The three solar (& stellar) flare codes that we will be using, comparing, and contrasting are listed below with links to some relevant papers describing the code features and uses.
RADYN
Carlsson, M. & Stein, R.F. (1995). Does a Nonmagnetic Solar Chromosphere Exist? The Astrophysical Journal Letters, Volume 440
Carlsson, M. & Stein, R.F. (1997). Formation of Solar Calcium H and K Bright Grains. The Astrophysical Journal Volume, 481
Allred, J.C., et al., (2005). Radiative Hydrodynamic Models of the Optical and Ultraviolet Emission from Solar Flares. The Astrophysical Journal, Volume 630
Allred, J.C., et al., (2015). A Unified Computational Model for Solar and Stellar Flares, The Astrophysical Journal. Volume 809
HYDRAD
Bradsaw, S.J. & Mason, H.E. (2003). A Self-Consistent Treatment of Radiation in Coronal Loop Modelling. Astronomy & Astrophysics, Volume 401
Bradshaw, S.J. & Cargill, P.J. (2013). The Influence of Numerical Resolution on Coronal Density in Hydrodynamic Models of Impulsive Heating. The Astrophysical Journal, Volume 770
Reep, J.W., Bradshaw, S.J., Crump, N.A. & Warren, H.P. (2019). Efficient Calculation of Non-local Thermodynamic Equilibrium Effects in Multithreaded Hydrodynamic Simulations of Solar Flares. The Astrophysical Journal, Volume 871
FLARIX
Varady, M., Kašparová, J., Moravec, Z., Heinzel, P. & Karlicky, M. (2010). Modelling of Solar Flare Plasma and Its Radiation. IEEE Transactions on Plasma Science, Volume 38
Heinzel, P., Kašparová, J., Varady, M., Karlicky, M. & Moravec, Z. (2016). Numerical RHD Simulations of Flaring Chromospheres with FLARIX. Solar and Stellar Flares and their Effects on Planets, Proceedings of the International Astronomical Union, IAU Symposium, Volume 320
Varady, M., Karlický, M., Moravec, Z. & Kašparová, J. (2014). Modifications of thick-target model: re-acceleration of electron beams by static and stochastic electric fields. Astronomy & Astrophysics, Volume 563
Kašparová, J. & Varady, M. & Heinzel, P. & Karlický, M. & Moravec, Z. (2009). Response of optical hydrogen lines to beam heating. I. Electron beams. Astronomy and Astrophysics, Volume 499