Poroelasticity

Governing equations

The governing equations read:

$$\partial_t (\Phi p + \alpha \nabla \cdot u) + \nabla \cdot [-\kappa \nabla p] = f$$ $$\nabla \cdot [\sigma - \alpha p \mathcal I] = f$$

where

Symbol	name
$\alpha$	Biot parameter
$\Phi$
$\kappa$

References

• M. Parnet (2022): Zeitparallele Mehrgitterverfahren fuer die quasi-stationaere Biot-Gleichung, M.Sc. thesis, Goethe Universitaet Frankfurt.

• Buijse, R., Parnet, M., Nägel, A. (2023). Large scale simulations of partial differential equation models on the Hawk supercomputer. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering '21. HPCSE 2021. Springer, Cham. https://doi.org/10.1007/978-3-031-17937-2_28

Examples