講演題目：Discontinuous Galerkin methods and supporting computational tools for environmental fluids dynamics modeling
Abstract: Discontinuous Galerkin (DG) methods are a family of finite element methods that exhibit a number of favorable properties for modeling environment fluid dynamics problems, including their ability to easily resolve complicated boundaries, their local conservation properties, and their ability to handle advection-dominated flow scenarios. This talk will highlight the development and application of a suite of DG models for one-, two- and three-dimensional shallow water flow, overland flow due to rainfall and spectral wave modeling. Supporting computational tools that are used within the context of these models include an advanced unstructured mesh generator that we have developed called ADMESH+ and new (in many cases optimal) sets of numerical integration rules and time stepping methods that have been specifically designed for efficient calculation when used with high-order DG spatial discretizations. A number of applications will be highlighted, including the simulation of circulation and wind-driven waves on the Great Lakes, the modeling of hurricane storm surge in the Gulf of Mexico region and the investigation of coupled riverine and overland flow within the Ohio River basin.
Bio: Dr. Kubatko is an Associate Professor in the Department of Civil, Environmental
and Geodetic Engineering at the Ohio State University (OSU) and the director of The
Computational Hydrodynamics and Informatics Laboratory (The CHIL). He obtained his PhD at the University of Notre Dame, where he studied under the direction of Joannes Westerink. Following his time at Notre Dame, he was a post-doctoral fellow at the Institute for Computational Engineering and Sciences (ICES) at the University of Texas at Austin, working with Clint Dawson, before he joined the Department at OSU in 2008. His group's research efforts focus on the development, implementation, analysis, and application of “next generation" high-performance computational models and tools for environmental fluid flow and transport processes.