The lid-driven square cavity flow: numerical solution with a 1024 x 1024 grid

The problem of flow inside a square cavity whose lid has constant velocity is solved. This problem is modeled by the Navier-Stokes equations. The numerical model is based on the finite volume method with numerical approximations of second-order accuracy and multiple Richardson extrapolations (MRE). The iterative process was repeated until the machine round-off error achievement. This work presents results for 42 variables of interest, and their discretization errors estimates, on the 1024 x 1024 nodes grid and the following Reynolds numbers: 0.01, 10, 100, 400 and 1000. These results are compa...