Determining modes and Grashof number in 2D turbulence: a numerical case study
From MaRDI portal
Publication:1032063
DOI10.1007/s00162-008-0086-1zbMath1178.76190OpenAlexW2026172681MaRDI QIDQ1032063
Publication date: 26 October 2009
Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00162-008-0086-1
Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Convective turbulence (76F35)
Related Items
Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field ⋮ Concurrent MultiParameter Learning Demonstrated on the Kuramoto--Sivashinsky Equation ⋮ Continuous data assimilation algorithm for the two dimensional Cahn-Hilliard-Navier-Stokes system ⋮ 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 ⋮ Effect of hyperviscosity on the geometry of the vorticity ⋮ Continuous data assimilation for the 3D Ladyzhenskaya model: analysis and computations ⋮ One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations ⋮ Convergence of a mobile data assimilation scheme for the 2D Navier-Stokes equations ⋮ 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 ⋮ Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements ⋮ Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques ⋮ Attractors. Then and now ⋮ Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow ⋮ Downscaling the 2D Bénard convection equations using continuous data assimilation ⋮ Continuous data assimilation using general interpolant observables ⋮ Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques ⋮ Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier-Stokes equations ⋮ 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 ⋮ Continuous data assimilation for the three-dimensional Navier–Stokes-α model ⋮ Stochastic parameterization of the time-relaxation model of turbulence ⋮ Global attractors and determining modes for the 3D Navier-Stokes-Voight equations ⋮ Unnamed Item ⋮ 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 ⋮ Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- On the smallest scale for the incompressible Navier-Stokes equations
- An example of absence of turbulence for any Reynolds number
- On the dimension of the attractors in two-dimensional turbulence
- Convection-enhanced diffusion for random flows
- Computational efficiency and approximate inertial manifolds for a Bénard convection system
- Determining modes for continuous data assimilation in 2D turbulence
- Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence
- Optimal bounds on the dimension of the attractor of the Navier-Stokes equations
- Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations
- Dissipation in turbulent solutions of 2D Euler equations
- THE GULF STREAM AS AN INERTIAL BOUNDARY LAYER
- Attractors of partial differential evolution equations and estimates of their dimension
- Convection Enhanced Diffusion for Periodic Flows
- Finite-size effects in forced two-dimensional turbulence
- Turbulent Flows
- Numerical Experiments on the Interaction Between the Large- and Small-Scale Motions of the Navier-Stokes Equations
- Revisiting Batchelor's theory of two-dimensional turbulence
- Analytical theories of turbulence
- Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
This page was built for publication: Determining modes and Grashof number in 2D turbulence: a numerical case study