Welcome to Orr_Sommerfeld documentation!

It is a python_ package developed in order to solve the Orr Sommerfeld equations. It is free for the community and allows to calculate disturbances for 4 flows of interest: Poiseuille, Couette, Boundary Layer and jet. These perturbations can be used to analyze the phenomenon of the laminar-turbulent transition.

Useful links

• View on GitHub;

• Suggestions for new features and bug report;

Installation

It is possible to install using pip:

pip install Orr_Sommerfeld

Technologies

*Project is created with:

• Numpy

• Scipy

• Pypi to publish Python package.

Examples

• Importing the package in Jupyter Notebook:

  from Orr_Sommerfeld import OS
  

• Can compute the spectrum of temporal and spatial eigenvalues and their respective perturbations using::

  lam,u,v,w=OS.Orr_Sommerfeld_Temporal(N,R,alp,b,n,Np)
  lam,u,v,w=OS.Orr_Sommerfeld_Espacial(N,R,w,b,n,Np)
  

Table of Content

• Tutorials
  • Poiseuille Flow
    • Parametros de entrada
    • Validación perturbaciones
      • Caso 2D
      • Caso 3D
  • Couette Flow
    • Parametros de entrada
    • Validación autovalores
  • Boundary Layer Flow
    • Parametros de entrada
    • Validación espectro
    • Autofunciones
  • Jet Bickley Flow
    • Parametros de entrada
    • Espectro autovalores
    • Autofunciones

Indices and tables

• Index

• Module Index

• Search Page