DMS Applied Mathematics Seminar

Speaker: Martina Bukac (University of Notre Dame, https://www3.nd.edu/~mbukac/)

Title:  Numerical methods for fluid-poroelastic structure interaction

Abstract: Poroelastic materials can be found in nature (e.g., tissues, rocks, soils, sand beds) as well as in engineering systems (e.g., foams, concretes, and polymer composites). To describe poroelastic structures, a commonly used model is the Biot model, which consists of the mechanics equation describing the elastic phase and Darcy's law describing the fluid phase. The two phases are mutually coupled. In many instances, the poroelastic materials are in contact with a free-flowing fluid and their interaction forms a two-way coupled problem. Due to their many applications, the development of numerical methods for fluid-poroelastic structure interaction (FPSI) has been an area of active research. This talk will focus on the development of partitioned numerical methods for FPSI problems. The challenges in the design of such methods will be discussed and several different algorithms will be presented. We will also discuss the stability and accuracy of the proposed methods, as well as their performance on numerical examples. 

Join from PC, Mac, Linux, iOS or Android: https://auburn.zoom.us/j/88918338743