Benchmark computations of dynamic poroelasticity

TL;DR

This paper provides benchmark computations for dynamic poroelasticity modeling fluid flow in deformable porous media, aiming to evaluate and compare numerical methods and formulations in this complex field.

Contribution

It introduces a challenging benchmark setting and summarizes finite element approximation results to facilitate comparative studies of discretization, solver efficiency, and model formulations.

Findings

Benchmark setting and goal quantities proposed

Finite element approximation results summarized

Encourages comparative evaluation of numerical methods

Abstract

We present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic-parabolic system of partial differential equations. A challenging benchmark setting and goal quantities of physical interest for this problem are proposed. Computations performed by space-time finite element approximations with continuous and discontinuous discretizations of the time variable are summarized. By this work we intend to stimulate comparative studies by other research groups for the evaluation of dynamic poroelasticity solver regarding the accuracy of discretization techniques, the efficiency and robustness of iterative methods for the linear systems and the arrangement of the model equations in terms of their variables (two-field or multi-field formulations).