Teams
1) Laboratoire des Sciences de l’Ingénieur pour l’Environnement de La Rochelle
(LaSIE), UMR CNRS 7356, La Rochelle Université
Contributors: C. Allery, A. Hamdouni and E. Liberge.
The LaSIE brings together a broad spectrum of skills with integrated approaches from the atomic scale to the material, the building and its environment at different time and space scales. It establishes a continuum of the development of mathematical tools to applications through numerical models, simulations and experimental. The researchers contributing to this project are recognized for works on the reduction of models (POD, PGD), interpolation of reduced basis, optimization by ROMs [Lib10], [Mos18], [Mos20], [Oul18], [Oul20], [Tal16].
2) Institut de Mécanique et Ingénierie de Bordeaux
Contributors : F. Achchaq, M. Azaiez and C. Lebot
The I2M Institute includes a large range of topics related to research fields in mechanical engineering. It is consistently in step with the major advances made in the field of mechanical engineering. It is part of several projects connected to designing the industry of the future, functional materials and sustainable housing, thermal energy storage. The researchers contributing to the present project are recognized for works on the model reduction technics [Hou19], in numerical [Li22], [Wan22] and experimental works [Duq19], [Kar19], [Leg20] in relation with PCM for thermal energy storage.
3) Institut de Mathématiques de Bordeaux
Contributors : S. Ervedoza and M. Tucsnak
The IMB brings together most of the mathematical research on the Bordeaux site. S. Ervedoza and M. Tucsnak are both well-known experts in control of partial differential equations. They are for instance members of various editorial boards including SIAM Control, ESAIM COCV, J. of Mathematical Fluid Mechanics.... Let us also emphasize that they also have interests in inverse problems, fluid mechanics, optimal control, optimization, and numerical analysis, all these questions being of relevance for our project [Er22], [LeB21].
4) Laboratoire de Mathématiques Appliquées de Compiègne
Contributors: F. Ben Belgacem and F. Jelassi
The LMAC develops high-level research in applied, deterministic and stochastic mathematics. It participates in application-oriented research and in the development of high-performance scientific computing tools. The researchers contributing to the present project are recognized for works in numerical analysis. They have extensive experience on issues related to heat transfer in PCMs [Aza16], [Ben14].
References
Azaiez M., Jelassi F., Mint Brahim M., Shen J., Two-phase Stefan problem with smoothed enthalpy. Communications in Mathematical Sciences 14 (6), (2016), 1625-1641
Ben Belgacem F., Bernardi C., Jelassi F., Mint Brahim M., Finite Element Methods for the Temperature in Composite Media with Contact Resistance. J Sci Comput 63, (2014), 478–501.
Duquesne M., Mailhé C., Ruiz-Onofre K., Achchaq F., Biosourced organic materials for latent heat storage: An economic and ecofriendly alternative, Energy, Vol. 188 (16067), (2019), p.1-11.
Hou D., Azaiez M., Xu C., A variant of scalar auxiliary variable approaches for gradient flows. Journal of Computational Physics 395, (2019), 307-332.
Karakashov B., Toutain J., Achchaq F., Legros P., Fierro V., Celzard A., Permeability of fibrous carbon materials, Journal of Materials Science, Springer Verlag, 54 (21), (2019), p.13537-13556
Ervedoza S., Maity D. and Tucsnak M., Large time behaviour for the motion of a solid in a viscous incompressible fluid. Math. Ann. (2022).
Le Balc'h K. and Tucsnak M., A penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system. ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 17.
Legros P., Lebraud E., Duquesne M., Achchaq F., Li4Br(OH)3 microstructure monitoring over its synthesis to tackle the lithium-based salts exploitation challenges as advanced phase change materials for storage technologies, Materials & Design, Vol. 196, (202) p 109160.
Li M., Azaiez M., Xu C., New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. Computers & Mathematics with Applications 109 (2022), 204-215.
Liberge E., Hamdouni A., Reduced order modelling method via Proper Orthogonal Decomposition (POD) for flow around an oscillating cylinder, Journal of Fluids and Structures 26 (2010) 292–311
Mosquera R., Hamdouni A., El Hamidi A., Allery C., “Pod basis interpolation via inverse distance weighting on grassmann manifolds,” Discrete & Continuous Dynamical Systems S (2018), p. 1743.
Mosquera R., El Hamidi A., Hamdouni A., Falaize A., “Generalization of the Neville-Aitken interpolation algorithm on Grassmann manifolds, International Journal for Numerical Methods in Fluids 93 (7) (2021), 2421–2442.
Oulghelou M., Allery C., “A fast and robust sub-optimal control approach using reduced order model adaptation techniques,” Applied Mathematics and Computation, vol. 333, (2018), pp. 416-434.
Oulghelou M., Allery C., “Non-intrusive reduced genetic algorithm for near-realtime flow optimal control", International Journal for Numerical Methods in Fluids, vol 92 (9), (2020), p 1118-1134.
Tallet A., Allery C., Leblond C., “Optimal flow control using a POD-based reduced-order model,” Numerical Heat Transfer Part B Fundamentals, (2016), pp. 1–24.
Wang W., Azaiez M., Xu C., An unconditionally stable fast high order method for thermal phase change models, Computers & Fluids, 237 (2022).
