I³MS - Munz Seminar
Prof. Dr. Claus-Dieter Munz - High Order Schemes for Unsteady Fluid Flow in Complex Geometries
Aerodynamics and Gas Dynamics, University of Stuttgart
Despite the progress made, the simulation of unsteady flow problems is still impractical for various important applications in term of user time and computational resources. Beside the increase of computer power a substantial improvement of the numerical methods is necessary, e.g., to perform high fidelity simulations of turbulent flows in industrial problems. While the standard numerical schemes in industry are second order finite volume schemes, high order schemes may be candidates for more efficient simulations of those challenging flow problems.
In this talk I propose the use of discontinuous Galerkin (DG) schemes on high performance computers to tackle complex flow problems in future. I will introduce DG schemes based on spectral elements and will then focus to two aspects in their development and implementation. One is their scalability and efficiency on modern massively parallel systems. The other is the attempt to answer the question: Are high order schemes really favorable for turbulent flow simulations with regard to their inevitable under-resolution? Simulations of benchmark problems and of industrial applications are shown to support the findings.