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Finite volume schemes: an introduction

This repository contains:

  • README.pdf: An instruction document for a tutorial in which you are guided through the development of a 1D finite volume solver in Python.
  • finite_volume_schemes_part1/2.pdf: The slides for two guest lectures about finite volume schemes that serve as an introduction to the tutorial.
  • finite_volume_schemes_single_file.pdf: More compact version of the slides above that does not refer to the slides from Moira's fluids course.
  • multidimensional_finite_volume_schemes.pdf: Extra slides that explain how to go from a 1D finite volume solver to a multidimensional one.
  • second_order_finite_volume_schemes.pdf: Extra slides that explain how to go from a first order to a second order scheme.
  • riemannsolver.py: A standalone exact Riemann solver that can be used as an external library for the tutorial.
  • sodshock_solution.py: A Python script that returns a reference solution for the 1D Sod shock problem. This script can also be used as an external library for the tutorial.
  • LICENSE: The free software license that allows redistribution of the Python scripts mentioned above.
  • README.md: This file.
  • RiemannSolver.hpp: A C++ version of the Riemann solver, which is identical to the Riemann solver in https://github.com/bwvdnbro/CMacIonize.
  • riemann.f: A Fortran (77) version of the Riemann solver, kindly provided by Kenneth Wood.
  • example_solutions: Example solutions for the practical exercise. These are only intended as a guidance; you should definitely try to write your own!
  • Riemann_problem.pdf: A 59 slide document laying out the detailed solution to the general Riemann problem.