Preprints
https://doi.org/10.13140/RG.2.2.18433.53603
https://doi.org/10.13140/RG.2.2.18433.53603
09 Mar 2023
 | 09 Mar 2023

Physically Constrained Covariance Inflation from Location Uncertainty

Yicun Zhen, Valentin Resseguier, and Bertrand Chapron

Abstract. Motivated by the concept of "location uncertainty", initially introduced in Mémin (2014), a scheme is sought to perturb the "location" of a state variable at every forecast time step. Further considering Brenier's theorem Brenier (1991), asserting that the difference of two positive density fields on the same domain can be represented by a transportation map, perturbations are demonstrated to consistently define a SPDE from the original PDE. It ensues that certain quantities, up to the user, are conserved at every time step. Remarkably, derivations following both the SALT Holm (2015) and LU Mémin (2014); 5 Resseguier et al. (2016) settings, can be recovered from this perturbation scheme. Still, it opens broader applicability since it does not explicitly rely on Lagrangian mechanics or Newton's laws of force. For illustration, a stochastic version of the thermal shallow water equation is presented.

Share

Journal article(s) based on this preprint

29 Jun 2023
Physically constrained covariance inflation from location uncertainty
Yicun Zhen, Valentin Resseguier, and Bertrand Chapron
Nonlin. Processes Geophys., 30, 237–251, https://doi.org/10.5194/npg-30-237-2023,https://doi.org/10.5194/npg-30-237-2023, 2023
Short summary
Download

The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.

Short summary
This manuscript provides with the perspective that the displacement vector field of physical...
Share