VLADIMIROV FUNUTIONAL REPRESENTATION IN TERMS OF SPHERICAL HARMONICS IN CYLINDER ROTATION-SYMMETRY COORDINATES

I. A. Adamskaya, I. N. Orlov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 3-18.

      For an arbitrary harmonics number, the Vladimirov functional is expressed in terms of spherical harmonic in cylinder, (r,z,θ,φ), and spherical, (r, θ,θ,φ) coordinates. A program is given to evaluate matrix elements, spherical harmonics, included into quadratic expressions which represent the Vladimirov functional.

O. V. Buryakov, V. F. Kuropatenko
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 19-24.

      Within the scope of local component pressure equilibrium hypothesis, an issue is considered which relates to a shock front structure in a mixture of two isothermal gases in the presence of interaction forces.
      It is found that four types of front structure are possible depending on the problem parameters relation.

V. A. Saraev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 25-38.

      An iteration-free algorithm is proposed for designing regular rectangular grids in regions with curvilinear boundaries. Point spacing on the region boundary must be preset.
      For each, boundary partitioning point of a source rectangular, we construct a vector with its end defining a point for partitioning the boundary of a nested curvilinear rectangular. The number of nested rectangulars is that of points for partitioning the boundary of an original curvilinear rectangular.

V. V. Rasskazova, V. G. Rogachev, N. F. Svidinskaya
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 39-47.

      2-D gas dynamic flows near the joint of the shell and the cone fusion target surface are studied. The main results are obtained from solving 2-D gas dynamics equations with a numerical method and from analytical solutions of the Riemann problem in the region of the shell and target surface joint. The calculations were performed for targets with apex angle, θ = 45 and 90°. and for various equations -of-state describing the target material.
      It is shown that the flow pattern may be both stationary (with θ > θ*),) and time-dependent (with θ < θ*). For cone targets under consideration, the critical angle, θ*, is defined by an equation-of-state for shell material and target walls. A time-dependent flow pattern is characterized by forming a cumulative jet propagating into the gas region.

T. A. Belkina, M. Yu. Kozmanova, E. B. Rachilov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 48-51.

      An iterative method is proposed for solving a system of energy and time-dependent spectral diffusion equations in orthogonal coordinates. Each iteration solves the energy equation for energy cell with the Newton method and a system of spectral diffusion equations with a longitudinal/transverse scheme. External iteration convergence rates are estimated for a simulation problem. Numerical results are given.

Yu. I. Aryutkin, V. F. Kuryakin, Yu. K. Semenov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 52-55.

      Many direct and inverse heat couduction problems may be reduced to convolution-type equations using the Duhamel theorem. If certain conditions are met, the Green function does not need to be calculated, instead one may use data from two similar experiments. These problem solutions are obtained in a unigue manner with a FORTRAN program.

V. P. Gorelov, G. G. Farafontov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 56-61.

      Strong formulae for transition to equivalent small -group constants are discussed. When a transition to equivalent small-group constants is accomplished, it is physically reasonable for secondary neutron numbers in scattering reactions to differ from unity. Equivalently rendering the original multigroup constants isotropic, when the original group number does not change, transport cross-sections don’t occur (that is the reaction cross-sections don’t change), secondary neutron group spectra do change, in parctiular, secondary neutron numbers for scattering reactions become different from unity.

A. V. Adeev, A. I. Orlov, A. I. Morenko
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 62-65.

      Photon transport problems for high-temperature plasma require a simulation of the Compton scattering with respect to a relativistic electron motion. In such case the transport equations are characterized by a complex nature, macroscopic process cross-sections and secondary particle distribution density are expressed via integrals. To solve a photon transport equation by the Monte-Carlo method we propose a "majorizing cross-section" technique which permits to avoid the difficulties involved in evaluating cross-sections expressed by integrals.
      Some results are qiven which were obtained from a series of spectral calculations describing a 1-D system radiation, where taking into account the compton scattering on relativistic electrons affects sub- stant ially the data.

G. A. Goncharov, E.V. Malinovskaya, G. G. Farafontov, L. V. Yakubova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 66-71.

      The KOMAR system is an ensemble of program tools for storing and handling, in various ways, elemenntary neutron constants. The general part of the system contains programming facilities for developing and implementing initial data and command lanquages along with a set of data management programs (DBMS). The KOMAR system provides data bases containing estimated, experimental, and calculated neutron and photon constants (γ-structures) for a number of modern libraries. Application programs are provided to process these data. The programs were written in FORTRAN for the BESM-6 computer.

Yu. D. Bakulin
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 72-75.

      For hydrodynamic equations.computer simulations are performed to compare explicit and implicit difference scheme timesteps suitable to maintain their stability in the case of implicit difference equations solved by simple iterations. A conclusion is made that for an implicit differnce scheme the acceptable timestep is equal to a half of that for explicit one.

V. F.Volgin, E. M. Samoylova, S. P. Santalov, N. T. Okuneva, N. V. Mayorov, Yu. I. Akutin, V. I. Samoylov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 76-79.

      The paper presents a general description of the PROTOCOL program package which accomplishes the functions of a computer - aided system for processing data on scientific applications executed within a nonhomo-geneous computer center. This is exemplified-by a program for processing data related to job execution on the ES computers. The PROTOCOL operation showed that it executes successfully the functions assigned.

S. G. Andreev, V. V. Bashurov, V. A. Svidinsky, N. A. Skorkin
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 80-85.

      A method is considered for evaluating contact discontinuity movement on Euler grids. Conditions for difference-to-exact solution convergence are given. Numerical solutions are presented for a plane wedge penetrating an elastoplastic target in an oblique manner.

V. A. Shialimov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 86-90.

      The paper describes the structure and the main implementations of a device designed to interconnect the ELEKTRONIKA-60 microcomputer with external solid- state storage devices having a "Commonbus" - type interface to the SM computer. The device allows to transform the ELEKTRONIKA-60 channel signals into those of the Commonbus to access external storage through registers which have their addresses in the upper 4K address space of a microcomputer, and to implement a stack structure of an external storage. The adapter is a 140x240 mm circuit board carrying 37 integrated circuits which occupies a single slot in the ELEKTRONIKA-60.

M. S. Skornyakov, G. S. Ignatov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 91-92.

      The paper considers one of the ways for increasing the number of displays to be connected to the ES-7566 group control device, where up to 980 characters may be displayed.
      A block-diagram of the ES-7566-8 is presented and functional units are briefly characterized.