Benchmark of 2D lid driven cavity

 

 

     The Fluent package 6.1.18 has been used to solve the steady Navier-Stokes equations for two dimensional flow in a square driven cavity for a range of Reynolds number from 100 to 10,000. This numerical benchmark concerns 2 dimensional problem where the up lid of Plexiglass cavity is in moving with different velocity which is depended from Reynolds number.

     The driven flow in a square cavity is used to as the model problem. Solution was obtained for configuration with Reynolds number as high as 10,000 and meshes consisting of as many as 257 * 257 points. The problem considered steady plate flow of an incompressible viscous fluid in two - dimensional square cavity in with motion is driven by uniform translation of the upper wall which moves across the cavity from left to right at a speed depended on Re numbers.

 The value of Reynolds number which is depending on this velocity reported below.

Re=100 Re=400 Re=1000 Re=3200 Re=5000
v [m/s] 0.01 0.04 0.1 0.32 0.5
 

At the below was reported some pictures of this benchmark.

 Re = 100 uniform grid (129 * 129)

 Re = 1000 uniform grid (129 * 129)

 Re = 3200 uniform grid (129 * 129)

 

 

      These graphs reported values of relative X,Y velocities to distance along x=0.5 coordinate for all tested  Reynolds's number.