Recent research projects

• Ocean/Atmosphere interactions modelling

collaborators: F. Veron, P. Lubin, S. Glockner, M. Coquerelle
talks: .pdf (in french)
publications:
• F. Veron, L. Mieussens, An Eulerian model for sea spray transport and evaporation, Journal of Fluid Mechanics, 897 A6 (2020) Preprint

• F. Veron, L. Mieussens, A kinetic model for particle-surface interaction applied to rain falling on water waves, Journal of Fluid Mechanics, 796, 767-787 (2016) Preprint

• Aerodynamics

collaborators : G. Gallice, G. Jeanmasson, I. Mary, S. Peluchon
publications :
• G. Jeanmasson, I. Mary, L. Mieussens, On some explicit local time stepping finite volume schemes for CFD, Journal of Computational Physics, 397 (2019) Preprint

• S. Peluchon, G. Gallice, L. Mieussens, A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows, Journal of Computational Physics, 339(15), 328-355 (2017) Preprint

• Models and numerical methods for rarefied gases, application to atmospheric reentry

collaborators: K. Aoki, C. Baranger, S. Brull, Y. Dauvois, L. Forestier-Costes, M. Gorji, N. Hérouard, E. Jun, G. Martalò, J. Mathé, J. Mathiaud, Y. Prevereaud, M. Schouler
publications:
• M. Schouler, Y. Prévereaud, L. Mieussens Survey of flight and numerical data of hypersonic rarefied flows encountered in earth orbit and atmospheric reentry, Progress in Aerospace Sciences, Volume 118, (2020)

• J. Mathiaud, L. Mieussens, BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy, Journal of Statistical Physics (2020) Preprint

• C. Baranger, Y. Dauvois, G. Marois, J. Mathé, J. Mathiaud, L. Mieussens, A BGK model for high temperature rarefied gas flows, European Journal of Mechanics - B/Fluids, 80 (2020) Preprint

• C. Baranger, N. Hérouard, J. Mathiaud, L. Mieussens, Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries, Mathematics and Computers in Simulation, 159, 136-153 (2019) Preprint

• K. Aoki, C. Baranger, M. Hattori, S. Kosuge, G. Martalò, J. Mathiaud, L. Mieussens, Slip boundary conditions for the compressible Navier-Stokes equations Journal of Statistical Physics, 168(5), 1031-1055 (2017) Preprint

• J. Mathiaud, L. Mieussens, A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases, Journal of Statistical Physics, 168(5), 1031-1055 (2017) Preprint

• J. Mathiaud, L. Mieussens, A Fokker-Planck model of the Boltzmann equation with correct Prandtl number, Journal of Statistical Physics, 162(2), 397-414 (2016) Preprint

• S. Brull, L. Forestier-Costes, L. Mieussens, Two dimensional local adaptive discrete velocity grids for rarefied flow simulations, AIP Conf. Proc. 1786, 180002 (2016), PROCEEDINGS OF THE 30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, Preprint

• S. Brull, L. Mieussens, Local discrete velocity grids for deterministic rarefied flow simulations , J. Comput. Phys., 266(1), 22-46 (2014) Preprint

• C. Baranger, J. Claudel, N. Hérouard, L. Mieussens, Locally refined discrete velocity grids for stationary rarefied flow simulations , J. Comput. Phys., 257(15), 572-593 (2014) Preprint

• Models and numerical methods for micro gas flows

collaborators: K. Aoki, P. Degond, G. Dechristé, S. Takata, H. Yoshida
brief presentation: .pdf
talks: .pdf
publications:
• G. Dechristé, L. Mieussens, A Cartesian Cut Cell Method for Rarefied Flow Simulations around Moving Obstacles, J. Comput. Phys., 314, 465-488 (2016) Preprint

• K. Aoki, P. Degond, et L. Mieussens, Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect, Commun. Comput. Phys., 6, 919-954 (2009) Preprint

• K. Aoki, P. Degond, L. Mieussens, S. Takata, et H. Yoshida, A diffusion model for rarefied flows in curved channels, SIAM MMS 6(4), 1281-1316 (2008). Preprint

• Asymptotic preserving schemes for kinetic equations

collaborators: M. Bennoune, M. Lemou, J.-G. Liu
brief summary: .pdf
publications:
• L. Mieussens, On the Asymptotic Preserving property of the Unified Gas Kinetic Scheme for the diffusion limit of linear kinetic models, J. Comput. Phys., 253(15), 138-156 (2013) Preprint

• J.-G. Liu, L. Mieussens, Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit, SIAM J. Numer. Anal. 48(4), 1474-1491 (2010) Preprint

• M. Bennoune, M. Lemou, L. Mieussens, Uniformly stable numerical schemes for the Boltzmann equation preserving compressible Navier-Stokes asymptotics, J. Comput. Phys. 227(8) 3781-3803 (2008) Preprint

• M. Lemou, L. Mieussens, A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit, SIAM J. Sci. Comp. 31(1) 334-368 (2008) Preprint

• simulation code for rarefied flows

project : CORBIS (COde Raréfié Bidimensionnel Implicite Stationnaire)
brief summary: .pdf