Discipline: Mathematics & Statistics
Subcategory: STEM Research
Mingchao Cai - Morgan State University
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. In this talk, I will introduce a general FPSI model and the degenerated models. Some possible spatial discretizations, time evolving algorithms, and preconditioning techniques will be discussed.
Funder Acknowledgement(s): NSF HBCU-UP Research Initiation Award: HRD-1700328. NSF HBCU-UP Excellence in Research Award: DMS-1831950.
Faculty Advisor: None Listed,
NSF Affiliation: HBCU-UP