15 citations · 28 across the 7 of their papers we have counts for
8 papers
Group theoretic approach and analytical solutions of the compressible Navier-Stokes equations
Dina Razafindralandy, Aziz Hamdouni
A group theoretic analysis of the compressible Navier-Stokes equations of an ideal gas are carried out. The 12-dimensional Lie symmetry group is computed. The commutation table and…
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…
Performance of Borel-Padé-Laplace integrator for the resolution of stiff and non-stiff problems
Ahmad Deeb, Aziz Hamdouni, Dina Razafindralandy
A stability analysis of the Borel-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is…
A new Hodge operator in Discrete Exterior Calculus. Application to fluid mechanics
Rama Ayoub, Aziz Hamdouni, Dina Razafindralandy
This article introduces a new and general construction of discrete Hodge operator in the context of Discrete Exterior Calculus (DEC). This discrete Hodge operator enables to circum…
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…
Some robust integrators for large time dynamics
Dina Razafindralandy, Vladimir Salnikov, Aziz Hamdouni +1
This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. T…
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…