These instructions will get you a copy of the project compiled on your local machine.

• The Blitz++ library - available at https://sourceforge.net/projects/blitz/
• Gnuplot - run sudo apt-get install gnuplot

Simulation options are specified in 'settings_file.txt' before running 1D_Euler_GFM.exe. The following options are available:

• length [integer] number of real cells in domain
• numGC [integer] number of ghost cells on each end of the domain
• lsnumGC [integer] number of boundary ghost cells for level set grid
• lslength [integer] number of grid points for level set grid
• fluid1_gamma [double] EOS parameter
• fluid1_A [double] EOS parameter
• fluid2_gamma [double] EOS parameter
• fluid2_A [double] *EOS parameter}
• RS_pure [HLLC_idealgas | Exact_idealgas] Riemann solver used for single-material Riemann problem in flow solver
• FS [Godunov | MUSCL] Flow solver for single-material Euler equations
• GFM [Original | Isobaricfix | Real] Ghost fluid method
• IC [TTC1 | TTC2 | TTC3 | TTC4 | TTC5] Test case. TTC1-5 are initial conditions for the five test cases from Toro.
• eos 1 [ideal] Equation of state
• eos 2 [ideal] Equation of state
• BC_L [transmissive | reflective | nothing] Left boundary condition
• BC_R [transmissive | reflective | nothing] Right boundary condition
• CFL [double between 0 and 1] CFL number for time step size
• output [0 | 1] Turn output after every time step off or on
• sim [onefluid | twofluid] Switch between single fluid simulation and full multimaterial ghost fluid simulation
• outputpath [string] Simulation output is sent here

Some examples of the output are available in the results folder. This currently contains:

• Single fluid results from all five of Toro's test cases using Godunov/MUSCL-Hancock method over a range of different resolutions
• Single fluid results from Gaussian density profile advection test case using Godunov/MUSCL-Hancock method over a range of different resolutions
• Convergence studies for single fluid methods

• Toro, Eleuterio F. Riemann solvers and numerical methods for fluid dynamics: a practical introduction. Springer Science & Business Media, 2013.
• Fedkiw, Ronald P., et al. "A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)." Journal of computational physics 152.2 (1999): 457-492.
• Hu, X. Y., N. A. Adams, and Gianluca Iaccarino. "On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow." Journal of Computational Physics 228.17 (2009): 6572-6589.