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README.md

Data-Driven Modeling of Conservation Laws

Installation

conda create --name DDM python=3.12.2 -y
conda activate DDM
conda env create -f environment.yml
conda install -c conda-forge fenics-dolfinx=0.8.0 mpich=4.2.1 pyvista=0.43.10 -y

Usage

Find the different projects in the folders "Project1", "Project2" (to be created) and "Project3" (to be created). The src code can be found in "src" for each Project folder and in "LyX" the code for the report, written with the text processor LyX can be found.

Project 1

Go to the folder "Project1/src". Open the Notebook main.ipynb to see all the calculations in a single notebook. The source code to this is stored in the file System.py in the class System. Furthermore, a finite element approximation with the open-source software FEniCSx was used and implemented in FEniCS.py.

Find the report written with the tool "LyX" in "Project1/LyX"

Project 2

Go to the folder "Project2/src". The python file SystemGeneric.py includes the python implementation of the mathematical formulation with a solver and visualizations. Example.ipynb shows two two first examples (with different initial distributions) not included in the final report. 01_A_First_Example.ipynb includes a first example for the scalar conservation law. 02_Problem_2_3.iynb shows the solution for problem 2.3 with a convergence analysis and 03_Traffic_Flow_Problem.ipynb shows the solution to the full traffic flow problem.

Find the report written with the tool "LyX" in "Project2/LyX"

Contact

Author

Supervisor

  • Steinar Evje