https://github.com/joshualampert/finite-volume-for-conservation-laws

High order finite volume schemes for (systems of) hyperbolic conservation laws
https://github.com/joshualampert/finite-volume-for-conservation-laws

conservation-laws finite-volume-methods pde-solver python simulation

Last synced: about 1 month ago
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High order finite volume schemes for (systems of) hyperbolic conservation laws

• Host: GitHub
• URL: https://github.com/joshualampert/finite-volume-for-conservation-laws
• Owner: JoshuaLampert
• Created: 2022-11-29T19:03:33.000Z (about 2 years ago)
• Default Branch: main
• Last Pushed: 2023-10-19T14:50:13.000Z (about 1 year ago)
• Last Synced: 2024-10-14T04:43:42.914Z (3 months ago)
• Topics: conservation-laws, finite-volume-methods, pde-solver, python, simulation
• Language: Python
• Homepage:
• Size: 349 KB
• Stars: 0
• Watchers: 2
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Finite Volume for Conservation Laws

This repository contains several finite volume methods for solving a hyperbolic conservation law of the form

$$\frac{\partial u}{\partial t} + \frac{\partial f(u)}{\partial x} = 0.$$

The package inludes several different numerical fluxes and some specific equations. Some examples are given in the scripts/ folder.

Currently, only one space dimension is supported.

## Author

The code is currently maintained by Joshua Lampert ([email protected]) and work in progress.

## Requirements

* [numpy](https://github.com/numpy/numpy)

* [matplotlib](https://github.com/matplotlib/matplotlib)

* [scipy](https://github.com/scipy/scipy)

* [sympy](https://github.com/sympy/sympy)