Data assimilation in the geosciences: An overview of methods, issues, and perspectives

A Carrassi, M Bocquet, L Bertino… - Wiley Interdisciplinary …, 2018 - Wiley Online Library
We commonly refer to state estimation theory in geosciences as data assimilation (DA). This
term encompasses the entire sequence of operations that, starting from the observations of a …

Global observations of fine-scale ocean surface topography with the surface water and ocean topography (SWOT) mission

R Morrow, LL Fu, F Ardhuin, M Benkiran… - Frontiers in Marine …, 2019 - frontiersin.org
The future international Surface Water and Ocean Topography (SWOT) Mission, planned for
launch in 2021, will make high-resolution 2D observations of sea-surface height using SAR …

Synchronization to big data: Nudging the Navier-Stokes equations for data assimilation of turbulent flows

P Clark Di Leoni, A Mazzino, L Biferale - Physical Review X, 2020 - APS
Nudging is an important data assimilation technique where partial field measurements are
used to control the evolution of a dynamical system and/or to reconstruct the entire phase …

[HTML][HTML] Long short-term memory embedded nudging schemes for nonlinear data assimilation of geophysical flows

S Pawar, SE Ahmed, O San, A Rasheed, IM Navon - Physics of Fluids, 2020 - pubs.aip.org
Reduced rank nonlinear filters are increasingly utilized in data assimilation of geophysical
flows but often require a set of ensemble forward simulations to estimate forecast …

Recovering the initial state of an infinite-dimensional system using observers

K Ramdani, M Tucsnak, G Weiss - Automatica, 2010 - Elsevier
Let A be the generator of a strongly continuous semigroup T on the Hilbert space X, and let
C be a linear operator from D (A) to another Hilbert space Y (possibly unbounded with …

Evaluation and integration of reanalysis rainfall products under contrasting climatic conditions in India

V Kolluru, S Kolluru, P Konkathi - Atmospheric Research, 2020 - Elsevier
Advancements in science and technology lead to the development of different sensors that
measure precipitation, an intrinsic component of the hydrological cycle. As conventional …

Data assimilation for geophysical fluids

J Blum, FX Le Dimet, IM Navon - Handbook of numerical analysis, 2009 - Elsevier
The ultimate purpose of environmental studies is the forecast of its natural evolution. A
prerequisite before a prediction is to retrieve at best the state of the environment. Data …

Mapping altimetry in the forthcoming swot era by back-and-forth nudging a one-layer quasigeostrophic model

F Le Guillou, S Metref, E Cosme… - … of Atmospheric and …, 2021 - journals.ametsoc.org
During the past 25 years, altimetric observations of the ocean surface from space have been
mapped to provide two dimensional sea surface height (SSH) fields that are crucial for …

Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data

P Moireau, C Bertoglio, N Xiao, CA Figueroa… - … and modeling in …, 2013 - Springer
Viscoelastic support has been previously established as a valuable modeling ingredient to
represent the effect of surrounding tissues and organs in a fluid-structure vascular model. In …

Downscaling data assimilation algorithm with applications to statistical solutions of the Navier–Stokes equations

A Biswas, C Foias, CF Mondaini, ES Titi - … de l'Institut Henri Poincaré C …, 2019 - Elsevier
Based on a previously introduced downscaling data assimilation algorithm, which employs a
nudging term to synchronize the coarse mesh spatial scales, we construct a determining …