Vol.62, No.3, 2020, pp.1109-1123, doi:10.32604/cmc.2020.07989
OPEN ACCESS
RESEARCH 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: magd.abdelwahab@tdtu.edu.vn.
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.
Keywords
Polygonal finite element method, fluid computation, stokes equation, mixed method, local projection.