Sequential solution strategies for the Cahn-Hilliard-Biot model

TL;DR

This paper investigates different computational strategies for solving the complex, coupled Cahn-Hilliard-Biot equations, aiming to improve efficiency and robustness in modeling flow in deformable porous media.

Contribution

It compares monolithic and splitting solution algorithms for the Cahn-Hilliard-Biot system, providing insights into their performance and applicability.

Findings

Splitting strategies offer computational advantages over monolithic methods.

Certain algorithms demonstrate higher robustness in nonlinear, coupled systems.

The study guides selecting efficient solution methods for complex porous media models.

Abstract

This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changing solid phases. Solving the Cahn-Hilliard-Biot system poses significant challenges due to its coupled, nonlinear and non-convex nature. We explore various solution algorithms, comparing monolithic and splitting strategies, focusing on both their computational efficiency and robustness.