Open Access

ARTICLE

# Stabilization for Equal-Order Polygonal Finite Element Method for High Fluid Velocity and Pressure Gradient

T. Vu-Huu1, 2, C. Le-Thanh3, H. Nguyen-Xuan4, M. Abdel-Wahab5, 6, *

1 Department of Electrical energy, Metals, Mechanical Constructions and Systems, Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium.
2 Faculty of Civil Engineering, Vietnam Maritime University, Hai Phong, Vietnam.
3 Faculty of Civil Engineering and Electricity, Ho Chi Minh City Open University, Ho Chi Minh, Vietnam.
4 CIRTech Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh, Vietnam.
5 Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh, Vietnam.
6 Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh, Vietnam.

* Corresponding Author: M. Abdel-Wahab. Email: .

Computers, Materials & Continua 2020, 62(3), 1109-1123. https://doi.org/10.32604/cmc.2020.07989

## Abstract

This paper presents an adapted stabilisation method for the equal-order mixed scheme of finite elements on convex polygonal meshes to analyse the high velocity and pressure gradient of incompressible fluid flows that are governed by Stokes equations system. This technique is constructed by a local pressure projection which is extremely simple, yet effective, to eliminate the poor or even non-convergence as well as the instability of equal-order mixed polygonal technique. In this research, some numerical examples of incompressible Stokes fluid flow that is coded and programmed by MATLAB will be presented to examine the effectiveness of the proposed stabilised method.

## Cite This Article

APA Style
Vu-Huu, T., Le-Thanh, C., Nguyen-Xuan, H., Abdel-Wahab, M. (2020). Stabilization for equal-order polygonal finite element method for high fluid velocity and pressure gradient. Computers, Materials & Continua, 62(3), 1109-1123. https://doi.org/10.32604/cmc.2020.07989
Vancouver Style
Vu-Huu T, Le-Thanh C, Nguyen-Xuan H, Abdel-Wahab M. Stabilization for equal-order polygonal finite element method for high fluid velocity and pressure gradient. Comput Mater Contin. 2020;62(3):1109-1123 https://doi.org/10.32604/cmc.2020.07989
IEEE Style
T. Vu-Huu, C. Le-Thanh, H. Nguyen-Xuan, and M. Abdel-Wahab "Stabilization for Equal-Order Polygonal Finite Element Method for High Fluid Velocity and Pressure Gradient," Comput. Mater. Contin., vol. 62, no. 3, pp. 1109-1123. 2020. https://doi.org/10.32604/cmc.2020.07989

## Citations

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

View

Download

Like

## Related articles

• T. Vu-Huu, C. Le-Thanh, H. Nguyen-Xuan,...