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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.
Keywords
Cite This Article
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,"
Computers, Materials & Continua, vol. 62, no.3, pp. 1109–1123, 2020.
Citations