The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations
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Publication:2138706
DOI10.1016/j.cma.2022.114673OpenAlexW3206752951MaRDI QIDQ2138706
Collin Victor, Trenton Franz, Adam Larios
Publication date: 12 May 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.10362
Navier-Stokes equationscontinuous data assimilationLagrangian particlesAzouani-Olson-Titi algorithmmoving observersobserver interpolation
Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28)
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Dynamically learning the parameters of a chaotic system using partial observations ⋮ Convergence of a mobile data assimilation scheme for the 2D Navier-Stokes equations ⋮ Data assimilation with model error: analytical and computational study for sabra shell model ⋮ Data assimilation using time-delay nudging in the presence of Gaussian noise ⋮ Detectability and global observer design for 2D Navier-Stokes equations with uncertain inputs ⋮ Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation ⋮ Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm
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