The Numerical Stability Condition in the Mathematical Solution Algorithm of Newtonian Fluid Flow Equations Applied on a Dynamic Mesh

Authors

  • NISRINE MOHAMAD tishreen university

Keywords:

Newtonian fluid, dynamic mesh, finites elements, Navier stokes equations.

Abstract

The use of dynamic mesh in solving the differential equations of flow helps avoid the use of the principle of flow reflection usually taken into account in the majority of the problems of fluid-structure interaction. The applications of this principle are limited. The use of this type of dynamic mesh leads to incorrect results that depend on many considerations, including deformation of the finite elements and their inconsistency with the movement of the body, which causes instability in the numerical solution of the flow parameters. 

This research presents a contribution to determine the condition that guarantees the stability of the numerical solution as well as the conservation of the geometric element property (the condition of geometric conservation) when solving the flow equations of an incompressible Newtonian fluid using the finite element method after selecting a test function of the Galerkine type. A method to reset the coordinates of the mesh is also proposed.

 

Downloads

Published

2023-06-13

How to Cite

1.
محمد ن. The Numerical Stability Condition in the Mathematical Solution Algorithm of Newtonian Fluid Flow Equations Applied on a Dynamic Mesh . Tuj-eng [Internet]. 2023Jun.13 [cited 2025Jan.28];45(2):21-3. Available from: https://journal.tishreen.edu.sy/index.php/engscnc/article/view/14476

Issue

Vol. 45 No. 2 (2023): Tishreen University Journal of Research and Scientific Studies - Engineering Sciences Series

Section

Articles

License

Copyright (c) 1970 Nttps://creativecommons.org/licenses/by-nc-sa/4.0/

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to Tishreen University Journal for Research and Scientific Studies - Engineering Sciences Series

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in  Tishreen University Journal for Research and Scientific Studies - Engineering Sciences Series   .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of  Tishreen University Journal for Research and Scientific Studies - Engineering Sciences Series     Publisher

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.