Reconstruction of unsteady viscous flows using data assimilation schemes

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2016
auteur(s) Mons Vincent; Chassaing Jean-Camille; Gomez Thomas; Sagaut Pierre
journal (abréviation) Journal of Computational Physics (J Comput Phys)
volume (numéro) 316
  
pages 255 – 280
résumé This paper investigates the use of various data assimilation (DA) approaches for the reconstruction of the unsteady flow past a cylinder in the presence of incident coherent gusts. Variational, ensemble Kalman filter-based and ensemble-based variational DA techniques are deployed along with a 2D compressible Navier–Stokes flow solver, which is also used to generate synthetic observations of a reference flow. The performance of these DA schemes is thoroughly analyzed for various types of observations ranging from the global aerodynamic coefficients of the cylinder to the full 2D flow field. Moreover, different reconstruction scenarios are investigated in order to assess the robustness of these methods for large scale DA problems with up to 105 control variables. In particular, we show how an iterative procedure can be used within the framework of ensemble-based methods to deal with both non-uniform unsteady boundary conditions and initial field reconstruction. The different methodologies developed and assessed in this work give a review of what can be done with DA schemes in computational fluid dynamics (CFD) paradigm. In the same time, this work also provides useful information which can also turn out to be rational arguments in the DA scheme choice dedicated to a specific CFD application.
mots clés Data assimilation; Variational assimilation; Kalman filter; Ensemble methods; Unsteady flows
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