In this course, we cover various techniques to solve fluid flow problems using the finite element method. Topics of numerical instabilities that result from the underlying formulation will be presented. Furthermore, we will review relevant stabilization techniques that are used to tackle such instabilities. The course consists of a combination of presentations and hands-on coding […]

In this course, the basics of Lagrangian point particle methods for the application on HPC systems are covered. The course consists of an introduction to the applied method, followed by a hands-on exercise using the in-house simulation framework m-AIA. The topics covered are spherical and non-spherical particles and the efficient implementation of point particle methods […]

In this course, the introduction to the structural properties of various turbulence modeling concepts (RANS, LES, and Hybrid RANS/LES) including associated equations will be given. In addition to the presentation, the corresponding computational setup including pre-processing, simulation implementation, and post-processing for some illustrative flow configurations will be provided based on the open-source CFD software OpenFOAM. […]

In this course, we cover the main building blocks to solve multi-phase flow problems using the extended Discontinuous Galerkin (XDG) method. The course consists of a combination of presentations and hands-on exercises in which a simple XDG two-phase flow solver is implemented and run on some test cases within our open-source code framework BoSSS. In […]

When data is provided in an unstructured format or is high-dimensional, classical interpolation or approximation schemes as Finite-Element Methods (FEM) struggle to be accurate and efficient. An alternative is provided by kernel-based approaches in the Reproducing Kernel Hilbert space (RKHS) framework. Common applications range from support vector machines in context of machine learning to reconstruction […]