Determining modes for continuous data assimilation in 2D turbulence
From MaRDI portal
Publication:1417693
DOI10.1023/A:1027312703252zbMath1137.76402OpenAlexW106245569MaRDI QIDQ1417693
Publication date: 5 January 2004
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1027312703252
Related Items
Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators ⋮ Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field ⋮ Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system ⋮ Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations ⋮ Continuous data assimilation for the 3D primitive equations of the ocean ⋮ Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study ⋮ The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations ⋮ Almost Sure Error Bounds for Data Assimilation in Dissipative Systems with Unbounded Observation Noise ⋮ Asymptotic Galerkin convergence and dynamical system results for the 3-D spectrally-hyperviscous Navier-Stokes equations on bounded domains ⋮ Oblique projection output-based feedback exponential stabilization of nonautonomous parabolic equations ⋮ Analysis of the 3DVAR filter for the partially observed Lorenz '63 model ⋮ Convergence of a mobile data assimilation scheme for the 2D Navier-Stokes equations ⋮ Simple and efficient continuous data assimilation of evolution equations via algebraic nudging ⋮ Data assimilation using time-delay nudging in the presence of Gaussian noise ⋮ Super-exponential convergence rate of a nonlinear continuous data assimilation algorithm: the 2D Navier-Stokes equation paradigm ⋮ Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow ⋮ Downscaling the 2D Bénard convection equations using continuous data assimilation ⋮ Accuracy and stability of filters for dissipative PDEs ⋮ Observers for Compressible Navier--Stokes Equation ⋮ Unnamed Item ⋮ Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations ⋮ Continuous data assimilation using general interpolant observables ⋮ Accuracy of Some Approximate Gaussian Filters for the Navier--Stokes Equation in the Presence of Model Error ⋮ Continuous data assimilation for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field ⋮ Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations ⋮ Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation -- Fourier modes case ⋮ Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations ⋮ Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements ⋮ Data assimilation for the Navier-Stokes-\(\alpha \) equations ⋮ Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations ⋮ Continuous data assimilation for the three-dimensional Navier–Stokes-α model ⋮ Low dimensional attractors arise from forcing at small scales ⋮ Determining modes and Grashof number in 2D turbulence: a numerical case study ⋮ Discrete data assimilation for the three-dimensional Navier–Stokes-$\alpha $ model ⋮ Stochastic parameterization of the time-relaxation model of turbulence ⋮ Global attractors and determining modes for the 3D Navier-Stokes-Voight equations ⋮ Unnamed Item ⋮ Residual stress of approximate deconvolution models of turbulence ⋮ A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics ⋮ Data Assimilation for the Navier--Stokes Equations Using Local Observables ⋮ Determining functionals and finite-dimensional reduction for dissipative PDEs revisited ⋮ A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case ⋮ Continuous data assimilation for the 2D Bénard convection through velocity measurements alone