Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 25, issue 1
Articles | Volume 25, issue 1
https://doi.org/10.5194/npg-25-55-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-25-55-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 25, issue 1
Research article
 | 
30 Jan 2018
Research article |  | 30 Jan 2018

Optimal transport for variational data assimilation

Nelson Feyeux, Arthur Vidard, and Maëlle Nodet

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Latest update: 23 Apr 2025
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Short summary
In geophysics, numerical models are generally initialized through so-called data assimilation methods. They require computation of a distance between model fields and physical observations. The most common choice is the Euclidian distance. However, due to its local nature it is not well suited for capturing position errors. This papers investigates theoretical aspects of the use of the optimal transport-based Wasserstein distance in this context and shows that it is able to capture such errors.
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