FN Archimer Export Format
PT J
TI A generalized framework to transport geophysical fields: a differential geometry perspective
BT 
AF ZHEN, Yicun
   Resseguier, Valentin
   CHAPRON, Bertrand
AS 1:1,4;2:2,3;3:4;
FF 1:PDG-ODE-LOPS-SIAM;2:;3:PDG-ODE-LOPS-SIAM;
C1 Department of Oceanography, Hohai University, Nanjing, Jiangsu, China
   LAB, SCALIAN DS, Rennes, France
   INRAE, OPAALE, Rennes, France
   Laboratoire d’Océanographie Physique et Spatiale, Ifremer, Plouzané, France
C2 UNIV HOHAI, CHINA
   SCALIAN, FRANCE
   INRAE, FRANCE
   IFREMER, FRANCE
SI BREST
SE PDG-ODE-LOPS-SIAM
UM LOPS
TC 0
UR https://archimer.ifremer.fr/doc/00866/97814/106899.pdf
LA English
DT Article
AB To estimate displacements of physical fields, a general framework is proposed. Considering that for each state variable, a tensor field can be associated, ways these displacements act on different state variables will differ according to the tensor field definitions. This perspective provides a differential-geometry-based reformulation of the generalized optical flow (OF) algorithm. Using the proposed framework, optimisation procedures can explicitly ensure the conservation of certain physical quantities (total mass, total vorticity, total kinetic energy, etc.). Existence and uniqueness of the solutions to the local optimisation problem are demonstrated, leading to a new nudging strategy using all-available observations to infer displacements of both observed and unobserved state variables. Using the proposed nudging method before EnKF, numerical results show that ensemble data assimilation better preserves the intrinsic structure of underline physical processes if the ensemble members are aligned with the observations. 
PY 2023
PD DEC
SO ArXiv
PU Cornell University
DI 10.48550/arXiv.2312.01341
ID 97814
ER

EF