sandbox/easystab/david/README
This page regroups the contributions of David Fabre to the Easystab project.
For info on my other research projects and my full list of publications, see my professional page
Discretization methods
- dif1D.m Added a number of options (mapped chebyshev, etc…)
-> integrated in main project
- differential_equation_fd_cheb.m Comparison of finite-difference and chebyshev (uses dif1D)
-> to integrate in the main project
- differential_equation_infinitedomain.m Test of discretization methods for resolution of a problem in an infinite domain using mapped chebyshev
-> to integrate in the main project
Dynamical systems
PhasePortrait_NonLinear.m Draws phase portraits for an number of classical 2D dynamical systems (lokta-voltera, brusselator, van der pol, pendulum, …)
PhasePortrait_Linear.m Classification of equilibrium points for 2D problems
Lorenz.m Lorenz system
Instability problems
- GinsburgLandau.m Demonstration of the numerical resolution of an instability problem for a sample 1D problem.
In 2018/2019 this one was splitted in GinsburgLandau_Linear.m and GinsburgLandau_NonLinear.m
wave_like_Psi.m Basic example of wave-like perturbations in a channel ; comparison between UVP formulation (primitive), Psi formulation (Orr-Sommerfeld), and theory for SLIP conditions at the wall.
wave_like_Psi_noslip.m Same but modified for NO-SLIP conditions at the wall.
RayleighBenard.m No-slip condition, including loops over parameters to draw the neutral curve.
-> already integrated
- KH_temporal_inviscid.m Kelvin-Helmholtz for the tanh shear layer. Uses chebyshev method with coordinate stretching.
-> To integrate in main project
- KH_temporal_viscous.m Same program in the viscous case. Plots a series of curves for various values of Re.
-> To integrate in main project
Plane poiseuille : includes loops over k and Re to draw the neutral curve
-> to integrate in the main project
Lecture notes for the M2R-DET course
The overview of the course is here : M2RDET_2018.md
Lecture notes for several chapters are available here :
Other contributions (to be linked with the rest of the project) are :
