HW2-Sil

related matlab program :

**5. (a) Plot the heating profiles** Heating profile : left (figure 1): contour , right (figure 2) : profile for each S (S=-0.5, S=0, S=0.5 left to right) dotted line (from figure2) : the height of maximum heating occurs.

**Verify** that the total heat added (vertical integral) is the same in all cases. >> sum(hprofile_n05);ans =8.8752 >> sum(hprofile_0);ans =8.8752 >> sum(hprofile_p05);ans =8.8752

**5(b) Calculate the Rossby radii** for the two vertical modes. L_R1 = 466.667km (mode 1 : m1=1pi/14km)

L_R2 = 233.333 km (mode 2 : m2=2pi/14km)

**5(c)** V (when L_R1 is used, figure 100) V (when L_R2 is used, Figure 101) : I used h0=1 for V calculation.

Tangential wind when S=-0.5 (below, figure 8) : shallow convection fraction dotted line : the height where maximum heating occurs (in figure 2)
 * 5(c) Contour the tangential (v) wind **

Tangential wind (S=0) : below (figure 9)

**Tangential wind (S=0.5)** : below Figure 10 : **Stratiform fraction**

**5 (d) Plot** the domain-integrated KE versus S for values of S in [-0.5,0.5]. Is the curve nonlinear? yes, it's nonlinear. KE ~ v^2 **5(e) Surface fluxes are approximately proportional to surface wind speed. Plot the domain-averaged surface wind speed versus S for values of S in [-0.5,0.5]. Is the curve nonlinear? Discuss the implications for tropical cyclogenesis, in terms of convective heating profiles and their dependence on low-level rain evaporation and downdrafts.**