Discrete data assimilation algorithm for the three-dimensional Leray-$\alpha $ model

DOI10.4064/ba8162-11-2018zbMath1408.35142OpenAlexW2904142653MaRDI QIDQ4614165

Bui Huy Bach, Cung The Anh

Publication date: 30 January 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8162-11-2018

zbMATH Keywords

nudging3D Leray-\({\alpha}\) modeldiscrete data assimilationlow Fourier modes projector

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Flow control and optimization for incompressible inviscid fluids (76B75)

Related Items (4)

Asymptotic behavior of solutions to the three-dimensional stochastic Leray-\( \alpha\) model ⋮ Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques ⋮ Unnamed Item ⋮ Continuous data assimilation for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field

Cites Work

• A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics

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