# 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 :