Issue N^{o} 3, 1997 
RESULTS OF COMPUTATIONS OF k_{эф} ELEMENTARY CELLS IN WWR440 AND WWR1000 REACTORS
V.P. Gorelov, A.N. Grebennikov, A.K. Zhytnik, T.L. Kostenko, S.V. Mzhachikh, G.G. Farafontov VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 39.
The results of computations of k_{эф} elementary cells of triangular fuel element lattice in reactors WWR440 AND WWR1000 obtained using the group method and MonteKarlo method are given. The influence of the technique of accounting resonance and heterogeneous effects, chemical bond in a coolant and boundary condition selection on the results of group computations is studied.

TSS PROGRAM SHELL OF THE INITIAL DATA A.N. Grebennikov, N.A. Krut´ko, S.V. Mzhachikh VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 1017.
The paper considers the principal conceptions of the universal programm shell TSS, namely: problem setting, data structure and representation, interactive user interface. System aspects of the TSS shell development as a resident data server in MSDOS environment for 32bit Fortran77 applications of the i486 processors protected mode are described.

NUMERICAL SIMULATION OF HIGHVELOCITY PROJECTILE INTERACTION WITH MULTITARGET STRUCTURE M.V. Khabibullin VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 1824.
The method of numerical simulation is proposed which in a wide range of impact velocities allows to predict the results of a projectile interaction with a plate shielded target of a finite thickness. Comparison of calculated and experimental results shows that the represented model of debris flux gives a satisfied agreement for main damage parameters of the shielded structure.

SPECTRAL XRAY RADIATION TRANSFER INFLUENCE ON THE DEVELOPMENT OF TURBULENT MIXING WITH LASER ACCELER ATION OF TARGETS V.A. Andronov, S.A. Bel´kov, G.V. Dolgoleva, L.S. Mkhitaryan, V.V. Nikiforov, A.N. Razin VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 2532.
The description of the numerical turbulent mixing model generalized for the case of nonequilibrium, nonstationary multicomponent plasma is given; this model implemented within onedimensional radiation hydrodynamics code SNDTUR. The influence of effects related to spectral xray radiation transfer on the dynamics of a multilayer target motion and turbulent mixing zone development is being studied. It is shown to what extent experiments with gases under usual conditions and computation techniques developed on their base are suitable for describing experiments with laser shell acceleration.

PARALLEL ALGORITHMS FOR NUMERICAL SOLVING 3D HYDRODYNAMICS PROBLEMS WITH ACCOUNT OF HEAT CONDUCTION USING THE TECHNIQUE OF SPLITTING BY DIRECTIONS ON COMPUTER SYSTEMS WITH SHARED MEMORY B.L. Voronin, A.A. Kazarin, S.I. Skrypnik VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 3338.
Parallel algorithms for solving 3D hydrodynamics problems with account of heat conduction on shared memory computer systems are described. The brief description of differential equations for spatial movement of a heat conducting gas and the technique for solving them is given. Three ways of parallel computation arrangement are considered. Results are given for numerical experiments on computing 3D hydrodynamics problems with heat conduction in the parallel mode on 10processor computer system MPS “Elbrus2”. The efficiency of the developed parallelization algorithms depending on a number of computational points and a number of computer system’s processors is studied.

AIRSHOCK WAVE WEAKENING BY LATTICE SYSTEM Yu. M. Kovalev, A.Yu. Cheremokhov VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 3943.
Onedimension airshock wave weakening by a system of lattices or layers of dusted gas is studied within the model of frozen gas suspension. It is shown that more efficient shock wave weakening may be gained by changes in shield’s geometric configuration with conservation of material mass rate of flow.

ON COMPUTATION OF ENERGY LOSS SPECTRA FOR ACCELERATED CHARGED PARTICLES IN MATERIAL USING QUICK FOURIER V.P. Romanikhin VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 4447.
Possibility of using quick Fourier transform for computing energy loss spectra of charged accelerated particles in material is considered. It is shown that the use of Fourier transform gives multiple saving of time in spectrum computations in comparison with usually used standart technique of numerical integration.

PLESTIMATES WITH FINITE FLOW DISPERSION AT A POINT E.N. Donskoi VANT. Ser.: Mat. Mod. Fiz. Proc. 1997. No 3. P. 4858.
For homogeneous and heterogeneous media with a similar chemical composition PLestimates with finite flow dispersion at a point are developed Two approaches to the construction of PLestimates for a homogeneous medium considered namely: the approach based on trajectory invariancy of the Markovian process related to the transport equation. The second approach allows to construct PLanalogs for well known local estimates of flow at a point, and the first one allows to develop new PLestimates prototypes of which are artificial and not used in MonteCarlo calculations. The principal features of the developed PLestimates of flow at a point are the following: imbiasedness, dispersion finiteness with rather weak limitations on the source function and functional under the approach based on invariancy of the transport equation’s Green function and computation, estimation discontinuity as a detection point function at all points of the estimated functional discontinuity. It is shown that PLestimates of flow at a point may be efficiently used for solving problems of radiation therapy. Essential (up to 100 time and higher in heterogeneous medium and more than 1000 times in homogeneous medium) computation time reduction, a possibility of computing a dose in the given points direct computation time dependance on a number of points, absence of statistical fluctuations on dose and isodose curves are to be stated as the advantages of using these estimates as comparable to standart estimates by the MonteCarlo method.

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