Physically constrained covariance inflation from location uncertainty
نویسندگان
چکیده
Abstract. Motivated by the concept of “location uncertainty”, initially introduced in Mémin (2014), a scheme is sought to perturb “location” state variable at every forecast time step. Further considering Brenier's theorem (Brenier, 1991), asserting that difference two positive density fields on same domain can be represented transportation map, we demonstrate perturbations consistently define stochastic partial differential equation (SPDE) from original PDE. It ensues certain quantities, up user, are conserved Remarkably, derivations following both SALT (stochastic advection Lie transport; Holm, 2015) and LU (location uncertainty; Mémin, 2014; Resseguier et al., 2017a) settings recovered this perturbation scheme. Still, it offers broader applicability since does not explicitly rely Lagrangian mechanics or Newton's laws force. For illustration, version thermal shallow water presented.
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ژورنال
عنوان ژورنال: Nonlinear Processes in Geophysics
سال: 2023
ISSN: ['1607-7946', '1023-5809']
DOI: https://doi.org/10.5194/npg-30-237-2023