WANTED "Workshop on Advanced Numerical Techniques & Discretization" à Bordeaux

Program

PROGRAM

	20/03
	Who?	Title	Abstrract
9:00 - 9:45	Takis Panagiotis, Cranfield, U.K Professor of Computational Fluid Dynamics	Hybrid Finite-Volume Reconstruction Framework for Efficient High-Order Shock-Capturing on Unstructured Meshes.
9:45 - 10:30	Pep Mulet Mestre, Valencia, Spain Professor of Applied Mathematics	Polydisperse sedimentation simulation on unstructured meshes using an invariant-region-preserving scheme
10:30 - 11:00		PAUSE CAFE
11:00 - 11:45	Rémi Abgrall, Zürcih, Switzerland Professor of  Mathematics,   Institut für Mathematik	An improved version of the Active Flux (PAMPA version) for non linear hyperbolic problems.	We consider a non linear hyperbolic systems, typically the Euler equations for fluid mechanics and propose an algorithm where  the solution is sought as globally continuous. We name this method PAMPA (for Point-Average-Moment PolynomiAl-interpreted)for  The scheme is locally conservative, and there is no mass matrix to invert. This method had been developed in a series of papers, see e.g [2] and the references therein. In [1], we had shown the connection between PAMPA and the discontinuous Galerkin method, for  linear hyperbolic problem. Taking advantage of this reinterpretation, we use it to define a family of methods, show how to implement the boundary conditions in a rigorous manner. In addition, we propose a method that complements the bound preserving method developed in [1] in the sense that it is non oscillatory. A truncation error analysis is provided, it shows that the scheme should be third order accurate for smooth solutions. This is confirmed by numerical experiments. Several numerical examples are presented to show that the scheme is indeed  bound preserving and non oscillatory on a wide range on numerical benchmarks. [1] Abgrall, R{\'e}mi and Liu, Yongle and {\"O}ffner, Philipp  Some new properties of the {PAMPA} scheme, arXiv:2508.17147, 2025 [2] Abgrall, R{\'e}mi and Boscheri, Walter and Liu, Yongle, Virtual finite element and hyperbolic problems: the {PAMPA} algorithm,  J. Comput. Phys, 546, 2025
11:45 - 12:30	Héloise Beaugendre, Bordeaux INP, France Professor of  Mathematics, Bordeaux INP and IMB	Conservative numerical modeling of an ablative charring heat shield under deformations	Work with  Alexis Cas, Céline Baranger, Simon Peluchon During atmospheric hypersonic re-entry, the heat shield endures extreme conditions, due to very high heat flux, and will be largely damaged. By sacrificing itself, the thermal protection system lowers the temperature through in-depth degradation, due to pyrolysis chemical decomposition and through surface degradation, due to ablation. Furthermore, the thermal protection system undergoes material deformation throughout its heating. In order to control pyrolysis, deformation and ablation phenomena, a proper understanding and modeling is required. The aim of this work is to combine the modeling of these three phenomena, using macroscopic models, in order to understand their interactions and accurately determine the thermal and mechanical response of the material. Therefore, a model of ablative-pyrolysis-thermal coupling of heat shield under deformations has been developed. Considering thermal deformations, a new pyrolysis model has been established, while an empirical deformation law has been used. Special importance was given to preserving the mass and energy conservation.
12:30 - 14:00		BUFFET
14:00 - 14:45	Michael Dumbser, Trento, Italy Full Professor,  Department of Civil, Environmental and Mechanical Engineering	A simple and general framework for the construction of exactly div-rot-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes
14:45 - 15:30	Lucas Tallois, CEA Cesta, Bordeaux, France Ingénieur chercheur CEA Cesta	Numerical simulation of liquid ablation.
15:30 - 16h15		PAUSE
16:15 - 17:00	Mario Ricchiuto, Inria, Bordeaux, France Directeur de Recherche Inria	Finite elements, multidimensional Riemann solvers and residual distribution: unified view and some recent results
17:00 - 17:45		DISCUSSION AND CLOSING
17:45 - 18:00
18:00 - ...		ICE BREAKING "aux Halles" DINER Le Plana (for the presenters)