Detailed analysis indicates that the heating causes wind-pressure imbalance which leads to the adjustment process until a balanced state is reached. The surface responses to elevated heating take time and are relatively weak. The convergence center in the elevated heating case migrates to the east after a couple of days when the Kevin wave structure in the responses shaped up. In contrast, the surface-based heating results in immediate mass deficit at the surface and thus the strong convergence at heat source.
The boundary layer friction does not necessarily cause the eastward migration of the convergence in our simulations. The apparent phase lag between convective heating and surface convergence seen in previous studies is the result of implicitly lifting the heat base by inserting a boundary layer with a prescribed depth. The strong friction in the boundary layer does not change the induced surface convergence structure but reduces the amplitude of the convergence.