Does the scheme conserve mass?
Does the scheme conserve variance?
Is the system positive definite?
What is the critical Courant number stability?
Is the forward time difference truly unstable?
Do errors grow indefinitely for the
The art of climate and
"Several sciences are often necessary to form the
groundwork of a single art" - Mills, 1843
"Science is knowledge which we understand so
well that we can teach it to a computer; and if we
don't fully underst
General circulation models
(a quasi geostrophic view)
What range of values for K seem reasonable?
Does drag help? What values of D seem
How different is your prediction if the initial
condition are slightly different?
Can this i
Tracer transport model
and the spectral method
+5 days (today)
Inaccurate advection ultimately screws things up
(need more accurate advection)
Advection is ultimately dispersive
i.e., pattern smoothes out. (need m
Introduce convective parameterization
(important for Part 3 of the assignment)
Also time available to make sure basic
model is working.
Topography of North America at 0.5
and 5.0 resolutions
Diffusion and implicit solutions
Model simulation of hurricane Sandy
NWS got the forecast right, can we?
Assignment is to check numerical stability, use
you model, test sensitivity to parameters, and
analyze the resulting forecasts.
How does the result change if I aim to plant on the other side of
the yard where the soil is clay rich?
How does the result change if we include a diurnal cycle ?
What is the time mean soil temperature?
Is the result the same for all time st
Discussion questions from last week.
Was there an equilibrium solution?
What was the simulated climate sensitivity?
how does this compare with the state-of-the-art
What was the water vapor feedback
Low dimensional attractors. Unclear if they are a good analogy to
the true climate system, but they have some appealing
Is the initial condition balanced? Is there an initial
EBM and beyond
= (1 ) T 4
What is the temperature of the Earth?
(choices for parameters)
Time step issues?
Able to predict mean/stable/steady state OK, but
what about change?
Can we predict/model all we need to know?
Non-divergent barotopic vorticity
27 October 2012: Day 0
28 October 2012: Day +1
29 October 2012: Day +2
30 October 2012: Day +3
31 October 2012: Day +4
1 November 2012: Day +5
2 November 2012: Day +6