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Mathematical center in Akademgorodok invites you to participate in the next seminar “Actual problems of applied mathematics”

The internet seminar session will be held on June 19 at 6 pm Novosibirsk time (UTC+7).
The seminar’s heads – I. A. Taimanov, S. I. Kabanikhin, A. E. Mironov, M. A. Shishlenin.
The secretary – N. M. Prokhoshin (n.prokhoshin@g.nsu.ru).

E. B. Savenkov and V. A. Balashov (Keldysh Institute of Applied Mathematics) will present their talk "Direct numerical modeling of currents in microsamples of rock".
Analysis of microcurrents in liquid in both natural and artificial porous environments is an important task for a variety of applications. With the rise of high efficiency computers and methods of computer microtomography a technical opportunity for this modeling tasks solution has appeared. In geophysical applications these methods are a part of «digital core sample» or «virtual core sample laboratory» technology. The essence of it is the direct modeling of microcurrents in porous space of mountain rock with direct resolution of phase borders and surface effects. Results of microtomography of real rock samples are used as a geometric model. The goal of such research is to determine macroscopic characteristics of microsamples and broadening our knowledge of the series of processes that go along with extrusion of multiphase mixture in these conditions.

The report will cover a description of means of mathematical modeling, development of which have been conducted in the Institute of Applied Mathematics for the last years. We will look into the main ideas of the «digital core sample» technology and describe the developed models and algorithms. As a mathematical flow model we will use quasi-hydrodynamic regularization of equations of multiphase hydrodynamics of Navier-Stokes-Cahn-Hillard type. This model is thermodynamically conform end it describes the dynamics of phase borders in the framework of «diffusion border» model. Quasi-hydrodynamic terms are dissipative and play the role of numerical regularization which enable us to use relatively easy schemes with central approximations of spatial differential operators. The field of modeling is described via a voxel geometry which lets us use the results of micro tomography with almost no processing. Calculation results of both modeling and applicable tasks will be provided.

To take part, please, on June 19 after 5:45 pm Novosibirsk time (UTC+7) connect to the Zoom conference via this link: .
You can also connect manually in the Zoom app using the Conference ID: 934 7387 9731. 

Please pay attention to the following rules of attending the online seminar:
  • As a security measure, it is highly advisable to connect using your real name. 
  • You are free to join the discussion after the end of the report. However, during the report please keep you microphone turned off. 
  • For the convenience of the speaker, we recommend writing your questions in the chat in advance.