List of publications

Submitted

  1. E. Jun, M. Gorji, L. Mieussens, A Comparative Study Between Cubic and Ellipsoidal Fokker-Planck Kinetic Models , 2018

  2. C. Baranger, G. Marois, J. Mathé, J. Mathiaud, L. Mieussens, A BGK model for high temperature rarefied gas flows, 2018

Articles

  1. 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 (to appear) Preprint

  2. 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

  3. 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

  4. 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

  5. S. Brull, P. Charrier, L. Mieussens, Nanoscale roughness effect on Maxwell-like boundary conditions for the Boltzmann equation, Phys. Fluids 28, 082004 (2016) Preprint

  6. 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

  7. G. Dechristé, L. Mieussens, A Cartesian Cut Cell Method for Rarefied Flow Simulations around Moving Obstacles, J. Comput. Phys., 314, 465-488 (2016) Preprint,

  8. 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

  9. G. Dimarco, L. Mieussens, V. Rispolli, An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas, J. Comput. Phys., 274(1), 122-139 (2014) Preprint

  10. S. Brull, P. Charrier, L. Mieussens, Gas-surface interaction and boundary conditions for the Boltzmann equation , Kinetic and Related Models 7(2), 219-251, (2014) Preprint

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

  12. 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

  13. 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

  14. 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

  15. P. Degond, G. Dimarco, L. Mieussens, A multiscale kinetic-fluid solver with dynamic localization of kinetic effects , J. Comput. Phys. 229(13), 4907-4933 (2010) Preprint

  16. M. Bennoune, M. Lemou, L. Mieussens, An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit, Cont. Mech. Thermodyn. 21(5), 401-421 (2009) Preprint

  17. 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

  18. 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. Comput. 31(1), 334-368 (2008) Preprint

  19. 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

  20. 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

  21. P. Degond, G. Dimarco, et L. Mieussens, A moving interface method for dynamic kinetic-fluid coupling, J. Comput. Phys. 227(10), 1176-1208 (2007). Preprint

  22. P. Degond, J.-G. Liu et L. Mieussens, Macroscopic fluid models with localized kinetic upscaling effects , SIAM MMS 5(3), 940-979 (2006). Preprint

  23. M. Lemou, L. Mieussens, Implicit schemes for the Fokker-Planck-Landau equation, SIAM J. Sci. Comp. 27(3), 809-830 (2005). Preprint

  24. P. Degond, S. Jin et L. Mieussens, A smooth coupling transition model between kinetic and hydrodynamic equations , J. Comput. Phys. 209, 665-694 (2005). Preprint

  25. L. Mieussens, H. Struchtrup, Numerical comparison of BGK-models with proper Prandtl number, Phys. Fluids 16(8), 2797-2813 (2004). Preprint

  26. J.-P. Bourgade, A. Mellet, et L. Mieussens, Numerical comparison between two Spherical Harmonics Expansion models and a kinetic equation, Mathematical and Computer Modelling, 40(7/8), 777--795 (2004). Preprint

  27. P. Charrier, B. Dubroca, L. Mieussens, et R. Turpault, Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer, IMA Volumes in Mathematics and its Applications, Volume 135: Transport in Transition Regimes, 85-103 (2003)

  28. B. Dubroca, L. Mieussens, A conservative and entropic discrete-velocity model for rarefied polyatomic gases, ESAIM-Proceedings Vol. 10 - CEMRACS 1999, 127-139 (2001). Preprint

  29. L. Mieussens, Convergence of a discrete-velocity model for the Boltzmann-BGK equation, Computers Math. Applic., 41(1-2), 83-96 (2001). Preprint

  30. L. Mieussens, Discrete velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries, J. Comput. Phys. 162, 429-466 (2000). Preprint

  31. L. Mieussens, Discrete Velocity Model and Implicit Scheme for the BGK Equation of Rarefied Gas Dynamics, Math. Models and Meth. Appl. Sci., 8(10), 1121-1149 (2000). Preprint

Short Notes

  1. M. Lemou, L. Mieussens, Fast implicit schemes for the Fokker-Planck-Landau equation, C.R. Acad. Sci. Paris, Ser. 1 338 (2004)

  2. L. Mieussens, Convergence d'un modèle à vitesses discrètes pour l'équation de Boltzmann-BGK, C.R. Acad. Sci., Paris, t. 328 (12), Série I, 1231-1236, 1999

  3. P. Charrier, B. Dubroca, J.-L. Feugeas, et L. Mieussens, Modèles à vitesses discrètes pour le calcul d'écoulements hors équilibre cinétique, C.R. Acad. Sci., Paris, t. 326 (11), Série I, 1347-1352, 1998

Proceedings

  1. C. Baranger, L. Desvillettes N. Hérouard, J. Mathé, J. Mathiaud, J.F. Poustis, L. Mieussens, M. Varenne-Pellegrini, Modeling, numerical method and validation for the simulation of hypersonic rarefied gas flows , 7th european conference for aeronautics and aerospace sciences (eucass) (2017) Preprint

  2. 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

  3. L. Mieussens, A survey of deterministic solvers for rarefied flows (Invited), AIP Conf. Proc. 1628, 943 (2014), PROCEEDINGS OF THE 29TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, Preprint

  4. S. Brull and L. Mieussens, A numerical adaptative method for solving kinetic equations based on local velocity grids, AIP Conf. Proc. 1628, 962 (2014), PROCEEDINGS OF THE 29TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS

  5. G. Dechristé, L. Mieussens, A cut cell method for the 3D simulation of Crookes radiometer, AIP Conf. Proc. 1628, 988 (2014), PROCEEDINGS OF THE 29TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, Preprint

  6. G. Dechristé, L. Mieussens, A moving mesh approach for the numerical simulation of gas micro flows, AIP Conf. Proc. 1501, pp. 366-372, 28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, Preprint

  7. C. Baranger, J. Claudel, N. Hérouard, and L. Mieussens, Locally refined discrete velocity grids for deterministic rarefied flow simulations, AIP Conf. Proc. 1501, pp. 389-396, 28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, Preprint

  8. G. Dechristé, L. Mieussens, Numerical simulation of micro flows with moving obstacles, proceedinfs of the 1st European Conference on Gas Micro Flows (GasMems 2012), 2012 J. Phys.: Conf. Ser. 362 012030, Preprint

  9. C. J. T. Laneryd, K. Aoki, P. Degond, et L. Mieussens, Thermal creep of a slightly rarefied gas through a channel with curved boundary, In M. S. Ivanov and A. K. Rebrov, editors, Rarefied Gas Dynamics, pages 1111-1116, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2007

  10. K. Aoki, P. Degond, L. Mieussens, M. Nishioka, et S. Takata, Numerical simulation of a Knudsen pump using the effect of curvature of the channel, In M. S. Ivanov and A. K. Rebrov, editors, Rarefied Gas Dynamics, pages 1079-1084. Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2007

  11. M. Lemou, L. Mieussens, Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation, Actes du 6th MAFPD (Kyoto, 2004), Bulletin of the Institute of Mathematics, Academia Sinica (New Series), Volume 2, N. 2, pp. 533-567, 2007

  12. L. Mieussens, H. Struchtrup, Numerical solutions for the BGK-model with velocity-dependent collision frequency, Symposium on Rarefied Gasdynamics 23, AIP Conference Proceedings 663, 320-327 (2003)

  13. P. Charrier, B. Dubroca, et L. Mieussens, A Numerical Method for Rarefied Flow Computation using a Discrete Velocity BGK model, in Rarefied Gas Dynamics (Volume 1), R. Brun, R. Campargue, R. Gatignol, and J.C. Lengrand, eds., Cépaduès éditions, 1999

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Luc Mieussens Professor in applied mathematics, Bordeaux Institut National Polytechnique (Engineering School ENSEIRB-MATMECA)