Electronic files for the manuscript « Large-scale instability of a turbulent generalized Kolmogorov flow »

by Bernard Legras and Barbara Villone,

submitted to Non Linear Processes in Geophysics

The files are Mathematica notebooks which have been used to perform the pertubative expansion of the LES equation up to order 4 where the large-scale instability is obtained and ro solve the auxilliary pertubative problems.

The files are available under two format. The most convenient is the original notebook format which can be opened and played with Mathematica ... freely available from Wolfram Research (http://www.wolfram.com/products/player/) for the most common computer OS (Linux, MacOS, Windows). This is the easiest way to browse and check the computations.

The other format is the standard PDF format that only requires a PDF browser and is a read only format where cells cannot be opened and closed and calculations cannot be played.

List of available files

Perturbation expansion for the simplified case (section III) > [ notebook, PDF ]

Perturbation expansion for the full problem (section IV) [ notebook, PDF ]

Perturbation expansion for the full problem without symmetry (section IV) [ notebook, PDF ]

Pertubation expansion for the full problem with U = A Sin[y] (section IV) [ notebook ]

Solution of the auxilliary problems at order 1 and 2, and calculation of the threshold (section V) [ notebook, PDF ]

Perturbation expansion for the viscous general parallel flow (Appendix A) [ notebook, PDF ]

Perturbation expansion for the hyperviscous general parallel flow (Appendix B) [ notebook, PDF ]

For convenience, all the files can be downloaded as a