Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation
نویسندگان
چکیده
منابع مشابه
Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation
The Kuramoto-Sivashinsky equation plays an important role as a low-dimensional prototype for complicated fluid dynamics systems having been studied due to its chaotic pattern forming behavior. Up to now, efforts to carry out data assimilation with this 1-d model were restricted to variational adjoint methods domain and only Chorin and Krause [26] tested it using a sequential Bayesian filter app...
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The Kuramoto-Sivashinsky equation plays an important role as a low-dimensional prototype for complicated fluid dynamics systems having been studied due to its chaotic pattern forming behavior. Up to now, efforts to carry out data assimilation with this 1-d model were quasi totally restricted to variational adjoint methods domain and only Chorin and Krause [26] tested it using a sequential Bayes...
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Résumé. Nous considérons l’équation de Kuramoto–Sivashinskymunie de conditions aux limites périodiques et d’une donnée initiale. Nous l’approchons en utilisant une méthode d’éléments finis de type Galerkin pour la discrétisation en espace, et un schéma de Runge–Kutta implicite pour la discrétisation en temps. Nous obtenons des estimations d’erreur optimales et discutons de la linéarisation de c...
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We consider the periodic initial value problem for the Kuramoto–Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit–explicit BDF schemes and in space by a pseudo–spectral method. We present the results of various numerical experiments.
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2009
ISSN: 0271-2091,1097-0363
DOI: 10.1002/fld.2020