Tangent linear model

From Glossary of Meteorology
(Redirected from Tangent linear models)



tangent linear model

(Abbreviated TLM.) A model, comprising tangent linear equations, that maps a perturbation vector, δx(t1) = Lδx(t0), from initial time t0 to forecast time t1.

Here, L is the tangent linear operator and x is the model state vector. A TLM provides a first-order approximation to the evolution of perturbations in a nonlinear forecast trajectory.
See tangent linear approximation, small perturbation, adjoint model.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.