English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In meteorological and oceanological studies the classical approach forfinding the numerical solution of the regional model consists in formulatingand solving the Cauchy-Dirichlet problem. The related boundary conditions areobtained by linear interpolation of data available on a coarse grid (globaldata), to the boundary of regional model. Errors, in boundary conditions,appearing owing to linear interpolation may lead to increasing errors innumerical solution during integration. The methods developed to reduce theseerrors deal with continuous dynamic assimilation of known global data availableinside the regional domain. Essentially, this assimilation procedure performs anudging of large-scale component of regional model solution to large-scaleglobal data component by introducing the relaxation forcing terms into theregional model equations. As a result, the obtained solution is not a validnumerical solution of the original regional model. In this work we propose theoptimization approach which is free from the above-mentioned shortcoming. Theformulation of the joint problem of finding the regional model solution anddata assimilation, as a PDE-constrained optimization problem, gives thepossibility to obtain the exact numerical solution of the regional model. Threesimple model examples (ODE Burgers equation, Rossby-Oboukhov equation,Korteweg-de Vries equation) were considered in this paper. The result ofperformed numerical experiments indicates that the optimization approach cansignificantly improve the precision of the sought numerical solution, even inthe cases in which the solution of Cauchy-Dirichlet problem is very sensitiveto the errors in the boundary condition.

Continuing dynamic assimilation of the inner region data in hydrodynamics modelling: Optimization approach