T. Vu-Huu1, C. Le-Thanh2, H. Nguyen-Xuan3,4, M. Abdel-Wahab3,5,*
CMC-Computers, Materials & Continua, Vol.70, No.3, pp. 4217-4239, 2022, DOI:10.32604/cmc.2022.020889
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.e., 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 Pe1Pe1. 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… More >
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