FN Archimer Export Format
PT J
TI Physically constrained covariance inflation from location uncertainty
BT 
AF Zhen, Yicun
   Resseguier, Valentin
   Chapron, Bertrand
AS 1:1;2:2,3;3:4;
FF 1:;2:;3:PDG-ODE-LOPS-SIAM;
C1 College of Oceanography, Hohai University, Nanjing, China
   LAB SCALIAN DS, Rennes, France
   INRAE, OPAALE, Rennes, France
   Laboratoire d’Océanographie Physique et Spatiale, Ifremer, Plouzaé, France
C2 UNIV HOHAI, CHINA
   SCALIAN, FRANCE
   INRAE, FRANCE
   IFREMER, FRANCE
SI BREST
SE PDG-ODE-LOPS-SIAM
UM LOPS
IN WOS Ifremer UMR
   DOAJ
   copubli-france
   copubli-p187
   copubli-int-hors-europe
   copubli-sud
IF 2.2
TC 0
UR https://archimer.ifremer.fr/doc/00847/95941/103887.pdf
   https://archimer.ifremer.fr/doc/00847/95941/103888.pdf
LA English
DT Article
AB 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, we demonstrate that the perturbations consistently define a stochastic partial differential equation (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 (stochastic advection by Lie transport; Holm, 2015) and LU (location uncertainty; Mémin, 2014; Resseguier et al., 2017a) settings can be recovered from this perturbation scheme. Still, it offers 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. 
PY 2023
PD JUL
SO Nonlinear Processes In Geophysics
SN 1023-5809
PU Copernicus GmbH
VL 30
IS 2
UT 001077940400001
BP 237
EP 251
DI 10.5194/npg-30-237-2023
ID 95941
ER

EF