Ertel-potential-vorticity inversion using a digital-filter-initialization method

Abstract : A new Ertel-potential-vorticity inversion method is proposed and tested in the framework of a low-order model as well as in Météo France's operational primitive-equation spectral model, ARPEGE. The potential-vorticity (PV) inversion procedure is designed so that its result lies within the subspace of model solutions, without the use of any explicit balance condition. The inversion is based on a variational problem in which one minimizes simultaneously the distance to the dynamical initialized solution following in a digital-filter method and the PV to be inverted. Since the inverted solution results from model backward and forward integrations, and not from a set of algebraic equations, it possesses a strong dynamical consistency. In the framework of a low-order model, it is found that for small Rossby number, digital-filter initialization lies between nonlinear normal-mode initialization and quasi-geostrophic methods. The method has also been successfully used to rebuild the non-divergent flow, the temperature, and a significant part of the divergent flow, knowing only the three-dimensional PV field and a boundary condition.
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Contributor : Bruno Dal Cin <>
Submitted on : Monday, November 17, 2008 - 7:53:34 PM
Last modification on : Friday, April 5, 2019 - 8:14:08 PM


  • HAL Id : meteo-00339420, version 1



P. Arbogast, K. Maynard, F. Crepin. Ertel-potential-vorticity inversion using a digital-filter-initialization method. Quarterly Journal of the Royal Meteorological Society, Wiley, 2008, pp.1287-1296. ⟨meteo-00339420⟩



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