The 2D lid-driven cavity problem revisited

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

“…4. The congruence between the numerical solutions of Ghia, Ghia and Shin (1982), Botella and Peyret (1998) and Bruneau and Saad (2006), and the numerical solution of this work using the 1024 x 1024 grid can be considered very good. Table 5 presents the apparent order (p U ) for Re = 0.01, 10, 100, 400 and 1000.…”

Modelling and shape optimization of an actuator

“…The results are presented on a 640 × 640 cells uniform mesh that has been chosen after a detailed grid convergence study in order to achieve accurate computations (Bruneau and Saad 2006). This mesh is kept for all the computations performed in this paper.…”

“…The CFL condition related to the convection term requires a time step δt of the order of magnitude of the space step for the non dimensional problem, which is relevant to have a good accuracy of the evolution and does not induce too much cpu time consumption. A third-order finite differences upwind scheme is used for the space discretization of the convection terms (Bruneau and Saad 2006). The efficiency of the resolution is obtained by a multigrid procedure using a cell-by-cell relaxation smoother.…”

On the performance of a 2D unstructured computational rheology code on a GPU

“…The problem considers incompressible flow in a square cavity with side length H, where an upper lid moves with a known velocity (U), as illustrated in Figure 4. This test problem is well documented in the literature [29,30,31], using different solution procedures and Reynolds numbers ranging from 100 to 10,000. The major difficulty with this problem is to capture the flow near the corners, where vortices appear.…”