B. Finite difference equations of the model   a. Atmospheric model up previous next
B.a.i. Equation of motion

Before deriving the finite difference equations, Equations (A.1) and (A.2) from Appendix A.a are transformed as follows.


Where,


These formulations are used since there is no longer a time dependence of the upper and lower boundary conditions for .

The advection terms are evaluated by a combination scheme of flux and advection. The integration of time is performed by the forward scheme for the friction term, and , and by a combination of the leap frog and forward scheme for the other terms. The calculation methods for the pressure term are show in Appendix B.1.iii.

(B.1)
(B.2)

(B.3)

 
    (B.4)
 
    (B.5)

 
     
    (B.6)
 
     
    (B.7)
       
 
     
    (B.8)
 
     
    (B.9)

 
    (B.10)
 
     
    (B.11)
(B.12)



A Numerical Simulation of Thermal Convection in the Martian Lower Atmosphere with a Two-Dimensional Anelastic Model
Odaka, Nakajima, Ishiwatari, Hayashi,   Nagare Multimedia 2001
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