Data assimilation with model error: analytical and computational study for sabra shell model

DOI10.1016/j.physd.2022.133552OpenAlexW4306167221MaRDI QIDQ2677779

Nan Chen, Aseel Farhat, Evelyn M. Lunasin

Publication date: 6 January 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133552

zbMATH Keywords

model errorenergy cascadesimplified Bardina modelanalytic subgrid scale turbulence modelnudging data assimilationSabra shell model

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Geophysics (86-XX)

Uses Software

• EnKF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field
• New perspectives on superparameterization for geophysical turbulence
• Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm
• Higher-order synchronization for a data assimilation algorithm for the 2D Navier-Stokes equations
• A data assimilation algorithm for the subcritical surface quasi-geostrophic equation
• Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation -- Fourier modes case
• Analysis of a general family of regularized Navier-Stokes and MHD models
• Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• A similarity theory of approximate deconvolution models of turbulence
• Global regularity for a Birkhoff-Rott-\(\alpha \) approximation of the dynamics of vortex sheets of the 2D Euler equations
• On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
• Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit
• The Camassa-Holm equations and turbulence
• Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
• Test models for improving filtering with model errors through stochastic parameter estimation
• Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• A shell model for optimal mixing
• Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study
• Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study
• Downscaling the 2D Bénard convection equations using continuous data assimilation
• Continuous data assimilation algorithm for simplified Bardina model
• Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
• Non-Gaussian test models for prediction and state estimation with model errors
• Accuracy and stability of filters for dissipative PDEs
• Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations
• Data assimilation using noisy time-averaged measurements
• The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier-Stokes equations
• Dynamically learning the parameters of a chaotic system using partial observations
• Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation
• A determining form for the damped driven nonlinear Schrödinger equation -- Fourier modes case
• Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation
• Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
• Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone
• On the Charney conjecture of data assimilation employing temperature measurements alone: the paradigm of 3D planetary geostrophic model
• Continuous data assimilation using general interpolant observables
• Analytic study of shell models of turbulence
• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence
• Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
• Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation
• A study of the Navier–Stokes-α model for two-dimensional turbulence
• Mathematics of Large Eddy Simulation of Turbulent Flows
• Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation
• An inviscid regularization for the surface quasi‐geostrophic equation
• Spectral scaling of the Leray-α model for two-dimensional turbulence
• Analytical study of certain magnetohydrodynamic-α models
• A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
• A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows
• The 3D Navier-Stokes Problem
• S<scp>HELL</scp> M<scp>ODELS OF</scp> E<scp>NERGY</scp> C<scp>ASCADE IN</scp> T<scp>URBULENCE</scp>
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• A unifying view of synchronization for data assimilation in complex nonlinear networks
• Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
• Applied Analysis of the Navier-Stokes Equations
• Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations
• Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements
• Probabilistic Forecasting and Bayesian Data Assimilation
• Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation
• A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence
• Continuous data assimilation with stochastically noisy data
• Data Assimilation
• Data Assimilation
• A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
• The ensemble Kalman filter for combined state and parameter estimation
• Filtering Complex Turbulent Systems
• On a Leray–α model of turbulence
• Coarse-grained stochastic models for tropical convection and climate
• A modified-Leray-α subgrid scale model of turbulence
• A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
• Low order models representing realizations of turbulence
• Data Assimilation
• The Navier-Stokes-alpha model of fluid turbulence
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
• Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements

This page was built for publication: Data assimilation with model error: analytical and computational study for sabra shell model