Training a convolutional neural network to conserve mass in data assimilation

<p>In previous work, it was shown that the preservation of physical properties in the data assimilation framework can significantly reduce forecast errors. Proposed data assimilation methods, such as the quadratic programming ensemble (QPEns) that can impose such constraints on the calculation...

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Main Authors: Y. Ruckstuhl, T. Janjić, S. Rasp
Format: Article
Language:English
Published: Copernicus Publications 2021-02-01
Series:Nonlinear Processes in Geophysics
Online Access:https://npg.copernicus.org/articles/28/111/2021/npg-28-111-2021.pdf
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author Y. Ruckstuhl
T. Janjić
S. Rasp
author_facet Y. Ruckstuhl
T. Janjić
S. Rasp
author_sort Y. Ruckstuhl
collection DOAJ
description <p>In previous work, it was shown that the preservation of physical properties in the data assimilation framework can significantly reduce forecast errors. Proposed data assimilation methods, such as the quadratic programming ensemble (QPEns) that can impose such constraints on the calculation of the analysis, are computationally more expensive, severely limiting their application to high-dimensional prediction systems as found in Earth sciences. We, therefore, propose using a convolutional neural network (CNN) trained on the difference between the analysis produced by a standard ensemble Kalman filter (EnKF) and the QPEns to correct any violations of imposed constraints. In this paper, we focus on the conservation of mass and show that, in an idealised set-up, the hybrid of a CNN and the EnKF is capable of reducing analysis and background errors to the same level as the QPEns.</p>
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spelling doaj.art-34ac20e37de84ad398ca2f4b5418843f2022-12-21T22:26:30ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462021-02-012811111910.5194/npg-28-111-2021Training a convolutional neural network to conserve mass in data assimilationY. Ruckstuhl0T. Janjić1S. Rasp2Meteorological Institute Munich, Ludwig-Maximilians-Universität München, Munich, GermanyMeteorological Institute Munich, Ludwig-Maximilians-Universität München, Munich, GermanyClimateAi, San Francisco, CA, USA<p>In previous work, it was shown that the preservation of physical properties in the data assimilation framework can significantly reduce forecast errors. Proposed data assimilation methods, such as the quadratic programming ensemble (QPEns) that can impose such constraints on the calculation of the analysis, are computationally more expensive, severely limiting their application to high-dimensional prediction systems as found in Earth sciences. We, therefore, propose using a convolutional neural network (CNN) trained on the difference between the analysis produced by a standard ensemble Kalman filter (EnKF) and the QPEns to correct any violations of imposed constraints. In this paper, we focus on the conservation of mass and show that, in an idealised set-up, the hybrid of a CNN and the EnKF is capable of reducing analysis and background errors to the same level as the QPEns.</p>https://npg.copernicus.org/articles/28/111/2021/npg-28-111-2021.pdf
spellingShingle Y. Ruckstuhl
T. Janjić
S. Rasp
Training a convolutional neural network to conserve mass in data assimilation
Nonlinear Processes in Geophysics
title Training a convolutional neural network to conserve mass in data assimilation
title_full Training a convolutional neural network to conserve mass in data assimilation
title_fullStr Training a convolutional neural network to conserve mass in data assimilation
title_full_unstemmed Training a convolutional neural network to conserve mass in data assimilation
title_short Training a convolutional neural network to conserve mass in data assimilation
title_sort training a convolutional neural network to conserve mass in data assimilation
url https://npg.copernicus.org/articles/28/111/2021/npg-28-111-2021.pdf
work_keys_str_mv AT yruckstuhl trainingaconvolutionalneuralnetworktoconservemassindataassimilation
AT tjanjic trainingaconvolutionalneuralnetworktoconservemassindataassimilation
AT srasp trainingaconvolutionalneuralnetworktoconservemassindataassimilation