  The Great Red Spot at about latitude $22^{\circ}S$ of Jupiter has been
observed for hundreds of years, yet the driving mechanism on the formation of
this giant anticyclone still remains unclear. Two scenarios were proposed to
explain its formation. One is a shallow model suggesting that it might be a
weather feature formed through a merging process of small shallow storms
generated by moist convection, while the other is a deep model suggesting that
it might be a deeply rooted anticyclone powered by the internal heat of
Jupiter. In this work, we present numerical simulations showing that the Great
Red Spot could be naturally generated in a deep rotating turbulent flow and
survive for a long time, when the convective Rossby number is smaller than a
certain critical value. From this critical value, we predict that the Great Red
Spot extends at least about 500 kilometers deep into the Jovian atmosphere. Our
results demonstrate that the Great Red Spot is likely to be a feature
deep-seated in the Jovian atmosphere.
