C. 1D radiative-convective model up previous next
C.a. Governing equations of the 1D mode

The potential temperature of the model atmosphere composed of ideal gas is calculated as follows.

(C.1)

where is potential temperature, is temperature, is the vertical diffusion coefficient, is the radiative heating rate per unit mass, and is the specific heat of constant pressure per unit mass; is calculated by the convergence of the radiative heat flux obtained by the radiative transfer equation of CO2 (see Appendix A.d.i). Radiative transfer associated with dust is not taken into consideration. The second term on the right-hand side represents heat transport due to thermal convection, which is parameterized as vertical diffusion.

The vertical structure of the model atmosphere is given by the hydrostatic equation.

(C.2)

Vertical diffusion coefficient is calculated as follows (Gierasch and Goody,1968).

(C.3)

where (Priestley, 1959).

Sensible heat flux is calculated as follows (Gierasch and Goody, 1968).

(C.4)

where is the surface temperature, is the surface atmospheric temperature, is the atmospheric thermal diffusion coefficient, and is atmospheric kinematic viscosity. The values of and are 8×10-4 m2sec-1 and 1×10-3 m2sec-1, respectively (Gierasch and Goody, 1968). Sensible heat flux is 0 when the surface atmospheric temperature is larger than the surface temperature.

The surface temperature is calculated by using the thermal diffusion equation (see Appendix A.e).


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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