Issue N^{o} 1, 1984 
DESIGN1NG GAS DYNAMIC EQUATION MODELS USING KINETIC AND INTERNAL ENERGY MUTUAL CONVERSION IN THE CONTINUUM
V.N. Isaev, I. D. Sofronov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 37.
A method for an equationofmot ion space approximations in 1D and 2D gas dynamic problems is presented. It is shown that a technique for approximating the equations of motion with a space variable is defined by choosing a representation of an elementary volume kinetic energy.

DIFFERENCE SCHEME CONVERGENCE AND STABILITY FOR REGIONBYREGION COMPUTATIONS O. M. Kozyrev VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 813.
A method is proposed for estimating the convergence and stability of difference schemes with exchangeable boundary conditions assuring a single region computation at a time. The stability and convergence are studied in terms of special energy norms generated by the difference scheme operators. For a difference scheme which approximates a 1D linear heat conduction equation, a set of parameters is described that serve as exchangeable boundary conditions which cause the stability to occur in the energy norms considered. Some cases of the initialvalue problem and mixed initialvalue problem having first, second, and third order external boundary conditions are examined. For the mixed initia1va1ue problem with first order external conditions, the differencetoexact solution convergence is proved for norms consistent with the L_{2}norm in a continuous argument, function space.

THE RTT PROGRAM PACKAGE FOR NEUTRON AND THERMOPHYSICAL CALCULATIONS OF A NUCLEAR REACTOR WITH SOLID COOLANTS V. T. Gukov, R. P. Fedorenko, I. L. Chihladse VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 1417.
The RTT package is designed to accomplish 3D neutron, thermal, and combined neutronthermophysical calculations, to compute the critical core size, and to evaluate the campaign depending on fuel burn out in solid coolant reactor systems using the BESM6 computer. To describe a neutron field a twogroup diffusion approximation is introduced and twogroup constant spacedependence on the fuel temperature and burn out is taken into account. The temperature distribution is described by a heat conduction equation with respect to the solid coolant reactor specific features. Twogroup constants such as temperature, initial concentration, and burn out depth functions are provided in a tabular form using a 69group constant library. The RTT package is a specialized one, that is oriented only to a solid coolant reactor calculation which is due to its geometry and physical features and also to the computer limitations.

SOME ASPECTS CONCERNING THE NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOS INITIAL DATA USING A FINITEDIFFERENCE METHOD V. Ya. Urm VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 1824.
Several aspects concerning an asymptotic behavior of partial differential equation solutions are considered. Running waves behavior is studied including their locations and discontinuity "smear” criteria. Appropriate formulae are obtained which are applied to a number of difference schemes being investigated. The method proposed is generalized onto 1D and 2D system of difference equations.

A METHOD FOR SOLVING A RADIANT HEAT CONDUCTION EQUATION ON IRREGULAR GRIDS A. I. Panov, V. V. Rasskazova VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 2528.
An implicit scheme for solving a radiant heat conduction equation on irregular grids is considered. A group relaxation method was used to solve a difference equation.

THE WORK FUNCTION OF AN ELECTRON EMITTED FROM METALLIC HYDROGEN A. G. Shklovsky, M. L. Miller VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 2932.
The spectrum and the work function of an electron emmited from hypothetical metallic hydrogen single crystal is studied in OZKmodification. Equilibrium grid parameters are estimated for the same crystal. The correlation energy is taken into account by the GellMannBruckner approximation.

SOLVING THE HARTREEFOCK EQUATION IN A CRYSTAL A. G. Shklovsky VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 3336.
An algorithm is developed to solve the HartreeFock equation in a crystal with any preset accuracy. Selfconsistent HartreeFock potential matrix elements are calculated for a hypothetic metallic hydrogen crystal in OZKmodificat ion.

DYNAMICS OF THINWALL CAMERAS SURROUNDED BY A LIQUID UNDER PULSE LOADING S. M. Bakhrah, A.V. Pevnitsky, G. P. Simonov, V. P. Soloviev VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 3740.
The paper discribes a method for computing the dynamics of thinwall hardened rotation shells contacting with a fluid under pulse loading conditions. The main equations are given and a finitedifference scheme is constructed. The method performance is exemplified by an axisymmetric camera housing deformation problem.

USING A QUASI ANALYTIC INTERPOLATION METHOD TO FIND A CRITICAL PARAMETER O. I. Butnev VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 4144.
Some techniques to find an eigenvalue of a timedependent kinetic equation using a stabilization method are given. The method features are compared with those developed by other authors. Numerical results are presented.

A PROGRAM FOR SOLVING A 2D STATIONARY TRANSPORT EQUATION P. A. Avdeev, V. A. Shumilin VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 4548.
A technique and a FORTRANsubroutine are described for a numerical solution of a stationary onegroup neutron transport problem assuming an axial symmetry. The subroutine calculates a new approximation and corresponding quasidiffusion coefficients using a predetermined neutron density approximation. The subroutine communicates with the external environment through parameters, so it may be easily included in any FORTRANprogram.

INOK: A PROGRAM FOR NUMERICAL INTEGRATION OF GAS DYNAMICS AND "ODNOMERNY COMPLEX" PACKAGE R. Ya. Gatilova, T. G. Ivchenko, N. I. Leonova, L. M. Sidorova, Z. V. Suraeva VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 4954.
An application program from the "Odnomerny Complex" package is described which is designed to calculate a 1D timedependent flow taking into account the impact of nonlinear heat conduction and external energy sources. Gas dynamics equation integration uses a through finitedifference method with artificial viscosity (a "crest"type scheme). The energy equation is approximated by an implicit fourpoint difference scheme which is first order accurate in time. Four selfsimilar problems were used to compare numerical solutions obtained with selfsimilar ones.

COMPARING lD HOMOGENEOUS GDL CALCULATIONS WITH EXPERIMENTAL DATA B. A. Vyskubenko, Yu. N. Deryugin, S. P. Ilyin, G. A. Kirillov, S. B. Kormer, Yu. V. Kolobyanin, B. P. Tikhomirov, E. A. Kudryashov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 5558.
The paper presents some results obtained from comparing theoretical and experimental energy characteristics of homogeneous GDL. The model taking into 52 account shock jumps in a real flow is shown to agree well with experimental data.

COMPARING 2D MIXING GDL CALCULATIONS WITH EXPERIMENTAL DATA. PART II. A 3D GRID B. A. Vyskubenko, Yu. N. Deryugin, Yu. V. Kolobyanin, S. B. Kormer, B. P. Tikhomirov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 5961.
A cylinder model is proposed for computing flow parameters and generation power of a mixing GDL with D nozzle grid. The comparison between predictions and experimental data is carried out. The model proposed is shown to be suitable for a quantitative description of the generation power.

PROCEDURES FOR LARGE PROGRAM DEVELOPMENT IN ES OS P. A. Avdeev VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1984. No 1. P. 6263.
The paper briefly describes a set of cataloged procedures written in the ES OS command language which were used to develop a sufficiently large program. These allow module text editing, its translation, link editing, and independent execution of modules. To use similar procedures for a new program development, they need to be modified and given different names.

[ Back ] 