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Climate Modeling

Climate Modeling. In -Class Discussion: Energy Balance Models. Energy Balance Equation. Net radiation in/out at any latitude balanced by dynamical divergence/convergence Still require global radiative balance. Solve this equation to get T s (  ).

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Climate Modeling

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  1. Climate Modeling In -Class Discussion: Energy Balance Models

  2. Energy Balance Equation Net radiation in/out at any latitude balanced by dynamical divergence/convergence Still require global radiative balance Solve this equation to get Ts(). Suppose Earth has interior source of heat, like Jupiter. How does the balance equation change?

  3. Energy Balance Equation

  4. Balance Equation to Solve Where Boundary Conditions: Dynamic flux = 0 at poles (x = 1) (ii) Dynamic flux = 0 at x = 0 (hemispheric symmetry) (iii) xi = x(Ts= -10˚C) => xi = x(Ii =195.7 W-m-2)

  5. Balance Equation to Solve Where What happens to the solution? Suppose the interior heating gradually disappears. How do the balance equation and the equilibrium solution change?

  6. Solar Flux - 2 S(x) is an even function about 0. Suppose Earth's tilt of axis changes. How does this picture change?

  7. Solar Flux - 2 S(x) is an even function about 0.  Suppose Earth's tilt of axis changes. How does this picture change, if …

  8. Solar Flux - 2 S(x) is an even function about 0.  … the earth has zero tilt? (no seasons)

  9. Solar Flux - 2 S(x) is an even function about 0.  … the earth has 90˚ tilt? (like Uranus)

  10. Annual Cycle - Representation For any variable use, e.g., • Units for t: year • P1 captures seasonal asymmetry about equator (e.g. SH warm when NH cold.) • Sizes of T1C and T1S determine amplitude and phase of annual cycle • Fit observed T, I, albedo and S: rms error < 5%

  11. Annual Cycle - Representation For any variable use, e.g., • P1 captures seasonal asymmetry about equator (e.g. SH warm when NH cold.) • Sizes of T1C and T1S determine amplitude and phase of annual cycle • How do these change for the cases of no axial tilt or 90˚ tilt?

  12. Albedo - 2 xi = ice/snow edge = 0.95 (lati = 72˚)

  13. Albedo - 2 How would this change if clouds were different?

  14. In-Class Discussion~ End ~

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