Numerical implementation of mathematical model of the dynamics of a porous medium on supercomputers of cluster architecture : доклад, тезисы доклада

Описание

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS); Albena, BULGARIA; Albena, BULGARIA

Год издания: 2015

Идентификатор DOI: 10.1063/1.4934306

Аннотация: The parallel computational algorithm for analysis of the processes of elastic-plastic deformation of a porous medium under the action of external dynamic loads is developed. This algorithm is based on the mathematical model taking into account threshold nature of change in the strength of a material under the collapse of pores. TheПоказать полностьюalgorithm is implemented in Fortran by means of functions of the MPI library. The parallel program system has been tested on clusters in computations of the propagation of plane longitudinal shock waves of the compression and in computations of the expansion of a cylindrical cavity in an infinite porous medium. The comparison of numerical results and exact solutions has shown their good qualitative and quantitative correspondence. Using the obtained algorithm, the process of propagation of elastic-plastic waves of the compression in a homogenous porous medium, accompanied by the deformation of a skeleton and the collapse of pores, is analyzed. © 2015 AIP Publishing LLC.

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Издание

Журнал: AIP Conference Proceedings

Выпуск журнала: 1684

Номера страниц: 070005

Издатель: American Institute of Physics Inc.

Персоны

  • Sadovskaya O.V. (SB RAS, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)
  • Sadovskii V.M. (SB RAS, Inst Computat Modeling, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)