The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
Abstract
The problem of variational assimilation of observational data for the sea thermodynamics model is considered with the aim to reconstruct heat fluxes on the sea surface. The local sensitivity of functionals of the solution to the observational data and input data for heat fluxes is studied in the considered problem and the results of numerical experiments are presented for the Black Sea dynamics model.
Funding statement: The work was supported by the Russian Science Foundation (project 20–11–20057, studies in Sections 2–3), and by the Moscow Center for Fundamental and Applied Mathematics (agreement with the Ministry of Education and Science of the Russian Federation, No. 075–15–2022–286).
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Artikel in diesem Heft
- Frontmatter
- Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics
- Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
- Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations
- Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
- The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
- Multiresolution approximation for shallow water equations using summation-by-parts finite differences
Artikel in diesem Heft
- Frontmatter
- Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics
- Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
- Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations
- Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
- The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
- Multiresolution approximation for shallow water equations using summation-by-parts finite differences