There are many important applications that involve interactions between fluid flow and poroelastic
structures. Numerical simulations of such multi-domain, multi-scale, and multi-physics models are extremely
challenging because the subdomain models are of different types, discretization schemes that mimic physical
laws are difficult to design, and the stability and accuracy are hard to preserve in partitioned numerical
algorithms which decouple the computations of the coupled models. The objective of this project aims at
developing efficient and effective numerical algorithms that can address the previously mentioned difficulties.
In particular, the PI and the team members will consider decoupled preconditioning techniques based on
a monolithic formulation, two-grid methods combined with the Robin-Neumann iteration, multi-rate timestepping
schemes which use different time step sizes in different subdomain models, domain decomposition
methods and multigrid methods that can accelerate the convergence of the numerical algorithms.

1831950

2018-09-01

2021-08-31