Computational & Applied Math Seminar

A reinterpreted discrete fracture model for fracture and barrier networks

  • Speaker: Yang Yang (Michigan Technological University)

  • Time: Aug 31, 2022, 09:00-10:00

  • Location: Tencent Meeting ID 117-961-286

Abstracts

In this talk, we construct the reinterpreted discrete fracture model for flow simulation of fractured porous media containing flow blocking barriers on non-conforming meshes. The methodology of the approach is to modify the traditional Darcy’s law into the hybrid-dimensional Darcy’s law where fractures and barriers are represented as Dirac-delta functions contained in the permeability tensor and resistance tensor, respectively. This model is able to account for the influence of both highly conductive fractures and blocking barriers accurately on non-conforming meshes. The local discontinuous Galerkin (LDG) method is employed to accommodate the form of the hybrid-dimensional Darcy’s law and the nature of the pressure/flux discontinuity. The performance of the model is demonstrated by several numerical tests.


Biography
Dr. Yang received his Ph.D. degree from Brown University in 2013 working with Prof. Chi-Wang Shu. After obtaining his Ph.D. degree, he joined the Department of Mathematical Sciences at Michigan Technological University as an assistant professor. He was promoted to associate professor with tenure in 2017, and professor in 2021.
Dr. Yang’s research projects mainly focused on (1) High order numerical methods for blow-up solutions; (2) Superconvergence of discontinuous Galerkin methods; (3) Single and multiphase flows in fractured porous media; (4) Gaseous detonation; (5) Numerical cosmology. His work is currently supported by NSF.