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Modelling of Local Length-Scale Dynamics and Isotropizing Deformations: Formulation in Natural Coordinate System

Pannekoucke, Olivier and Emili, Emanuele and Thual, Olivier Modelling of Local Length-Scale Dynamics and Isotropizing Deformations: Formulation in Natural Coordinate System. (2013) Quarterly Journal of the Royal Meteorological Society, 140. 1387-1398. ISSN 0035-9009

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Official URL: https://doi.org/10.1002/qj.2204

Abstract

We propose an algorithm to model anisotropic correlation functions using an approach based on the deformation of locally isotropic ones. In a previous work, a set of equations that allow to calculate the desired deformation was derived for a flat coordinates system. However this strategy is not adapted for curved geometry as the sphere (regional and global atmospheric models), where it is suitable to state the local isotropy in terms of the local Riemannian metric.This paper introduces the theoretical background to deal explicitly with natural coordinate systems leading to a formulation adapted with the Riemannian metric. It results that the isotropizing deformation is obtained from the resolution of coupled non-linear equations depending on the geometry. This procedure is illustrated within a 2D setting.

Item Type:Article
HAL Id:hal-02101388
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Centre Européen de Recherche et Formation Avancées en Calcul Scientifique - CERFACS (FRANCE)
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Deposited On:16 Apr 2019 14:30

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