SOFTWARE PACKAGE FOR SOLVING 1-D MATHEMATICAL PHYSICS PROBLEMS "1-D COMPLEX"

I. D. Sofronov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 1. P. 3-6.

The paper is the first of the serial papers describing the software package for solving 1-D mathematical physics problems. A production program is defined and its difference from a methodical one is considered. Demands for production programs are formulated.
      The package structure is described. The concept of package complexity is explicated. The content of the 1976 complex version is considered.

Yu. N. Babayev, S. V. Bazhenov, Yu. A. Dementyev
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 1. P. 7-9.

The paper deals with quality analysis of solution of the non-stationary integral equation of radiation transfer from a surface, radiating according to the Lambert law, through a region of negligible radiation-matter interaction.

O. A. Dibirov, V. A. Elesin, V. E. Troshchiev, V. F. Yudintsev
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 1. P. 10-17.

The spherically-symmetric spectral (group) problem of heat radiation transfer and numerical solution method for the problem are formulated. The method is based on combination of the first- and second-order finite-difference approximations and on iterative amendment algorithm used to solve a set of non-linear difference equations.
      Convergence of iterations and accuracy of mesh solutions are discussed. A numerical solution of a multi-group problem is given.

S. M. Bakhrakh, N. P. Kovalyov, Yu. V. Yanilkin
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 1. P. 18-20.

Shell benavior resulting from a system-centered HE burst is investigated numerically.
      The scale effect occurring in associated experiments may be understood using a destruction time criterion.

V. A. Batalov, V. A. Svidinski, V. I. Selin, V. N. Sofronov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 1. P. 21-28.

A code to solve 1-D continuum mechanics problems is described, allowing to account the following physical processes: gas dynamics, elastoplastic deformation on the basis of Prandt1-Reiss plastic flow laws, explosive detonation, breakoff and radial fracturing, diffusion-approximated heat conductivity. Finite- -difference walkthrough pseudo-viscosity method ("CREST"-scheme) is used for numerical solution of the gas dynamics system. Radial fracturing, evaporation, melting and explosive detonation are realized in the program through the equation of state.
      The program is block-structured and has dynamic memory allocation. The program computer complex linking is made depending on the type of symmetry of the problem being computed. Problem capabilities are demonstrated by computing 6 test problems.