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RUSSIAN FEDERAL
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ALL-RUSSIAN RESEARCH INSTITUTE
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A DSn-SCHEME FOR THE 3D KINETIC TRANSPORT EQUATION IN SPHERICAL COORDINATES

A. I. Bochkov, V. V. Suchkova
VANT. Ser.: Mat. Mod. Fiz. Proc 2020. Вып.2. С. 3-15.

A scheme for the numerical solution of the 3D time-dependent transport equation written in spherical coordinates is presented. The finite-difference approximation to the equation is performed on spatial 3D regular grids and constructed using a scheme with additional relations, and it is conservative. To solve the resultant system of grid equations, an algorithm has been developed, which is based on the sweep method. Results of the method testing on a model problem are given.

Keywords: 3D transport equation, spherical coordinate system, finite-difference approximation, a system of grid equations, a numerical solution algorithm.
METHODOLOGICAL APPLICATION TESTS DEVELOPED AT RFNC-VNIIEF FOR NUMERICALLY STUDYING PARAMETERS OF HPC SYSTEMS

A. V. Alekseev, S. P. Belyaev, A. I. Bochkov, A. N. Bykov, M. V. Vetchinnikov, A. N. Zalyalov, A. A. Nuzhdin, S. P. Ognev, N. S. Samsonova, I. S. Sapronov, I. N. Chistyakova, T. V. Shemyakina, R. M. Shagaliev, Yu. V. Yanilkin
VANT. Ser.: Mat. Mod. Fiz. Proc 2020. Вып.2. С. 86-100.

The paper considers the issues of testing high-performance computing systems for the numerical simulation of complex physical processes. Methodological application tests (miniapps) developed at RFNC- VNIIEF are reviewed. A test package includes codes for the simulation of various physical processes: neutron transport simulations using difference methods (in kinetic and diffusion approximation) and the Monte Carlo method, gas dynamics, heat transfer, and molecular dynamics processes. These test codes are used to assess the efficiency of paralleling, real performance, and correctness of simulations by high-performance computing systems. The general functionality of test codes, as well as the specific features of algorithms and testing procedures for each code are considered.

Keywords: high-performance computing systems, numerical simulation of physical processes, a test program, miniapps, efficiency of paralleling, performance.







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