B. Finite difference equations of the model   a. Atmospheric model
B.a.iv. Basic state equations The basic state pressure () and density () can be calculated by the hydrostatic equation (A.6) and the equation of state (A.7) when the basic state temperature . are calculated by using as follows. $$\Pi _{0,j} = \left(\frac{P_{0,j}}{P_00}\right)^{\kappa },$$ (B.32) $$\Theta _{0,j} = \frac{T_{0,j}}{\Pi _{0,j}}.$$ (B.33)
A Numerical Simulation of Thermal Convection in the Martian Lower Atmosphere with a Two-Dimensional Anelastic Model