The interactive tool DALo96(V0.1) lets explore the Lorenz 96 dynamics changing the simulation configuration interactively.
The Lorenz 96 model is defined by
where the index is cyclic which means
,
and
.
DALo96 main purpose is to be a tool for explain general concepts of different Data Assimilation (DA) techniques using the Lorenz 96 model. ThCancel changese DA techniques that is possible to explore are
- EnKF
- EnKF Schur Product covariance localization
- EnKF Modified Cholesky
- EnKS
- EnKS Modified Cholesky
For the different implementation the forcing parameter is disturbed with an aditive noise
to generate the ensemble space that promotes freedom degrees for a number of model propagations.
The forcing parameter
can be adjusted in the slider and it can be disturbed with a multiplicative factor
with a knob.
It is possible to choose different Data assimilattion techniques and calculates some scores between the analysis step and the truth objective
App developed in App designer in Matlab R2021b
Modified Cholesky DA inspired from Nino-Ruiz, E. D., Sandu, A., & Deng, X. (2018). An ensemble Kalman filter implementation based on modified Cholesky decomposition for inverse covariance matrix estimation. SIAM Journal on Scientific Computing, 40(2), A867-A886.