1. Reference problem

1.1. Geometry

The geometry of the problem is that of a cube with side 200 whose faces are called \(\mathit{Face1}\), \(\mathit{Face2}\), \(\mathit{Face3}\), \(\mathit{Face4}\), \(\mathit{Face5}\), and \(\mathit{Face6}\).

1.2. Material properties

It is an isotropic linear elastic material with Young’s modulus \(1.\) and Poisson’s ratio \(0.3\).

1.3. Boundary conditions and loads

The cube is embedded on its side \(\mathit{Face1}\) while all the others are subject to fluid pressure.

Fluid pressure is defined here as a pressure field on the fluid mesh depending on time and space depending on the function \(10^{-4} \times \mathrm{INST} \times (X_f+Y_f+Z_f)\), where \((X_f,Y_f,Z_f)\) are the coordinates on the deformed configuration. For this purpose, the fluid pressure is considered to be the same.

1.4. Characteristics of modeling

The solid calculation is carried out at the times \(0.2\), \(0.4\),,, \(0.6\), \(0.8\) and \(1\).

For cases of weak coupling, a relative residue on the displacement increment of \(10^{-6}\) is required to move on to the next time step.

1.5. Initial conditions

The initial conditions are free of any displacement and constraints.