Issue N^{o} 1, 1993 
ELISA: A MONTE CARLO CODE FOR CALCULATION COMBINED PHOTON, ELECTRON АND POSITROH TRANSPORT
E.N. Dоnsкоу VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 36.
ELISA is a Monte Carlo code designed for a broad class oi photon, electron and positron transport problems. A system of linear time dependent Boltzmann equations is solved involving spectral constants. Electron and positron transport equations use the catastrophic collision scheme that describes smallangle collisions in terms of FockerPlanck approximation. Computation efficiency increase methods and ELISA capabilities are examined.

DEVELOPING TEST PROBLEMS FOR CONSTRUCTION OF 2D REGULAR GRIDS G.P. Prокоpоv VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 713.
A technology is developed to calculate parametric square mapping on a variety of domains using a pair of elementary harmonic functions. Conditions for mapping univalency are studied and examples are given to illustrate its loss. A small number of control parameters allows to vary conveniently the domain geometries. A PC implementation of the algorithm can be used as a test problem generator for checking and comparing the methods for 2D regular grid developments.

CONSERVATIVE FINITE DIFFERENCE SCHEMES FOR PARABOLIC AND ELLIPTIC EQUATIONS ON CURVILINEAR MESHES V.T. Zhuкоv, O.B. Feоdоritоva VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 1418.
In this work the new discretization method of twodimensional parabolic and elliptic differential equations is presented. This method is a special version of the well known balance method and can be applied for finite difference approximation equation in the region with curvilinear boundary and on the non uniform curvilinear meshes. For timediscretization of the parabolic equation we use the explicititeration scheme with Chebyshev parameters. This method may be generalized to the threedimensional cane.

NEUTRON ENERGY SPECTRUM ESTIMATION FOR THE LAYERS OF THE MULTILAYER WIGNERSEITZ CELL V.P. Gоrelоv, G.G. Farafоntоv VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 1923.
Estimation procedure is proposed for energy dependence of a neutron flux in the layers of the multilayer WignerSeitz cell. The knowledge of this dependence is necessary to calculate group neutron constants of a heterogeneous reactor.

EGAK PROGRAM COMPLEX. A GASDYNAMIC FINITEDIFFERENCE EULERVARIABLE SCHEME A.A. Shanin, Yu.V. Yanilkin VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1.. P. 2430.
Critical points are given for construction of gasdynamic finitedifference Eulervariable schemes implemented within the EGAK complex. Difference schemes are intended for calculations of twodimensional flows in a multicomponent medium (consisting of several materials each governed by its own equation of state) which are characterized by strong deformations. The concentration method is used to localize and to prevent the computational diffusion of contact boundaries. Computational results for several problems are given.

STABILITY AND CONVERGENCE OF THE ROMB FINITEDIFFERENCE SCHEME FOR COMBINED SOLUTION OF ENERGY AND RADIATION TRANSPORT EQUATIONS USING P_{1}APPROXIMATION A.D. Gadzhiev, A.A. Shestакоv VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 3137.
For some difference scheme from the ROMB parametric family, stability and convergence are shown in grid spaces L_{2} and С when the energy equation and radiation transport timedependent equation are solved together. The proof is given for the linear case where the inner material energy is proportional to the fourth power of temperature.

DARBOUXTYPE OPERATORS FOR ONEDIMENSIONAL GAS DYNAMICS V.E. Shemarulin VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 3843.
The linear differential operator la found that generalizes the operator called Darboux operator by the author which is well known in onedimensional polytropic gas flow theory. The operator found relates linear equations obtained from equations of onedimensional plane isentropic gas dynamics written in Eulerian and Lagrangian variables in the case of arbitrary equation of state using Legendre transformation. The problem of existence of a similar operator is solved for a special class of second order linear equations being natural generalization of linearized onedimensional gas dynamics equations. The existence of all these operators is shown to be provided by the corresponding equations invariance with respect to transformations analogous to Galilean transfer.

UNIFIED SYSTEM FOR COMPUTING EQUATIONS OF STATE THERMODYNAMIC FUNCTIONS G.I. Vоrоnоv, M.I. Kaplunоv, V.I. Klenоva, V.I. Legon´kоv, N.I. Leоnоva, V.A. Murashkina, A.T. Sapozhnikov, V.P. Sокоlоv, Z.V. Surayeva VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 4447.
General structure and functional capabilities of unified system for computing thermodynamic functions of equations of state independent both on application program and computer type are described.

NUMERICAL FINIТЕЕLEMENТ SIMULATION OF TRANSPORT PROCESSES IN AXIALLY VARYING GEOMETRY CHANNELS А.А. Коchubеy VANT. Ser.: Mat. Mod. Fiz. Proc. 1993. No 1. P. 4852.
A finiteelement algorithm is presented for calculation of flow and heat transfer parameters in complex shape channels with axially varying geometry (diffusor/confusor channels). Velocity and pressure fields are computed in channels.

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