Project R-6968

A hybridized discontinuous Galerkin method for complex transient flow problems (Research)

The importance of computer-based simulation in technical and industrial applications is evident, as it can significantly reduce the experimental costs. Not only, but in particular the aerodynamic industry has a huge interest in reliable and robust methods for accurately computing aerodynamic flows. In this work, we extend the previous research on a hybridized discontinuous Galerkin (HDG) method for time-dependent flow problems. In contrast to well-established finite volume methods, the HDG method promises better accuracy and is therefore referred to as a high-order method. It has been shown that high-order methods may also have better efficiency than finite volume methods. This is a huge improvement and allows tackling flow problems that are not accessible for finite volume methods. The goal of the project is to improve the HDG method in order to have an accurate, efficient and stable method for a huge variety of unsteady flow problems. In order to achieve these goals, the project covers work on time integrators, linear solvers and strategies for mesh adaptation.

01 April 2016 - 31 March 2018