Particle methods


We are interested in the following questions
  • the design and application of immersed boundary particle methods [1,8]
  • the design and application of multi-level particle methods [2,10]
  • the extension of particle methods to multi-physics [4,5,6]
  • the design and analysis of remeshed (or semi-Lagrangian) particle methods [3,9,13,14]
  • the application of semi-Lagrangian particle methods to hybrid simulations of turbulent transport [11,12]
  • the application of semi-Lagrangian particle methods to high-dimensional Vlasov-Poisson equations [15]



Adaptive multi-level particle method for the filamentation of an elliptic vortex blob.
Left: vorticity, right: particle concentration (movie)

[1] G.-H. Cottet and P. Poncet,  Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods,   J. Comp. Phys.,  193,  136-158, 2004 pdf file

[2] M. Bergdorf, G.-H. Cottet and P. Koumoutsakos, Multilevel Adaptive Particle Methods for Convection-Diffusion Equations,   SIAM Multiscale Modeling and Simulation,  4,  328-357,  2005. pdf file

[3] G.-H. Cottet and L. Weynans,  Particle methods revisited: a class of high-order finite-difference schemes,   C. R. Acad. Sci. Paris, Ser. I 343, 51-56, 2006. pdf file

[4] G.-H. Cottet,  A particle model for fluid-structure interaction,  C. R. Acad. Sci. Paris, 3,  833-838,  2002. pdf file

[5] G.-H. Cottet,  Multi-physics and particle methods,  in Computational Fluid and Solid Mechanics, 1296-8, Elsevier,  2003. pdf file

[6] M. Coquerelle and G.-H. Cottet,  A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies, J. Comp. Phys.,  227, 9121-9137, 2008. pdf file

[7] G.-H. Cottet and A. Magni,  TVD remeshing schemes for particle methods,   C. R. Acad. Sci. Paris, Ser. I, 347 (2009). pdf file

[8] D. Rossinelli, M. Bergdorf, G.-H. Cottet and P. Koumoutsakos,  GPU accelerated simulations of bluff body  flows using vortex methods, J. Comput. Phys., 229 (9), 3316–3333, 2010. pdf file

[9] A. Magni and G.-H. Cottet,  Accurate, non-oscillatory remeshing schemes for particle methods, J. Comput. Phys., 231 (1), 152–172, 2012.  pdf file

[10] J. Rasmussen, G.-H. Cottet and J. Walther,  A multiresolution remeshed Vortex-In-Cell algorithm using patches,  J. Comp. Phys., 230, 6742–6755, 2011.  pdf file

[11] J.-B. Lagaert, G. Balarac and G.-H. Cottet,  Particle method: an efficient tool for direct numerical simulations of a high Schmidt number passive scalar in turbulent flow,  Proceedings of the Summer Program, Center of Turbulence Research, Stanford, 167-176, 2012. pdf file

[12] J.-B. Lagaert, G. Balarac and G.-H. Cottet,  Hybrid spectral particle method for the turbulent transport of passive scalar,  J. Comp. Phys., 260, 127-142, 2014.. pdf file

[13] G.-H. Cottet, J.-M. Etancelin, F. Perignon and C. Picard,  High order Semi-Lagrangian particles for transport equations: numerical analysis and implementation issues,  ESAIM: Mathematical Modelling and Numerical Analysis, 48, 1029-1060, 2014. doi, pdf file

[14] G.-H. Cottet  High order semi-lagrangian particle methods, International Conference on High Order and Spectral Methods (ICOSAHOM 2016), June 2016, Rio de Janeiro, Brasil. pdf file

[15] G.-H. Cottet  Semi-Lagrangian particle methods for high-dimensional Vlasov-Poisson systems, September 2017, Journal of Computational Physics, 365, 362-375, 2018. pdf file