Publications

Published articles:

1. G. Dimarco, R. Loubère, V. Michel-Dansac, M.-H. Vignal       (pdf)   (preprint (HAL, arXiv))
   Second order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime.
   J. Comput. Phys., 372:178–201, 2018
   
2. V. Michel-Dansac, C. Berthon, S. Clain and F. Foucher       (pdf)   (preprint (HAL))
   A well-balanced scheme for the shallow-water equations with topography and Manning friction.
   J. Comput. Phys., 335:115–154, 2017
   
3. V. Michel-Dansac, C. Berthon, S. Clain and F. Foucher       (pdf)   (preprint (HAL))
   A well-balanced scheme for the shallow-water equations with topography.
   Comput. Math. Appl., 72(3):568–593, 2016
   

Published short communications:

1. C. Berthon et V. Michel-Dansac       (pdf)   (preprint (HAL))
   A simple fully well-balanced and entropy preserving scheme for the shallow-water equations.
   Appl. Math. Lett., 86:284–290, 2018
   

Peer-reviewed conference proceedings:

1. V. Michel-Dansac and A. Thomann       (preprint (HAL))
   On high-accuracy L^∞-stable IMEX schemes for scalar hyperbolic multi-scale equations., accepted, 2019
   
2. C. Berthon, R. Loubère et V. Michel-Dansac       (pdf)   (preprint (HAL))
   A second-order well-balanced scheme for the shallow-water equations with topography.
   Theory, Numerics and Applications of Hyperbolic Problems I.
   Springer International Publishing, 2018, pp. 165–177
   
3. C. Berthon, M. de Leffe and V. Michel-Dansac       (pdf)   (preprint (HAL))
   A conservative well-balanced hybrid SPH scheme for the shallow-water model.
   Finite volumes for complex applications. VII. Elliptic, parabolic and hyperbolic problems,
   Vol. 78. Springer Proc. Math. Stat. Springer, Cham, 2014, pp. 817–825
   

Preprints:

1. V. Michel-Dansac, C. Berthon, S. Clain and F. Foucher       (preprint (HAL, arXiv))
   A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction., 2020
   
2. V. Michel-Dansac and A. Thomann       (preprint (HAL))
   TVD IMEX Runge-Kutta schemes based on arbitrarily high order Butcher tableaux., 2020
   
3. V. Michel-Dansac, P. Noble et J.-P. Vila       (preprint (HAL))
   Consistent section-averaged shallow water equations with bottom friction., 2018
   

Work in progress:

• Numerical simulation of the Gironde estuary with 2D/1D methods,
  with R. Baraille (IMT & SHOM, Toulouse, France), F. Couderc (IMT & INSA Toulouse, France) and J.-P. Vila (IMT & INSA Toulouse, France)
  
• Optimization of TVD IMEX schemes for stiff problems,
  with A. Thomann (Univ. Insubria, Italy)
  
• Multi-scale topography effects in shallow water,
  with J.-P. Vila (IMT & INSA Toulouse, France)
  
• Uncoupled multidimensional extension of Suliciu relaxation schemes,
  with A. Thomann (Univ. Insubria, Italy) and M. Zenk (Univ. Würzburg, Germany)
  

PhD thesis :

• V. Michel-Dansac       (pdf)
  Development of high-order well-balanced schemes for geophysical flows.
  University of Nantes, September 2016