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An implicit scheme for simulation of free surface non-Newtonian fluid flows on dynamically adapted grids

  • Kirill Nikitin , Yuri Vassilevski and Ruslan Yanbarisov EMAIL logo
Published/Copyright: June 22, 2021

Abstract

This work presents a new approach to modelling of free surface non-Newtonian (viscoplastic or viscoelastic) fluid flows on dynamically adapted octree grids. The numerical model is based on the implicit formulation and the staggered location of governing variables. We verify our model by comparing simulations with experimental and numerical results known from the literature.

MSC 2010: 65M08; 76D27; 76A05

Funding statement: The development of the model of non-Newtonian viscoelastic flows in time-dependent domains was supported by the Russian Science Foundation through the grant 19-71-10094. The development of the implicit numerical scheme for the free surface flow on the dynamically adapted octree grids was supported by Moscow Center of Fundamental and Applied Mathematics (agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2019-1624).

Acknowledgment

The authors are grateful to Kirill Terekhov for his great contribution to the development of the original octree-CFD code.

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Received: 2021-02-06
Accepted: 2021-03-23
Published Online: 2021-06-22
Published in Print: 2021-06-25

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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