On a 2D 'zoom' for the 1D shallow water model: coupling and data assimilation

I.Y. Gejadze, J. Monnier

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

In the context of river hydraulics we elaborate the idea of a 'zoom' model locally superposed on an open-channel network global model. The zoom model (2D shallow water equations) describes additional physical phenomena, which are not represented by the global model (1D shallow water equations with storage areas). Both models are coupled using the optimal control approach when the zoom model is used to assimilate local observations into the global model (variational data assimilation) by playing the part of a mapping operator. The global model benefits from using zooms, while no substantial modification to it is required. Numerical results on a toy test case show the feasibility of the suggested method.
Original languageEnglish
Pages (from-to)4628-4643
Number of pages15
JournalComputer Methods in Applied Mechanics end Engineering
Volume196
Issue number45-48
DOIs
Publication statusPublished - 2007

Keywords

  • zoom model
  • coupling
  • optimal control
  • variational data assimilation
  • shallow water equations
  • flood modelling

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