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Registration Number

0222U003693, 0117U000333 , R & D reports

Title

Development of methods and parallel computing tools for numeric analysis of dynamic system behavior in 3D media

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Head

Панченко Борис Євгенович,

Registration Date

24-05-2022

Organization

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

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Chapters 4, pages 53, figures 16, sources 47, appendices 1. Keywords: PARALLEL COMPUTING, DISTRIBUTED COMPUTING, EDGE PROBLEMS, 3D ELASTIC ENVIRONMENT, NUMERIC METHODS, HIGH ACCURACY. The project main results are the next. 1) 3 mathematical models of dynamic behavior of a system of elastic inclusions in the conditions of plane deformation with stationary harmonic stress and a method of numerical-analytical studying the class of static and dynamic problems of Theory of Elasticity are developed. 2) 3 types of parallel programs with controlled accuracy of calculations are developed. They solve on clusters the systems of integral equations of the 1st, 2nd kind and with indefinite index. 3) The accuracy of the numeric solutions of the problems of modeling the flat stationary wave diffraction on elastic inclusions has been experimentally investigated. The accuracy of up to 11 digits for conventional arithmetic and up to 20 digits for a GNU library of precision arithmetic is reached. 4) Experimental results on the efficiency of the Best Chebyshev Approximation application for the stiffness of reinforced concrete floors computing are obtained. 5) A low-frequency effective anisotropy model for a periodical layered medium of solid sliding layers is developed. It is shown that the variance of the model parameters is controlled by contrast of the elastic properties of the second-order layers. 6) A method for computing the position of acoustic axes in a triclinic anisotropic medium has been developed. 7) An accurate method for computing the effective parameters of monoclinic anisotropy for the media with vertical fractures has been developed. 8) A stable method for estimating the phase velocities of S1- and S2-waves in weakly anisotropic media based on the phase velocities of qP-waves has been developed. It is shown how this approach can be generalized for the media that are not weakly anisotropic.  

Product Description

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Bilodid Oksana O
Grechko Anastasiya V
Kovalyov Yuriey D
Kolomyech Oleksandr V
Lavrenuk Sergiy I
Maryanovuch Oleg T
Melashchenko Andriy O
Nazarenko Yevgeniy V
Panchenko Boris Ye
Roganov Vyechislav Yu
Roganovа Olena Yu
Tulchinsky Vadym G
Tulchinsky Petro H
Halimendik Valeriy V

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2022-05-24