Tools and methods

We have extended expertise developing computer codes and running them at different high performance computing centers. From the theoretical side we have a background on dynamical systems and their application to rationalize the complexity of turbulent flows. We also use analytical analysis of the governing equations (e.g. WKB analysis).

Numerical methods and codes used and developed by the group:

• Finite-Element Method:we use  oomph-lib, which is an object-oriented, open-source finite-element library for the simulation of multi-physics problems, developed and maintained by Matthias Heil and Andrew Hazel of the School of Mathematics at The University of Manchester
• Finite-Volume Method: we use FASTEST–3D is an MPI-parallel finite-volume flow solver based on block-structured meshes that has been developed at the Lehrstuhl für Strömungsmechanik at the Friedrich-Alexander-Universität Erlangen-Nürnberg since the early 1990s. We also use the popular open-source CFD code OpenFOAM.
• High-order methods (spectral and finite-difference): we have developed massively parallel codes for pipe and Taylor-Couette flow, including convection and multiphase flow with a diffuse-interface approach (Cahn-Hilliard-Navier-Stokes equations). See our base code nsCouette (Fortran with hybrid OpenMP-MPI programming) and let us know if you would like to use it, we will be happy to share it. We also use openpipflow.org developed by Ashley P. Willis of the School of Mathematics and Statistics at The University of Sheffield.