Karman Vortex Street Simulation

Numerical approximation of critical Reynolds number

Computaitonal analysis of the critical Reynolds number for a Karman vortex street.

Project done for my Fluid Mechanics course at ESPCI Paris under supervision from Prof. Marc Fermigier

Requirements

FreeFem++: download at https://freefem.org/

FreeFem++ is a an open-source programming language and a software focused on solving partial differential equations using the finite element method. FreeFem++ is written in C++ and developed and maintained by Université Pierre et Marie Curie and Laboratoire Jacques-Louis Lions.

Run

clone git repo: $ git clone https://github.com/jgbrasier/karman-vortex-street

go to project dir: cd /path/to/dir

launch simulation in prompt: FreeFem++ BVK_simple_2019.edp and follow instructions in prompt.

Tips:

When launching:

Raffinement automatique du maillage pendant le calcul? (o/n): recommend you put in n (no), otherwise compute times will be too long (several hours)

Entrer le nombre de Reynolds: input reynolds number (around 0-1000 for current configurations, modifiable in FreeFem++)

Entrer le nombre d'itérations: input number of interations (1000+ for Reynolds < 1000)

Outputs:

Program outputs a series of .vtk (visual tool kit) files every t=10 (adimentional time frame)

MATLAB analysis:

main.m_: Main file to extract and display computed data.

session_variables.mat: MATLAB variables to load in if you do not wish to run computations

Visualisation:

You can visualise the Von Karman Vortex with any program that reads .vtk files, I used Paraview-5.8.0.

Final Report:

You are free to read my report. It is in french ^^

(c) Jean-Guillaume Brasier and Pablo Mas, graduate students at ESPCI Paris