Polygonal Finite Element for Two-Dimensional Lid-Driven Cavity Flow

This paper investigates a polygonal finite element (PFE) to solve two-dimensional (2D) incompressible steady fluid problem in cavity square. It is well-known standard benchmark (i.e., lid-driven flow)-to evaluate the numerical methods solving problems controlled by Navier–Stokes (N–S) equation system. The approximation solutions provided this research are based on our developed equal-order mixed PFE, called Pe1Pe1. an exciting development constructing scheme method of two discretisation spaces for both pressure and velocity fields flows proposed stabilisation technique. In research, handle nonlinear N-S, Picard iteration applied. Our method’s performance convergence validated several simulations coded commercial software, i.e., MATLAB. For executed with various Reynolds numbers up maximum . All results then numerously compared available sources literature.