Further numerical calculations of the circulation of the atmosphere of Venus

Results of two-dimensional simulations of the deep circulation of Venus are presented. They prove that the high surface temperature can only be explained by the greenhouse effect, and that Goody and Robinson's (1966) dynamical model is not valid. Analytical radiative equilibrium solutions for a semi-grey atmosphere, both with and without an internal heat source, are presented. It is shown that the greenhouse effect is sufficient to produce the high surface temperature if the thermal optical depth is much greater than 100 and the ratio of solar to thermal optical depths does not exceed 0.005. A two-dimensional version of a three-dimensional model is used to test the validity of the new mechanism proposed by Gierasch (1975) to explain the 4-day circulation. Numerical experiments with large horizontal viscosities failed to show strong zonal velocities even for the case of large Prandtl numbers. It is observed that the dissipation of angular momentum introduced by the strong horizontal diffusion more than compensates for the upward transport of angular momentum due to the Hadley cell.