The Laboratory for Research in Hydrodynamics, Energy and Atmospheric Environment (LHEEA) is composed of 140 persons and divided into 5 research teams and 2 experimental teams under the authority of the laboratory director. The LHEEA is managed by two CNRS and Ecole Centrale de Nantes trustees and also interacts a great deal with the subsidiary of École Centrale Innovation. This post-doc position will be integrated into the METHRIC team (Modeling turbulent flows Top Reynolds Incomprehensible and coupling)
Description du poste
Cost effective DG implementations with hybridization will be explored. Different hybridization techniques including discontinuous mass flux HDG, continuous mass flux HDG and point-wise divergence free HDG will be developed and compared so the best option can be identified for two different targets. The first one is based on a moderate order of polynomial approximation but optimized for order of accuracy aiming at RANSE simulation, and the second one is based on high order polynomial approximation optimized for numerical stability aiming at hybrid RANSE/LES simulation. A hp adaptation can be used to combine both optimal approaches for practical application.
This post-doc position focuses on higher order discretization (3rd order and higher) of the Incompressible Navier-Stokes Equation for hydrodynamic application with complex geometry at high Reynolds including free-surface. It is performed in the framework of Discontinuous Galerkin (DG) approach implemented for unstructured hybrid mesh containing non-conforming tetrahedral, pyramidal, prism and hexahedral elements. Free-surface discontinuity will be handled with XDG. Morphing and moving mesh with high order curved elements needs to be taken into account. The target application is hydrodynamic engineering simulation with RANSE or hybrid RANSE/LES modelization.