FR1D - Flux Reconstruction #

Flux Reconstruction (or Construction Procedure via Reconstruction) is a family of finite element methods for solving partial differential equations; distinct for formulating the problem in a differential form instead of the weak form used to derive classical Galerkin type methods. It has been shown to be able to reproduce the well known Discontinuous Galerkin and Specral Element methods, as well as a continuum of other by choice of specific correction / reconstruction functions.

[I will add more on the details of what FR is here and how it works later]

My code is a simple 1D Advection and Euler equation solver which I made to better understand the method. It operates with arbitrary order polynomial elements (tested up to P40), and has be a neat little testbed for trying out different modifications and hacks; especially for shock-capturing.