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Automatic sensitivity analysis of a finite volume model for two-dimensional shallow water flows

Authors
  • Souhar, O.1
  • Faure, J.-B.1
  • Paquier, A.1
  • 1 Cemagref de Lyon, Hydrology-Hydraulic research unit, 3 bis, quai Chauveau-CP 220, Lyon Cedex 09, 69336, France , Lyon Cedex 09 (France)
Type
Published Article
Journal
Environmental Fluid Mechanics
Publisher
Springer-Verlag
Publication Date
Jul 25, 2007
Volume
7
Issue
4
Pages
303–315
Identifiers
DOI: 10.1007/s10652-007-9028-5
Source
Springer Nature
Keywords
License
Yellow

Abstract

Given a numerical model for solving two-dimensional shallow water equations, we are interested in the robustness of the simulation by identifying the rate of change of the water depths and discharges with respect to a change in the bottom friction coefficients. Such a sensitivity analysis can be carried out by computing the corresponding derivatives. Automatic differentiation (AD) is an efficient numerical method, free of approximation errors, to evaluate derivatives of the objective function specified by the computer program, Rubar20 for example. In this paper AD software tool Tapenade is used to compute forward derivatives. Numerical tests were done to show the robustness of the model and to demonstrate the efficiency of these AD-derivatives.

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