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Example 1: Backward facing step (fluid flow)

The following specific case of the GAMM workshop [2] is studied here:

total length of channel L=22.

length inflow section l=3.

total height H=1.

height inflow section h=0.5.

viscosity $\nu=0.01$.

density $\rho=1$.

maximum flow component of parabolic profile in inflow section Umax=1.

the flow volume is (2/3)hUmax=1/3.

Reynolds $ Re= U_{max}(H-h)/\nu = 50$.

The result for the minimum x-velocity vx at distance x=0.8 behind the step is studied. This result checks the correct modeling of the recirculation zone after the step. At the distance x=0.8 we find the minimum velocity is vx = -0.041. This happens at y=0.1 above the lower edge. The results of the GAMM workshop were in between -0.066 and -0.018.

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1998-11-16