COPERNICUS: COmpatible hyPERbolic models and advanced NumerIcs for Compressible multiphase flows on UnStructured meshes.
Marie Skłodowska-Curie Actions Postdoctoral Fellowship funded project under the Horizon 2024 programme, grant agreement No 101207132.
Host institution: Inria Bordeaux. Collaborations with Aix-Marseille University (France) and University of Trento (Italy).
Multiphase flows, where liquids, gases, and solids interact, are ubiquitous in nature and industry. Their accurate modelling is essential in fields such as aerospace, biomedical, and environmental engineering. Existing models, such as Baer-Nunziato, Kapila, and Romenski, are widely used but have important limitations as they do not account in a unified way for phenomena such as surface tension, phase transition, or elastic interactions.
The main objective is to formulate a novel model for multiphase flows, that incorporates the effects of surface tension, phase transitions, and elastic interactions between phases. This model, derived from variational principles, will ensure energy conservation, thermodynamic compatibility, and hyperbolicity. In addition, new high-order, structure-preserving numerical methods will be developed to simulate complex real-world phenomena accurately and efficiently on unstructured meshes.
Research opportunity
A post-doctoral position is available within the project, focused on high-order structure-preserving numerical methods for compressible multiphase flows with surface tension and elasticity.
The selected candidate is expected to start in October 2026. The official call for applications is available here
The position involves the development of new mathematical models and numerical methods for compressible multiphase flows, with emphasis on:
- theoretical analysis of the models
- design, implementation, and validation of numerical schemes
- high-performance computing for large-scale simulations
Applicants should have strong background in:
- numerical methods for hyperbolic PDEs
- programming in Fortran or C/C++
- high-performance computing and parallel programming
Experience with high-order numerical methods, HTC schemes or multiphase flows would be an advantage.
Participation in international conferences will be funded and strongly encouraged. Research stays in partner institutions abroad may also be supported.
If you are interested, or if you need any further information, please feel free to contact me by email at laura.delrio@inria.fr
Acknowledgement
Funded by the European Union through the Marie Skłodowska-Curie Actions Postdoctoral Fellowship under Horizon Europe, grant agreement No. 101207132.