Optimal solution error quantification in variational data assimilation involving imperfect models
| العنوان: | Optimal solution error quantification in variational data assimilation involving imperfect models |
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| المؤلفون: | Shutyaev, Victor, Gejadze, Igor, Vidard, Arthur, Le Dimet, Francois-Xavier |
| المساهمون: | Institute of Numerical Mathematics [Moscou] (INM-RAS), Russian Academy of Sciences [Moscow] (RAS), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), Mathematics and computing applied to oceanic and atmospheric flows (AIRSEA), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Laboratoire Jean Kuntzmann (LJK ), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Centre National de la Recherche Scientifique (CNRS), This work was carried out within the SAMOVAR project (CNRS-RAS), Russian Science Foundationproject 14-11-00609 (studies in Section 2), and the project 15-01-01583 of the Russian Foundation for theBasic Research., Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Université Grenoble Alpes (UGA)-Laboratoire Jean Kuntzmann (LJK), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria) |
| المصدر: | International Journal for Numerical Methods in Fluids International Journal for Numerical Methods in Fluids, Wiley, 2017, 83 (3), pp.276-290. ⟨10.1002/fld.4266⟩ International Journal for Numerical Methods in Fluids, 2017, 83 (3), pp.276-290. ⟨10.1002/fld.4266⟩ |
| بيانات النشر: | HAL CCSD, 2017. |
| سنة النشر: | 2017 |
| مصطلحات موضوعية: | weak constraints, Hessian, variational data assimilation, model error, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], strong constraints, optimal solution error covariance |
| الوصف: | [Departement_IRSTEA]Eaux [TR1_IRSTEA]GEUSI; International audience; The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimalcontrol problem to find the initial condition. If the model is ‘perfect,’ the optimal solution (analysis) errorrises because of the presence of the input data errors (background and observation errors). Then, this erroris quantified by the covariance matrix, which can be approximated by the inverse Hessian of an auxiliarycontrol problem. If the model is not perfect, the optimal solution error includes an additional componentbecause of the presence of the model error. In this paper, we study the influence of the model error on theoptimal solution error covariance, considering strong and weak constraint data assimilation approaches. Forthe latter, an additional equation describing the model error dynamics is involved. Numerical experimentsfor the 1D Burgers equation illustrate the presented theory. |
| اللغة: | English |
| تدمد: | 0271-2091 1097-0363 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::88bc91bc3570dc03954890399eff8df4 https://hal.inria.fr/hal-01411666 |
| رقم الأكسشن: | edsair.dedup.wf.001..88bc91bc3570dc03954890399eff8df4 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 02712091 10970363 |
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