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RUSSIAN FEDERAL NUCLEAR CENTER 
ALLRUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS 

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Issue N^{o} 3, 1985  VLADIMIROV FUNUTIONAL REPRESENTATION IN TERMS OF SPHERICAL HARMONICS IN CYLINDER ROTATIONSYMMETRY COORDINATES
I. A. Adamskaya, I. N. Orlov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 318.
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.
 SHOCK FRONT STRUCTURE IN A HETER0GENE0NS MIXTURE OF TWO ISOTHERMAL GASES IN THE PRESENCE OF COMPONENT INTERACTION FORCES O. V. Buryakov, V. F. Kuropatenko VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 1924.
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.
 DESIGNING REGULAR RECTANGULAR GRIDS IN REGIONS WITH CURVILINEAR BOUNDARIES USING THE POINTS OF CURVILINEAR NESTED RECTANGULARS V. A. Saraev VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 2538.
An iterationfree 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.
 2D GAS DYNAMIC EFFECTS FROM A SHELL MOTION IN A CONE FUSION TARGET V. V. Rasskazova, V. G. Rogachev, N. F. Svidinskaya VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 3947.
2D gas dynamic flows near the joint of the shell and the cone fusion target surface are studied. The main results are obtained from solving 2D 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 ofstate describing the target material. It is shown that the flow pattern may be both stationary (with θ > θ*),) and timedependent (with θ < θ*). For cone targets under consideration, the critical angle, θ*, is defined by an equationofstate for shell material and target walls. A timedependent flow pattern is characterized by forming a cumulative jet propagating into the gas region.
 USING A LONGITUDINAL/TRANSVERSE SCHEME FOR SOLVING A SYSTEM OF SPECTRAL DIFFUSION EQUATIONS T. A. Belkina, M. Yu. Kozmanova, E. B. Rachilov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 4851.
An iterative method is proposed for solving a system of energy and timedependent 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.
 SOLVING DIRECT AND INVERSE HEAT CONDUCTION PROBLEMS USING CONVOLUTION  TYPE EQUATIONS Yu. I. Aryutkin, V. F. Kuryakin, Yu. K. Semenov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 5255.
Many direct and inverse heat couduction problems may be reduced to convolutiontype 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.
 EVALUATING EQUIVALENT SMALLGROUP NEUTRON COSTANTS V. P. Gorelov, G. G. Farafontov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 5661.
Strong formulae for transition to equivalent small group constants are discussed. When a transition to equivalent smallgroup 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 crosssections don’t occur (that is the reaction crosssections don’t change), secondary neutron group spectra do change, in parctiular, secondary neutron numbers for scattering reactions become different from unity.
 USING "MAJORIZING CROSSSECTION" TECHNIQUE FOR SIMULATION OF PHOTON PROPAGATION WITH RESPECT TO MEDIUM ELECTRON MOTION A. V. Adeev, A. I. Orlov, A. I. Morenko VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 6265.
Photon transport problems for hightemperature 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 crosssections and secondary particle distribution density are expressed via integrals. To solve a photon transport equation by the MonteCarlo method we propose a "majorizing crosssection" technique which permits to avoid the difficulties involved in evaluating crosssections expressed by integrals. Some results are qiven which were obtained from a series of spectral calculations describing a 1D system radiation, where taking into account the compton scattering on relativistic electrons affects sub stant ially the data.
 KOMAR SYSTEM FOR HANDLING ELEMENTARY NEUTRON 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. 6671.
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 (γstructures) for a number of modern libraries. Application programs are provided to process these data. The programs were written in FORTRAN for the BESM6 computer.
 USING IMPLICIT DIFFERENCE SCHEMES FOR COMPUTER SIMULATION OF HIGHSPEED ACCIDENT SEQUENCES IN NUCLEAR REACTORS Yu. D. Bakulin VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 7275.
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.
 SYSTEM SOFTWARE FOR PROCESSING DATA ON CALCULATIONS PERFORMED WITHIN A NONHOMOGENEAS COMPUTER COMPLEX 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. 7679.
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 nonhomogeneous computer center. This is exemplifiedby a program for processing data related to job execution on the ES computers. The PROTOCOL operation showed that it executes successfully the functions assigned.
 GLIMM METHOD MODIFICATION FOR PENETRATION PROBLEMS 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. 8085.
A method is considered for evaluating contact discontinuity movement on Euler grids. Conditions for differencetoexact solution convergence are given. Numerical solutions are presented for a plane wedge penetrating an elastoplastic target in an oblique manner.
 EXTERNAL SOLIDSTATE STORAGE DEVICE ADAPTER FOR COMMUNICATION WITH THE ELEKTRONIKA60 MICROCOMPUTER V. A. Shialimov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 8690.
The paper describes the structure and the main implementations of a device designed to interconnect the ELEKTRONIKA60 microcomputer with external solid state storage devices having a "Commonbus"  type interface to the SM computer. The device allows to transform the ELEKTRONIKA60 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 ELEKTRONIKA60.
 DEVELOPING TERMINAL GROUP CONTROL IN THE ES7906 SYSTEM M. S. Skornyakov, G. S. Ignatov VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1985. No 3. P. 9192.
The paper considers one of the ways for increasing the number of displays to be connected to the ES7566 group control device, where up to 980 characters may be displayed. A blockdiagram of the ES75668 is presented and functional units are briefly characterized.
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