Guillaume Puigt

Finite volume formulation for unstructured grid

• Cell-centred and cell-vertex approaches
• Second-order and higher-order polynomial reconstruction from averaged quantities
• Robust schemes on anisotropic elements
• Convection and diffusion schemes for the Navier-Stokes equations
• Time integration for steady and unsteady solutions, explicit, implicit, and semi-implicit methods and schemes

High-order discontinuous spectral approaches for unstructured grid

• Discontinuous Galerkin, Spectral Difference, and Flux Reconstruction techniques
• Extension of the Spectral Difference method to tetrahedrons and prisms
• Their extensions to multispecies reacting flows
• Their extensions to handle shocks, especially for hypersonic flows, including entropy-stable schemes
• High-Performance Computing for CFD

Mesh enhancement

• h- and hp- mesh adaptation for high-order discontinuous spectral approaches
• Anisotropic mesh adaptation for tetrahedron (in strong collaboration with Dr. Frédéric Alauzet - INRIA Gamma Team)

Main solver development

• JAGUAR is based on the Spectral Difference method
• SoNICS is a new CFD solver based on the Finite Volume approach, with an enhanced HPC capability
• elsA is ONERA's Finite Volume CFD code for non-reacting flows
• CEDRE is ONERA's Finite Volume CFD code for multi-physics including energetics

Involvement in other solvers

• TARANIS is a cell-vertex Finite Volume solver dedicated to fluid plasmas and it is coupled with mesh adaptation, in collaboration with DPHY Department of ONERA
• MAXWELL3D solves Maxwell's equation using many discretization methods, including Finite Volume, Discontinuous Galerkin, Spectral difference, and mimetic schemes, in collaboration with DEMR Department of ONERA and INSA.
• DEEP-DIVE (DEvEloPment Device for Implementing and Validating Experimental schemes) is my Finite Volume prototype for testing schemes
• DEEP-DIVE-CV (DEvEloPment Device for Implementing and Validating Experimental schemes in the Cell Vertex framework) is my prototype for testing schemes for cell-vertex formulation

Application fields

• Euler and Navier-Stokes equations from transonic to hypersonic flows
• Multi-species reacting flows
• Turbomachinery including periodic and aperiodic solutions
• Combustion in aeronautic chambers