Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 196, Issue 45-48, Pages 4628-4643Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2007.05.026
Keywords
zoom model; coupling; optimal control; variational data assimilation; shallow water equations; flood modeling
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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. (c) 2007 Elsevier B.V. All rights reserved.
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