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.

 

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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 2024Apr.27];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

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