Data assimilation for the Navier-Stokes-\(\alpha \) equations
From MaRDI portal
Publication:732360
DOI10.1016/j.physd.2009.07.008zbMath1172.76015OpenAlexW1532495845MaRDI QIDQ732360
Publication date: 9 October 2009
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2009.07.008
Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to problems in fluid mechanics (76M30) Flow control and optimization for incompressible viscous fluids (76D55)
Related Items
Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field, Time Optimal Control Problem of the 3D Navier-Stokes-α Equations, On degrees of freedom of certain conservative turbulence models for the Navier-Stokes equations, Downscaling the 2D Bénard convection equations using continuous data assimilation, Decay characterization of solutions to the viscous Camassa–Holm equations, Unnamed Item, Continuous data assimilation using general interpolant observables, Continuous data assimilation for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field, An optimal control problem of the 3D viscous Camassa–Holm equations, Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation -- Fourier modes case, Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics, 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, Discrete data assimilation for the three-dimensional Navier–Stokes-$\alpha $ model, A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics, Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations*, Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Implementation of the LANS-\(\alpha\) turbulence model in a primitive equation ocean model
- Efficient form of the LANS-\(\alpha \) turbulence model in a primitive-equation ocean model
- The Camassa-Holm equations and turbulence
- Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
- A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Determining modes for continuous data assimilation in 2D turbulence
- A study of the initialization problem for the Navier-Stokes equations
- A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
- Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
- On the controllability of distributed systems
- Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
- Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
- Perspectives in Flow Control and Optimization
- On a Leray–α model of turbulence
- 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
