This project focuses on the development of numerical methods for variable-coefficient poroelastic models
(also known as Biot model) arising from many important applications in science and engineering. Due to
the heterogeneity in the coefficients, extremely fine grids are required to capture the correct behavior of the
solution in the discretization schemes. Thus, large-scale discrete saddle point systems need to be efficiently
solved in numerical simulation. The primary goal of this project is to develop, analyze and implement optimal
and scalable numerical methods for variable-coefficient poroelastic models under the finite element method
(FEM), finite volume method (FVM) and immersed interface method (IIM) discretizations. The long-term
goal will be the integration of the poroelastic solvers with fluid solvers and their applications to multi-physics
problems in geoscience and biomedical engineering. Several novel numerical algorithms will be developed
and investigated. Some undergraduate and graduate students will be trained and educated in this research
project.

1700328

2017-05-01

2022-04-30