Ensemble data assimilation with the Lorenz model
Author: Stefano Migliorini
Software requirements: IDL
The three Lorenz (1963) coupled nonlinear ordinary differential
equations are integrated forward from a set of initial conditions, to
define the reference trajectory. A given number of observations are
simulated from the reference trajectory and forecasts from a different
set of initial conditions are combined with observational information
through an ensemble Kalman filter (EnKF). The EnKF algorithm used here
is based on a square root formulation, which avoids the need of
perturbed observations. At the end of the assimilation time window, the
program performs a forecast (both for the reference and the data
assimilation run) to monitor the forecast accuracy as a function of
time. The documentation discusses the purpose of various optional
parameters and suggests a number of exercises.