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RUSSIAN FEDERAL NUCLEAR CENTER 
ALLRUSSIAN RESEARCH INSTITUTE OF EXPERIMENTAL PHYSICS 

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Issue N^{o} 2, 1978  A SERVICE SYSTEM FOR THE 1D OK COMPLEX
E. G. Voronov, M. I. Kaplunov, V. G. Podvalny, S. K. Rebrov, V. I. Filatov Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 2. P. 312.
The paper contains a general description of a program package service system for solving computational physics problems referred to as 1D Complex (OK) where the application programs are written in FORTRAN. We define some nonFORTRAN elements, expand ing the application programming capabilities within OK Complex, along with their functional role and command language facilities for introducing these elements. The archive storage possibilities are briefly described. A general OK Complex operation scheme is presented.
 CONTIUNOUS CORRECTION ITERATION METHOD FOR SOLVING SPECTRAL RADIATION TRANSPORT PROBLEMS V. E. Troshchiev, V. F. Yudintsev Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 2. P. 1316.
An averaged continuous correction method is developed which is used to obtain a faster temperature convergence of simple iterations when solving a spectral thermalradiation transport equation and a media energy equation. Two linear models are constructed for a nonlinear spectral transport equation which were used to investigate theoretically the convergence of both simple and correction iterations. The major study results include formulae for averaging spectral radiation runs, which cause the correction method to converge and to give a substantial speedup of the iteration convergence.
 SPRUT: A METHOD FOR COMPUTING 2D NONSTEADY STATE FLOWS OF DESTRUCTABLE MEDIA V. A. Bychenkov, V. V. Gadjieva Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 2. P. 1722.
A computational medium model and numerical method for solving 2D timedependent problems, taking into account elastic/plastic properties and material destruction, are proposed. Several simple assumptions, introduced in the model, permit to simulate the flows of media having different strength properties (porous, crushed, fractured). The model studies two nontrivial parameters, that is pore and fracture specific volumes. The governing eguations are presented in a differential form. The numerical method is based on an explicit difference scheme approximating original differential eguations on rectangudar meshes in Lagrangian coordinates. An example is included which shows simultaneous burst of two charges in a destructable medium.
 USING VULCAN METHOD ТО SOLVE THERMOELASTICITY PROBLEMS V. V. Bashurov, V. A. Svidinsky, T.F. Kryukova Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 2. P. 2329.
A finitedifference scheme is considered for solving thermoelasticity equations based on differential equations written in mixed EulerianLagrangian coordinates. An algorithm is given to evaluate contact boundaries and cuts, typical for thermoelasticity problems. The effect of some equation terms on the stress deviator is analyzed, which is then demonstrated using the simplest types of motion. The problem describing a hemisphere motion due to energy release within the medium is investigated. The interaction between the hemisphere and the rigid base is also studied. A numerical analysis of a problem illustrating the dependence of hemisphere average rebound velocity on its size and Poisson ratio is carried out.
 SOME UNDERGROUND EXPLOSION RELATED ISSUES V. A. Batalov, S. M. Bakhrakh, B. A. Klopov, N. P. Kovalyov, E. E. Meshkov, V. N. Mokhov, I. N. Pavlusha, A. V. Pevnitsky, V. A. Sarayev, V. P. Sevastyanov, V. I. Tarasov, Yu. V. Yanilkin, M. S. Samigulin Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1978. No 2. P. 3036.
In order to study and numerically simulate the mechanics of an underground explosion a continuum model is considered, taking into account compressibility, elastic/plastic properties, initial porosity, destruction, heat conductivity, and turbulent effects. Appropriate algorithms and programs are written to solve both 1D and 2D (axisymmetric) problems. General laws, defining a containment cavity formation including, in particular, the medium parameters impact on the cavity size are estimated. Burst product and ground motion due to the explosion with nonspherical initial geometry are studied. A comparison between 2D calculation and the U.S. Marvel experiment is made. Some laboratory experiment and 2D calculations results are given, which show a channel collapse effect occurring in the case of explosion with such initial geometry.
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