The influence of turbulence on the solar p-mode oscillations

To investigate the physical nature of solar turbulent convection, we study the influence of turbulent pressure on the solar p-mode oscillations. It is assumed that only the important effects of the Reynolds stress are included in the equations, while all other effects art: neglected. The shifts of oscillation frequencies from their adiabatic values due to influence of Reynolds stress are calculated with the help of a time-dependent improved mixing-length theory which takes into account the contribution of the full spectrum of the turbulent convective eddies. The calculations reveal that although the spatial and temporal component of turbulent spectrum may influence the oscillation frequencies, the frequency shifts depend on sensitively on the details of turbulent energy spectrum E(k). The comparison of numerical results shows that the frequency shift due to anisotropic turbulence is smaller than the frequency shift due to isotropic turbulence toward higher frequencies. It means that turbulent viscosity exerts a non-negligible influence on the solar p-mode oscillations.