On the derivation of the Navier–Stokes–alpha equations from Hamilton's principle
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Publication:3524063
DOI10.1017/S0022112008001213zbMath1151.76413WikidataQ57946853 ScholiaQ57946853MaRDI QIDQ3524063
Paul H. Roberts, Andrew M. Soward
Publication date: 8 September 2008
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Incompressible viscous fluids (76D99) Variational methods applied to problems in fluid mechanics (76M30) Hamilton's principle (70H25) Incompressible inviscid fluids (76B99)
Related Items (7)
Geodesic motion on groups of diffeomorphisms with H1 metric as geometric generalised Lagrangian mean theory ⋮ Lagrangian averaging with geodesic mean ⋮ The hybrid Euler–Lagrange procedure using an extension of Moffatt's method ⋮ A derivation of the NS-α model and preliminary application to plane channel flow ⋮ The Navier–Stokes-αequations revisited ⋮ The dynamics of unforced turbulence at high Reynolds number for Taylor–Green vortices generalized to MHD ⋮ Eulerian and Lagrangian means in rotating, magnetohydrodynamic flows II. Braginsky’s nearly axisymmetric dynamo
Cites Work
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
- Eulerian–Lagrangian means in rotating, magnetohydrodynamic flows I. General results
- An exact theory of nonlinear waves on a Lagrangian-mean flow
- On wave-action and its relatives
- An integrable shallow water equation with peaked solitons
- A kinematic theory of large magnetic Reynolds number dynamos
- Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics
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