Journal article

### Enhanced inverse-cascade of energy in the averaged Euler equations

Abstract:

For a particular choice of the smoothing kernel, it is shown that the system of partial differential equations governing the vortex-blob method corresponds to the averaged Euler equations. These latter equations have recently been derived by averaging the Euler equations over Lagrangian fluctuations of length scale $\a$, and the same system is also encountered in the description of inviscid and incompressible flow of second-grade polymeric (non-Newtonian) fluids. While previous studies of thi...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
2000-05-03
Source identifiers:
407503
Keywords:
Pubs id:
pubs:407503
UUID:
uuid:0d678a1e-f01f-4961-ab27-7a428d627363
Local pid:
pubs:407503
Deposit date:
2013-11-16