This paper presents a novel sequential-explicit coupling technique to solve hydromechanical problems in poroelastic media. The proposed approach combines appropriate coupling terms defined in a rate form and an automatic time-stepping scheme that controls the temporal discretization error through a single parameter. Such technique has been implemented in a framework that manages sequential simulations, exchanges of information between models and adapts the time marching in a multirate approach. We present several numerical tests in which we evaluate the new scheme’s stability, accuracy, and performance through comparisons with the fully implicit solution. We observe that the proposed technique is stable, robust and accurate, and can be used in engineering applications for large scale and long time durations.

本文提出了一种新的顺序显式耦合技术来解决多孔弹性介质中的流体力学问题。所提出的方法结合了以速率形式定义的适当耦合项和通过单个参数控制时间离散化误差的自动时间步进方案。这种技术已经在一个框架中实现，该框架管理顺序模拟、模型之间的信息交换并在多速率方法中适应时间推进。我们提出了几个数值测试，通过与完全隐式解决方案的比较来评估新方案的稳定性、准确性和性能。我们观察到所提出的技术稳定、稳健且准确，可用于大规模和长时间的工程应用。