PROJECT MASTER IPSA

Modeling the transport of a chemical species in a fluid

Description

This project aims to model the transport of a chemical species in a fluid, in 1D and 2D, using numerical schemes to approximate the real solution.

For this work, we consider the transport equation:

$$\frac{\partial u}{\partial t} + c \cdot \nabla u = f$$

Contents

This project is divided in six files

• Parameters.py contains the parameters of the simulation
• Conditions.py contains the conditions of the system
• Analytical.py compute the analytical solution of the equation
• Numerical.py compute an approximation of the solution
• Display.py plots graphs and animations of the solutions found
• Main.py calls functions from the previous files

Results

The directory output contains plotted graphs and animations for both 1D and 2D case.