# Cavity flow

The following examples concern flows in and over cavities.

In the cavity, the flow turns around, with small separation zones along the boundary walls. The complexity of the problem depends on the:

• speed over/under/in the cavity
• viscosity
• shape of the cavity

A systematic variation of these different configurations has been part of the following flow situations. Most of them were performed by students during the Software-Praktikum at Heidelberg in 1997/1998.

## Software-Praktikum at Heidelberg 1997/1998

The aim of this Praktikum - which was mainly attended by Mathematicians and particularly by students from physics in the first or second year - was a comparison of several "Driven Cavity" configurations (here: always in a regularized "Driven Cavity" setting). We varied:

• the ratio length:width of the domain (from 1:1 up to 1:4)
• with or without interior obstacles (up to two circles or squares)
• the boundary conditions (I: only at the top, II: at the top and bottom, III: same as II, but with different sizes)
• the value of the viscosity parameter
For details, look at the corresponding pages!!!
• "(Regularized) Driven Cavity" (I) (height 1, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (II) (height 1, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (III) (height 1, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (I) (height 1, width 1 of the cavity) at medium Reynolds number (not finished)
• "(Regularized) Driven Cavity" (II) (height 1, width 1 of the cavity) at medium Reynolds number (not finished)
• "(Regularized) Driven Cavity" (III) (height 1, width 1 of the cavity) at medium Reynolds number (not finished)

• "(Regularized) Driven Cavity" (I) (height 2, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (II) (height 2, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (III) (height 2, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (I) (height 2, width 1 of the cavity) at medium Reynolds number
• "(Regularized) Driven Cavity" (II) (height 2, width 1 of the cavity) at medium Reynolds number
• "(Regularized) Driven Cavity" (III) (height 2, width 1 of the cavity) at medium Reynolds number

• "(Regularized) Driven Cavity" (I) (height 4, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (II) (height 4, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (III) (height 4, width 1 of the cavity) at low Reynolds number
• "(Regularized) Driven Cavity" (I) (height 4, width 1 of the cavity) at medium Reynolds number
• "(Regularized) Driven Cavity" (II) (height 4, width 1 of the cavity) at medium Reynolds number
• "(Regularized) Driven Cavity" (III) (height 4, width 1 of the cavity) at medium Reynolds number

• "(Regularized) Driven Cavity" (I) with interior square at low Reynolds number
• "(Regularized) Driven Cavity" (II) with interior square at low Reynolds number
• "(Regularized) Driven Cavity" (III) with interior square at low Reynolds number
• "(Regularized) Driven Cavity" (I) with interior square at medium Reynolds number
• "(Regularized) Driven Cavity" (II) with interior square at medium Reynolds number
• "(Regularized) Driven Cavity" (III) with interior square at medium Reynolds number

• "(Regularized) Driven Cavity" (I) with interior circle at low Reynolds number
• "(Regularized) Driven Cavity" (II) with interior circle at low Reynolds number
• "(Regularized) Driven Cavity" (III) with interior circle at low Reynolds number
• "(Regularized) Driven Cavity" (I) with interior circle at medium Reynolds number (not finished)
• "(Regularized) Driven Cavity" (II) with interior circle at medium Reynolds number (not finished)
• "(Regularized) Driven Cavity" (III) with interior circle at medium Reynolds number (not finished)

• "(Regularized) Driven Cavity" (I) with 2 interior squares at low Reynolds number
• "(Regularized) Driven Cavity" (II) with 2 interior squares at low Reynolds number
• "(Regularized) Driven Cavity" (III) with 2 interior squares at low Reynolds number
• "(Regularized) Driven Cavity" (I) with 2 interior squares at medium Reynolds number
• "(Regularized) Driven Cavity" (II) with 2 interior squares at medium Reynolds number
• "(Regularized) Driven Cavity" (III) with 2 interior squares at medium Reynolds number

• "(Regularized) Driven Cavity" (I) with 2 interior circles at low Reynolds number
• "(Regularized) Driven Cavity" (II) with 2 interior circles at low Reynolds number
• "(Regularized) Driven Cavity" (III) with 2 interior circles at low Reynolds number
• "(Regularized) Driven Cavity" (I) with 2 interior circles at medium Reynolds number
• "(Regularized) Driven Cavity" (II) with 2 interior circles at medium Reynolds number
• "(Regularized) Driven Cavity" (III) with 2 interior circles at medium Reynolds number