PhD Seminar Series: “Discontinuous Galerkin Methods: Friend or Foe?”

We continue our seminar series on Tuesday, Nov. 26th at 13.00

On site: Salón de Grados (Leganés)

For this event in the Aerospace PhD Seminar Series, we had the pleasure of hosting Dr. Ceren Gürkan, Visiting Professor at UC3M.

The event took place in the Salón de Grados on Tuesday, November 26th at 13:00 pm and will be streamed (Online).

Ceren Gürkan earned her PhD degree in Computational Mechanics in November 2018 from Universitat Politécnica de Catalunya. For her PhD work, she developed high order eXtended Hybridizable Discontinuous Galerkin Method (XHDG), proving its accuracy and convergence on boundary value and interface flow problems. During her post-doctoral studies she further worked on not-mesh-fitting Cut Discontinuous Galerkin Methods and their stabilization, proposing a ghost penalty technique that ensures a stable discretization independent of the cut configuration. Currently, she serves as a Visiting Professor at Universidad Carlos III, where she contributes to CFDLab’s work on unsteady aerodynamics of samara seeds and aims to implement high order Discontinuous Galerkin discretization into CFDLab’s inhouse solver TUCANGPU.

“Discontinuous Galerkin Methods: Friend or Foe”

Abstract:

This talk will commence with an overview of discontinuous Galerkin (DG) methods,
highlighting their strengths and limitations relative to other discretization techniques for solving fundamental flow problems. Following this, we will explore advanced high-order formulations, specifically the Hybrid (HDG) and eXtended discontinuous Galerkin (XHDG) methods. Hybrid DG (HDG) is a special DG method that defines the unknown nodes at mesh skeleton, remediating the main bottleneck of standard DG methods. eXtended discontinuous Galerkin (XHDG) on the other hand, is based on eXtended Finite Element philosophy with a level-set description of interfaces, removing the fitting mesh restriction from the problem, alleviating meshing costs. We will discuss the applications of HDG and XHDG on boundary value and interface flow problems, underlining convergence, super convergence, accuracy and stability aspects. The talk will conclude with insights from current research activities and a discussion of potential directions for advancing DG methods.