Kavli Affiliate: Feng Wang
| First 5 Authors: Mingchao Cai, Mingchao Cai, , ,
| Summary:
In this work, we present an iteratively decoupled algorithm for solving the
quasi-static multiple-network poroelastic model. Our approach employs a
total-pressure-based formulation with solid displacement, total pressure, and
network pressures as primary unknowns. This reformulation decomposes the
original problem into a generalized Stokes problem and a parabolic problem,
offering key advantages such as reduced elastic locking effects and simplified
discretization. The algorithm guarantees unconditional convergence to the
solution of the fully coupled system. Numerical experiments demonstrate the
accuracy, efficiency, and robustness of the method with respect to physical
parameters and discretization. We further apply the algorithm to simulate the
brain edema process, showcasing its practical utility in biomechanical
modeling.
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