Title: Numerical simulations of ion and neutral waves in the solar atmosphere Authors: Błażej Kuźma, Kris Murawski, Dariusz Wójcik, Group of Astrophysics, University of Maria Curie-Skłodowska, ul. Radziszewskiego 10, 20-031 Lublin, Poland Abstract: We present results of numerical simulations of ion and neutral waves in the solar atmosphere that is described by non-adiabatic 2-fluid equations. These simulations are performed with the use of JOANNA code which adopts Godunov-type numerical methods. It is demonstrated that collisions between ions and neutrals determine a number of spectacular phenomena in the atmosphere such as plasma heating that is sufficient to compensate radiative losses. Our realistic 2D numerical simulations of plasma outflows, which are associated with solar granulation, reveal that these outflows originate the fast solar wind, and they exhibit physical quantities consistent to the order of magnitude with the observational estimations for mass and energy losses in the upper chromosphere, transition region and inner corona. Moreover, the theoretical results are used to predict variations of dominant period with height in the atmosphere. A good agreement between the theoretical prediction and recent observations by VTT on Tenerife and IRIS validates the model and obtained results.