This repository contains tests for entropy conservative/dissipative high order fluxes in the presence of boundaries
While 1D testcases can be found as julia code in the directory "1D", the two-dimensional test cases were written in FORTRAN 90.
Running 1D tests boils down to including the file NBCtest.jl and calling the function »NTBC(p)« with the desired p.
The 2D tests can be run by issuing »make ntffs«. 
A listing of the important source files can be found below:

        * 1D/condntest.jl:      Tests the condition numbers of the matrices used to express the exactness conditions
        * 1D/eno.jl:            ENO2 implementation for the calculation of reference solutions
        * 1D/fortprint.jl:      Prints a matrix into a fortran file, to be used als parameter in fortran programs
        * 1D/matprint.jl:       Prints a matrix into a tex file
        * 1D/NBCtest.jl:        Implements the construction procedure for the linear combination matrices and carries out numerical tests in 1D

        * 2D/consts.f95:        Global constants
        * 2D/eiep.f95:          Entropy inequality predictors
        * 2D/eno.f95:           ENO2 Recovery
        * 2D/ffsdomain.f95:     Helper functions for the forward facing step domain
        * 2D/ffs.f95:           Main program that solves the forward facing step problem, saves a HDF5 file
        * 2D/fluxes.f95:        Entropy Conservative and Entropy Dissipative fluxes
        * 2D/fluxmat6.f95:      Flux linear combination matrices for order 6, i.e. p=3 (machine generated file)
        * 2D/gtk.f95:           Flux functions for the high order fluxes in the presence of boundaries
        * 2D/showrst.f95:       Python script that plots the results of the calculation
        * 2D/solvers.f95:       Main solver routines
        * 2D/supmoll.f95:       implementation of multidimensional sup-mollification