PHOENICS

Provably-stable High Order Embedded methods for Nonlinear Conservation lawS

PHOENICS is a project funded by the French National Research Agency (ANR) through the young researcher (JCJC) programme.  

PHOENICS develops a new generation of high-order numerical methods for the simulation of conservation laws on complex, possibly moving, geometries. The project is built on embedded boundary techniques, which avoid the costly generation of body-fitted curvilinear meshes by embedding complex boundaries into simple Cartesian grids. 

To address these challenges, PHOENICS combines state-of-the-art embedded methods within a discontinuous Galerkin framework. The project establishes a unified theoretical formulation of these boundary treatments and performs a rigorous stability analysis. Building on these foundations, it develops h-p adaptive strategies and implicit-explicit time integration schemes tailored to the locality of DG methods. The resulting framework will be implemented on high-performance computing architectures and validated on realistic applications. 

Open positions

• 5-month Master internship. Link to the internship offer.

• 3-year fully-funded PhD. Link to the PhD offer .

People recruited will join the Laboratoire Jacques-Louis Lions (LJLL) in Paris.