Realizability-Preserving DG-IMEX Method for a Two-Moment Model of Special Relativistic Transport

Speaker: Joseph Hunter (OSU) Dates: 2023/11/01 Location: MA 105 Abstract: Special relativistic transport models are important for describing the transport of neutrinos, with applications to supernovae and gravitational waves.  We study a two-moment model that evolves the Eulerian moments of…

Recent advances in discontinuous Galerkin discretization of Cahn–Hilliard–Navier–Stokes models for systems of two-phase flows

Speaker: Chen Liu (Purdue) Dates: 2023/10/26 Location: Zoom, link Abstract: Efficient and accurate pore-scale fluid dynamics simulators have important applications in digital rock physics. One of the popular approaches for modeling two-phase fluid flow in micro-to-millimeter pore structures is to…

Introduction to Nonlocal Calculus

Speaker: Zhaolong Han (UCSD) Dates: 2023/10/20 Location: Zoom, link Abstract: There has been a growing interest in the study of nonlocal models as more general and sometimes more realistic alternatives to the conventional PDE models. In this talk, we will…

Optimal Error Estimates of Ultra-weak Discontinuous Galerkin Methods with Generalized Numerical Fluxes

Speaker: Yuan Chen (OSU) Dates: 2023/10/06 Location: MW154 Abstract: We study ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional high order partial differential equations on both unstructured simplex and Cartesian meshes. The equations we consider as examples are…