2-D Lid Driven Cavity

Problem Definition:

The problem considers a lid driven cavity with geometry 1x1 in x- & y-direction and the top lid is having a velocity u=1. The present case is tested for 120×120 hexahedral grids with Reynolds number=100.

Results

The streamlines at Reynolds number 100 are shown in Fig. 1.3. Figures 1.4-1.5 show the comparison of u against y (along vertical centerline) and v against x (along horizontal centerline) respectively with Ghia et al. [1].

Figure 1.2: Streamlines for Re 100 Figure 1.3: Comparison of u velocity
along vertical centerline of the
cavitywith 14400 hexahedral cells

Figure 1.4: Comparison of v velocity

along horizontal centerline for

with 14400 hexahedral cells?

References

[1] Ghia, U., Ghia, K.N., Shin, C.T., (1982), “High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method ’’, Journal of Computational Physics, Vol. 48, pp. 387-411