Lehrende: Prof. Dr.-Ing. Dominik Schillinger
Veranstaltungsart: Vorlesung und Übung
Orga-Einheit: FB13 Bau- und Umweltingenieurwissenschaften
Anzeige im Stundenplan: FiniteElementsIII_vu
Fach:
Anrechenbar für:
Semesterwochenstunden: 4
Unterrichtssprache: Englisch
Min. | Max. Teilnehmerzahl: - | -
Lehrinhalte: Part I: Fundamentals, mathematical background and problem statements 1. Prototypical fluid mechanics equations: the advection(-diffusion), Burgers, Stokes and Navier-Stokes equations 2. Relevant components of functional analysis theory 3. Analysis of the model equations with emphasis on the challenges of finite element formulations Part II: Solution strategies 1. Stabilized methods; Galerkin least-squares (GLS), artificial diffusion, streamline-upwind Petrov-Galerkin (SUPG) 2. Suitable interpolation pairs in mixed methods (e.g. Taylor-Hood) 3. Discontinuous Galerkin methods Part III: Multiscale modeling 1. A short introduction to the physics of turbulence 2. Classical turbulence models: Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES) 3. The variational multiscale method
Voraussetzungen: Finite elements I
Weitere Informationen: Learning Outcomes: Understanding of potential benefits of using the finite element method for flow problems, advanced aspects of finite element theory and challenges that arise when the finite element method is applied to flow problems. Knowledge of stabilized methods, discontinuous Galerkin formulations and suitable velocity/pressure interpolation pairs. Basic understanding of turbulence modeling and the variational multiscale method, including some open research questions in this area. Understanding of the advantages and disadvantages of the finite element method in this context with respect to finite volume methods.
Online-Angebote: Moodle
