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Journal of Scientific Computing

Erschienen in:

03.03.2018

Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study

verfasst von: Aseel Farhat, Hans Johnston, Michael Jolly, Edriss S. Titi

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2018

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Abstract

We introduce a continuous (downscaling) data assimilation algorithm for the 2D Bénard convection problem using vorticity or local circulation measurements only. In this algorithm, a nudging term is added to the vorticity equation to constrain the model. Our numerical results indicate that the approximate solution of the algorithm is converging to the unknown reference solution (vorticity and temperature) corresponding to the measurements of the 2D Bénard convection problem when only spatial coarse-grain measurements of vorticity are assimilated. Moreover, this convergence is realized using data which is much more coarse than the resolution needed to satisfy rigorous analytical estimates.

Vorheriger Artikel An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation

Nächster Artikel Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions

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Titel: Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study
verfasst von: Aseel Farhat
Hans Johnston
Michael Jolly
Edriss S. Titi
Publikationsdatum: 03.03.2018
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-018-0686-x

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