Kavli Affiliate: Feng Wang
| First 5 Authors: Meng Lei, Mingchao Cai, Feng Wang, ,
| Summary:
In this work, we introduce an iterative decoupled algorithm designed for
addressing the quasi-static multiple-network poroelasticity problem. This
problem pertains to the simultaneous modeling of fluid flow and deformations
within an elastic porous medium permeated by multiple fluid networks, each with
distinct characteristics. Our approach focuses on the total-pressure-based
formulation, which treats the solid displacement, total pressure, and network
pressures as primary unknowns. This formulation transforms the original problem
into a combination of the generalized Stokes problem and the parabolic problem,
offering certain advantages such as mitigating elastic locking effects and
streamlining the discretization process. Notably, the algorithm ensures
unconditional convergence to the solution of the total-pressure-based coupled
algorithm. To validate the accuracy and efficiency of our method, we present
numerical experiments. The robustness of the algorithm with respect to the
physical parameters and the discretization parameters is carefully
investigated.
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