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A STUDY OF TRANSIENT FLOWS WITH INTERFACES USING NUMERICAL SOLUTION OF NAVIER–STOKES EQUATIONS

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Abstract

Flows of two immisible fluids are considered taking into account the capillary and gravity forces. The flow is described using a viscous incompressible fluid model within a two-dimensional formulation. The Navier–Stokes equations are solved numerically by an extended finite-element method, which allows for the presence of a strong discontinuity on the interface. The interface location is tracked using the level set method. This approach makes it possible to study flows with a varying topology of the interface. The calculation results are presented for the problems of a rising 2D bubble, development of the Rayleigh–Taylor instability, and a film flowing down a vertical wall in an extended region.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. I. Aleksyuk & V. Ya. Shkadov

  2. Water Problems Institute of RAS, Moscow, Russia

    A. I. Aleksyuk

Authors
  1. A. I. Aleksyuk
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  2. V. Ya. Shkadov
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Correspondence to A. I. Aleksyuk or V. Ya. Shkadov.

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Aleksyuk, A.I., Shkadov, V.Y. A STUDY OF TRANSIENT FLOWS WITH INTERFACES USING NUMERICAL SOLUTION OF NAVIER–STOKES EQUATIONS. Fluid Dyn 55, 314–322 (2020). https://doi.org/10.1134/S0015462820030015

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