key words: explosive, detonation, detonation velocity control, initiation time, Huygens principle, adaptive nonintegral grid, Tarver kinetics, MorozovKarpenko kinetics.
 SOLUTION OF RADIATION TRANSFER KINETIC EQUATION USING AVERAGED COSINE METHOD А. S. Egorova, N. G. Karlykhanov VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 2938.
Suggested here is the method of radiation transfer kinetic equation solution based on initial equation averaging over angle variable. As opposed to quasidiffusion method, onestep equation with photon direction averaged cosine closure was set up. Difference schemes were constructed in terms of TVD approaches. The limiters of min,mod and ChakravatiOsher types were used taken from nth times step (linear TVD scheme), as well as from (n + 1)th step (nonlinear TVD scheme). The obtained system of nonlinear algebraic equations was solved with Newton method. The applicability of the method suggested, was tested using solution of a number of method problems. Key words: radiation transfer, TVD approach, transfer onestep equations with averaged cosines.
 ENERGY MODEL OF METAL HARDENING O. N. Ignatova, V. A. Raevsky VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 3944.
Energy model of shear strength accounting for the value and rate of plastic deformation, as well as softening connected with temperature annealing and dislocation annihilation, is suggested on Baily hypothesis for connection between strain hardening and strain energy of defects. It is assumed that accumulation of strain energy of defects is determined by plastic work of deformation. The suggested model adequately agrees with experimental data available for copper up to P = 70 GPa, for aluminum up to P = 10 GPa, for tantalum up to P = 20 GPa. Key words: strength, model, hardening, deformation, shockwave.
 ON CERTAIN PECULIARITIES OF MODELS OF MULTIPHASE SOILS MECHANICS N. E. Galiullina, M. G. Khramchenkov, E. M. Khramchenkov, A. N. Chekalin, V. V. Mikhailov VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 4551.
Considered here is consolidation equation of soil under load (Florin equation) for the case of immiscible liquid saturation of soil, as well as for the case of liquid phase subsaturation of soil. Deformation detected effects important for interpretation of experimental results of compression tests for unsaturated and multiphase soils, were analyzed. The suggested models allow computation of the effect of such factors as operating time of water beds at late stage, layer discharge of storagepreserved matters, isolating layer penetration of contaminations. Key words: hydrodynamics, mass balance equation, deformations, effective stresses.
 MODIFICATION OF BOWERWATSON ALGORITHM OF TOPOLOGICALLY 2D UNSTRUCTURED GRIDS GENERATION IN THE RANGES OF ARBITRARY FORMS М. L. Sidorov VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 5262.
Suggested here is BowerWatson algorithm modification of topologically 2D triangular unstructured grid generation in the ranges of arbitrary form and connection. The algorithm consists of four parts: 1) triangulation of the reference profile; 2) minimization of geometrical measure of nonregularity; 3) minimization of topological measure of nonregularity; 4) refinement of the grid obtained (optional). Key words: unstructured (irregular) grid, triangulation, BowerWatson method, topological optimization, geometrical optimization.
 IMPLEMENTAION FEATURES OF COMMUNICATION SOFTWARE OF COMPACT SUPERCOMPUTERS WHEN USING SWITCHLESS TECHNOLOGIES D. А. Zhukov, V. М. Vyalukhin VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 6367.
Described here are implementation features of communication software for compact highperformance computer systems with application of InfiniBandbased switchless technologies. Communication software settings, as well as MPI interprocessor communication algorithms in switchless communication environment are described. These software solutions are considered as applied to compact highperformance computer system developed in RFNCVNIIEF. Key words: switchless technologies, communication software, interprocessor exchange system, InfiniBand architecture, MPIprocessor, compact supercomputer.
 UNIFIED COMMUNICATION ENVIRONMENT CONTROL USING PROGRAMINDEPENDENT COMMUNICATION SUBSYSTEMS V. G. Basalov VANT. Ser.: Mat. Mod. Fiz. Proc. 2011. No 3. P. 6874.
Described here is the software package Multi Cluster Subnet Manager, developed to manage programindependent communication subsystems as a part of the unified communication system. Mechanisms implemented in this package to detect, configure, activate and support programindependent communication subsystems are described. Key words: multiprocessor, unified communication environment, programindependent communication subsystem, logical clusterization, subnet manager.
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