@Article{cmc.2022.020889,
AUTHOR = {T. Vu-Huu, C. Le-Thanh, H. Nguyen-Xuan, M. Abdel-Wahab},
TITLE = {Polygonal Finite Element for Two-Dimensional Lid-Driven Cavity Flow},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {70},
YEAR = {2022},
NUMBER = {3},
PAGES = {4217--4239},
URL = {http://www.techscience.com/cmc/v70n3/44991},
ISSN = {1546-2226},
ABSTRACT = {This paper investigates a polygonal finite element (PFE) to solve a two-dimensional (2D) incompressible steady fluid problem in a cavity square. It is a well-known standard benchmark (<i>i.e</i>., lid-driven cavity flow)-to evaluate the numerical methods in solving fluid problems controlled by the Navier–Stokes (N–S) equation system. The approximation solutions provided in this research are based on our developed equal-order mixed PFE, called Pe<sub>1</sub>Pe<sub>1</sub>. It is an exciting development based on constructing the mixed scheme method of two equal-order discretisation spaces for both fluid pressure and velocity fields of flows and our proposed stabilisation technique. In this research, to handle the nonlinear problem of N-S, the Picard iteration scheme is applied. Our proposed method’s performance and convergence are validated by several simulations coded by commercial software, <i>i.e</i>., MATLAB. For this research, the benchmark is executed with various Reynolds numbers up to the maximum . All results then numerously compared to available sources in the literature.},
DOI = {10.32604/cmc.2022.020889}
}