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E. I. Parmuzin, V. P. Shutyaev

Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion

We consider the problem of variational assimilation of observational data with the aim to reconstruct the initial condition in a locally one-dimensional model of vertical heat exchange in the ocean, which is described by the nonstationary heat equation with a nonlinear diffusion coefficient. We investigate the solvability of the data assimilation problem, develop and justify algorithms for its numerical solution. The results of numerical experiments are given.

Russian Journal of Numerical Analysis and Mathematical Modelling, Walter de Gruyter

Print ISSN: 0927-6467
Volume: 20, 02/2005
Pages: 81 - 95

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