A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence

DOI10.1017/9781108367639.006zbMath1436.35274arXiv1702.01506OpenAlexW2612299678MaRDI QIDQ5234171

Edriss S. Titi, Aseel Farhat, Evelyn M. Lunasin

Publication date: 25 September 2019

Published in: Partial Differential Equations Arising from Physics and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01506

zbMATH Keywords

continuous data assimilationdownscaling3D Leray-\(\alpha\)-modelCharney conjecturecoarse measurements of velocitysubgrid scale turbulence models

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Flow control and optimization for incompressible inviscid fluids (76B75) Fundamentals of turbulence (76F02) PDEs in connection with geophysics (35Q86) Synchronization of solutions to ordinary differential equations (34D06)

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