List of publications

Submitted

  1. S. Brull, P. Charrier, L. Mieussens, Gas-surface interaction and boundary conditions for the Boltzmann equation , 2013

  2. C. Baranger, J. Claudel, N. Hérouard, L. Mieussens, Locally refined discrete velocity grids for stationary rarefied flow simulations , 2013

  3. S. Brull, L. Mieussens, Local discrete velocity grids for deterministic rarefied flow simulations , 2013

  4. L. Mieussens, On the Asymptotic Preserving property of the Unified Gas Kinetic Scheme for the diffusion limit of linear kinetic models, 2013

Articles

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

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

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

  11. 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

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

  13. 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

  14. 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)

  15. 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

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

  17. 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

  18. 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. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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)

  8. 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

Main areas


Luc Mieussens Professor, Université de Bordeaux