A regularity-aware algorithm for variational data assimilation of an idealized coupled atmosphere-ocean model

DOI10.1007/s10915-018-0871-yzbMath1447.35330OpenAlexW2901067193MaRDI QIDQ2311985

Peter Korn

Publication date: 4 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0871-y

zbMATH Keywords

data assimilation4D-varadjoint control of partial differential equationscoupled atmosphere-ocean models

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Variational methods applied to PDEs (35A15) Inverse problems in geophysics (86A22) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Computational methods for problems pertaining to geophysics (86-08) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)

Related Items

Some novel optical solutions for the generalized \(M\)-fractional coupled NLS system ⋮ An implementation of Hasselmann’s paradigm for stochastic climate modelling based on stochastic Lie transport ^* ⋮ Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Data assimilation for conservation laws
• On some control problems in fluid mechanics
• Solvability of the observation data assimilation problem in the three-dimensional model of ocean dynamics
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Downscaling the 2D Bénard convection equations using continuous data assimilation
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Vorticity and Incompressible Flow
• DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms
• Dynamics of Winds and Currents Coupled to Surface Waves
• Optimal and Robust Control of Fluid Flows: Some Theoretical and Computational Aspects
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• The Ocean Circulation Inverse Problem
• Atmospheric and Oceanic Fluid Dynamics
• A Sensitivity and Adjoint Calculus for Discontinuous Solutions of Hyperbolic Conservation Laws with Source Terms
• Shallow-Water Equations and Related Topics
• Sobolev Spaces