Keywords:Sun, Chromosphere, MHD wave
The problem how to heat the solar chromosphere is still under debate especially in the magnetic chromosphere. MHD waves are considered as important energy transporter and make contribution to chromospheric heating. Previous researches usually discuss propagation of MHD waves in the chromosphere with great detail but the setting of flux tube and wave generation is artificial. There are also studies by realistic simulations but they are used for comparison with observations without discussing detail physical processes. In our study. by using the result of a two-dimensional realistic MHD simulation, we identify shock waves and separate fast and slow mode waves. We further estimate the heating rate by them. We find that fast wave heating rate is larger than slow wave heating rate in the chromosphere. In addition, the wave heating rate is consistent with radiative cooling rate in classic atmospheric empirical model.