Engineer – researcher in applied Mathematics
2 rue Simone Iff – CS 42112 – 75589 Paris Cedex 12 – FRANCE
PhD thesis: Numerical analysis and discrete approximation of a dispersive Shallow Water model.
Download the thesis here.
Directed by Edwige Godlewski and Jacques Sainte-Marie.
In this PhD thesis we are interested in the numerical approximation of a dispersive shallow water system, aimed at modeling the free surface flows (e.g. ocean and rivers) and motivated by applications for natural hazards and sustainable energy resources. This model is a depth-averaged Euler system and takes into account a non-hydrostatic pressure which brings crucial information for understanding the behavior of the flow, particularly when dispersion occur.
Some numerical simulations:
|Simulation using hydrostatic vs non-hydrostatic model|
Aïssiouene, M. O. Bristeau, A. Mangeney, E. Godlewski, C. Parés, and J. Sainte-Marie. A numerical method for a two-dimensional dispersive Shallow Water system. Submitted, 2016.
Aïssiouene, M. O. Bristeau, E. Godlewski, and J. Sainte-Marie. A robust and stable numerical scheme for a depth-averaged Euler system. Submitted, 2016. https://hal.inria.fr/hal-01162109
Aissiouene, M.-O. Bristeau, E. Godlewski, and J. Sainte-Marie. A combined finite volume – finite element scheme for a dispersive shallow water system. Networks and Heterogeneous Media, 11(1):1–27, 2016. http://aimsciences.org/journals/pdfs.jsp?paperID=12227&mode=full
Aïssiouene, T. Amtout, M. Brachet, E. Frénod, R. Hild, C. Prud’homme, A. Rousseau, S. Salmon. A coupled model for unsteady stokes/exner equations and numerical results with feel++ library. Submitted, CEMRACS 2015, 2015, Marseille, France. https://hal.archives-ouvertes.fr/hal-01223427
2014: Calculus, 36 hours - UPMC (Jussieu)
2015: Matrix calculus on Scilab, 36 hours - UPMC (Jussieu)
2015: Practical session: propagation of tsunamis , M2, 8 hours - IPGP Paris