Figure 8:

Specifications of the Cook’s membrane benchmark (Section 4.2). The primary quantity of interest is the y-displacement as measured at the upper right hand corner, indicated by the circle. The structure, shown here in its initial configuration and denoted by ${\Omega }_0^{\text{S}}$, is immersed in a fluid region denoted by ${\Omega }_0^{\text{f}}$. The entire computational domain is $\Omega ={\Omega }_t^{\text{f}}\cup {\Omega }_t^{\text{s}}$. Zero fluid velocity is enforced on the boundary of Ω.