BEM Based Numerical Approach for the Study of the Dispersed Systems Rheological Properties

  • Yulia A. Pityuk
  • Olga A. AbramovaEmail author
  • Nazgul B. Fatkullina
  • Aiguzel Z. Bulatova
Conference paper
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 199)


The relevance of adequate modeling of disperse systems in the microscale is driven by the need of solution of applied problems appearing in the oil and gas industry, micro-manufacturing, environmental, bio-, medical-, nano- and other technologies. High-efficient computational techniques for modeling of large volume of the dispersed system is required for more accurately determine the rheological parameters of such systems, based on the calculated properties of its components. The present work is dedicated to the study of the dispersed system features in a shear flow at low Reynolds numbers. The computational approach is based on the boundary element method accelerated using the fast multipole method on heterogeneous computing architectures. The results of the simulations and details of the method are discussed. Furthermore, the standard viscometric functions that characterize the behavior of an emulsion or bubbly liquid, when this is regarded as a homogeneous medium, were calculated and studied.


Dispersed systems Shear flow Rheology Boundary element method Fast multipole method Graphics processors 



The reported study was funded by Russian Science Foundation according to the research project No. 18-71-00068), FMM library is provided by Fantalgo, LLC (Maryland, USA)


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yulia A. Pityuk
    • 1
  • Olga A. Abramova
    • 1
    Email author
  • Nazgul B. Fatkullina
    • 1
  • Aiguzel Z. Bulatova
    • 1
  1. 1.Center for Micro and Nanoscale Dynamics of Dispersed SystemsBashkir State UniversityUfaRussia

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