The convergence rate of a polygonal finite element for Stokes flows on different mesh families

This paper introduces an evaluation to consider the convergence rate of a polygonal finite element (PFE) to solve two-dimensional (2D) incompressible steady Stokes flows on different mesh families. For this purpose, a numerical example of 2D incompressible steady Stokes flows programmed and coded by...

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Published inJournal of physics. Conference series Vol. 1777; no. 1; pp. 12065 - 12072
Main Authors Vu-Huu, T, Le-Thanh, C, Pham-Van, Sy, Hoan Pham, Q, Nguyen-Xuan, H, Abdel-Wahab, M
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2021
Subjects
Convergence
convergence rate
Fluid flow
Fluid flow computations
Incompressible flow
mixed-method
Physics
polygonal finite elements
Polygons
Quadrilaterals
Stokes equations
Stokes flow
Two dimensional flow
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Summary:This paper introduces an evaluation to consider the convergence rate of a polygonal finite element (PFE) to solve two-dimensional (2D) incompressible steady Stokes flows on different mesh families. For this purpose, a numerical example of 2D incompressible steady Stokes flows programmed and coded by MATLAB is deployed. Furthermore, the mixed equal-order PFE, i.e., Pe1Pe1, is utilised for this research. Additionally, five different mesh families, i.e., triangular, quadrilateral, hexagonal, random Voronoi, centroidal Voronoi meshes, are applied for this research. Moreover, an interesting evaluation of the CPU time for the performance of our proposed PFE in this research is employed as well. From these tests, differences in convergence rate, as well as CPU time of using Pe1Pe1 on different mesh families, are indicated.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1777/1/012065