I am Wassim Aboussi
Ph.D. student in mathematics at Sorbonne Paris Nord University and Sidi Mohamed Ben Abdellah University under the supervision of Fayssal Benkhaldoun, Jaouad Bennouna, and Abdallah Bradji.
Research Interests
Finite Volume Methods.
Numerical approximation for hyperbolic equations: Euler equations.
Existence and uniqueness of the solution of Navier-Stokes equations.
Non-Newtonian fluids: Bingham model.
Numerical approximation for Compressible Navier Stokes equations.
Preprints and Papers
Aboussi, W., Ziggaf, M., Kissami, I., Boubekeur, M. (2023). A Finite Volume Scheme with a Diffusion Control Parameter on Unstructured Hybrid Mesh: Application to Two-Dimensional Euler Equations. In: Franck, E., Fuhrmann, J., Michel-Dansac, V., Navoret, L. (eds) Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA 2023. Springer Proceedings in Mathematics & Statistics, vol 433. Springer, Cham.
doi: https://doi.org/10.1007/978-3-031-40860-1_1
Aboussi, W., Ziggaf, M., Kissami, I., Boubekeur, M.: A highly efficient finite volume method with a diffusion control parameter for hyperbolic problems. Math. Comput. Simul. 213(1):177– 193 (2023).
doi: https://doi.org/10.1016/j.matcom.2023.05.023
Aberqi, A., Aboussi, W., Benkhaldoun, F. et al. Homogeneous incompressible Bingham viscoplastic as a limit of bi-viscosity fluids. J Elliptic Parabol Equ 9, 705–724 (2023).
doi: https://doi.org/10.1007/s41808-023-00221-z
Aboussi, W., Benkhaldoun, F., Bradji, A. (2023). SUSHI for a Bingham Flow Type Problem. In: Georgiev, I., Datcheva, M., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2022. Lecture Notes in Computer Science, vol 13858. Springer, Cham.
Talks and Posters
Finite volume method with diffusion control parameter for the compressible Navier-Stokes equation: Application to supersonic flow over a flat plate. Scheduled to be presented in ECCOMAS2024, June 2024, Lisbon, Portugal.
TBA, Séminaire de Modélisation et Calcul Scientifique (LAGA), April 22, 2024, Villetaneuse, France.
A finite volume scheme with a diffusion control parameter on unstructured hybrid mesh: application to two-dimensional Euler equation. Presented in FVCA10 conference, October 30, 2023, Strasbourg, France. Slides Simulation
A highly efficient finite volume method with a diffusion control parameter for hyperbolic problems. Presented in Numhyp23 conference, June 26-30, 2023, Bordeaux, France. Poster Simulation
A fast FVC method with a diffusion control parameter for hyperbolic problems. Presented in the 35th Seminar on CFD, January 23-24, 2023, Paris, France. Poster
SUSHI for a Bingham Flow Model. Presented in NM&A'22 conference, August 22-26, 2022, Borovets, Bulgaria. Slides
Non-Newtonian fluid models: some existing results and advances. Presented in ICNTAM conference, May 19–21, 2022, Béni Mellal, Morocco. Slides
Teaching
M1. Introduction à la programmation: Python (Cours/TP).
Sup Galilieé. Mathématiques pour Ingénieurs (TD).
BUT3. Intégrales multiples et courbes paramétrées (TD).
L1. Outils Mathématiques 1 (TD).
L1. Algèbre linéaire et algorithmique (TD).
L1. Outils mathématiques 2 (TD).
- 2022/2023 (University Institute of Technology, Sorbonne Paris Nord University, Villetaneuse, France)
BUT2. Langages et Automates (Cours/TD).
BUT1. Outils numériques pour les statistiques descriptives (Cours/TP).
BUT1. Méthodes numériques (Cours/TD).
- 2021/2022 (University Institute of Technology, Sorbonne Paris Nord University, Villetaneuse, France)
BUT1. Outils mathématiques fondamentaux (Cours/TD).
BUT1. Outils numériques pour les statistiques descriptives (Cours/TP).
BUT2. Modélisations mathématiques (Cours/TP).
- 2020/2021 (University Institute of Technology, Sorbonne Paris Nord University, Villetaneuse, France)
BUT1. Calcul différentiel et intégral (TD).
BUT1. Analyse de Fourier (TP).
I enjoyed these documents/tutorials:
by Robert Eymard, Thierry Gallouët, Raphaèle Herbin
by G. Galdi.
by Pierre Gilles Lemarie-Rieusset
by H. Versteeg and W. Malalasekera