Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements
From MaRDI portal
Publication:5109772
DOI10.1137/19M1248327zbMath1434.76041arXiv1903.01508MaRDI QIDQ5109772
No author found.
Publication date: 13 May 2020
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.01508
Inference from stochastic processes and prediction (62M20) PDEs in connection with fluid mechanics (35Q35) Applications of statistics to physics (62P35) Convection in hydrodynamic stability (76E06) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)
Related Items (19)
Concurrent MultiParameter Learning Demonstrated on the Kuramoto--Sivashinsky Equation ⋮ Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ Dynamically learning the parameters of a chaotic system using partial observations ⋮ Continuous data assimilation for two-phase flow: analysis and simulations ⋮ Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations ⋮ Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations ⋮ Determining map, data assimilation and an observable regularity criterion for the three-dimensional Boussinesq system ⋮ 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 ⋮ Determining the viscosity of the Navier–Stokes equations from observations of finitely many modes ⋮ 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 ⋮ Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation ⋮ Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study ⋮ Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations ⋮ Parameter Recovery for the 2 Dimensional Navier--Stokes Equations via Continuous Data Assimilation ⋮ Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number ⋮ Continuous Data Assimilation for the Three-Dimensional Navier--Stokes Equations ⋮ Data Assimilation for the Navier--Stokes Equations Using Local Observables
Uses Software
Cites Work
- 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
- 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
- Internally heated convection and Rayleigh-Bénard convection
- Determining finite volume elements for the 2D Navier-Stokes equations
- Ordinary differential equations, transport theory and Sobolev spaces
- Bound on vertical heat transport at large Prandtl number
- Determining modes and Grashof number in 2D turbulence: a numerical case study
- On the number of determining nodes for the 2D Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: 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
- Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection.
- Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations
- Data assimilation using noisy time-averaged measurements
- Large Prandtl number asymptotics in randomly forced turbulent convection
- A determining form for the subcritical surface quasi-geostrophic equation
- 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
- Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
- Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
- Continuous data assimilation for the three-dimensional Navier–Stokes-α model
- Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation
- Internal heating driven convection at infinite Prandtl number
- Rigid bounds on heat transport by a fluid between slippery boundaries
- Small-Scale Properties of Turbulent Rayleigh-Bénard Convection
- Infinite Prandtl number limit of Rayleigh-Bénard convection
- Determining nodes, finite difference schemes and inertial manifolds
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
- Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations
- Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
- Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm
- Deterministic Nonperiodic Flow
- Algebraic bounds on the Rayleigh–Bénard attractor
- 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
- Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number
- A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
- Stationary statistical properties of Rayleigh‐Bénard convection at large Prandtl number
- A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
- Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates
- Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements
This page was built for publication: Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements