15 citations · 19 across the 2 of their papers we have counts for
4 papers
Generalized and graded geometry for mechanics: a comprehensive introduction
Vladimir Salnikov, Aziz Hamdouni, Daria Loziienko
In this paper we make an overview of results relating the recent "discoveries" in differential geometry, such as higher structures and differential graded manifolds with some natur…
Generalization of the Neville-Aitken Interpolation Algorithm on Grassmann Manifolds : Applications to Reduced Order Model
Rolando Mosquera, Abdallah El Hamidi, Aziz Hamdouni +1
The interpolation on Grassmann manifolds in the framework of parametric evolution partial differential equations is presented. Interpolation points on the Grassmann manifold are th…
From modelling of systems with constraints to generalized geometry and back to numerics
Vladimir Salnikov, Aziz Hamdouni
In this note we describe how some objects from generalized geometry appear in the qualitative analysis and numerical simulation of mechanical systems. In particular we discuss doub…
Consequences of Symmetries on the Analysis and Construction of Turbulence Models
Dina Razafindralandy, Aziz Hamdouni
Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, ...), symmetries are used to analyse common turbulence…