Symmetry justification of Lorenz' maximum simplification

Details Symmetry justification of Lorenz' maximum simplification Symmetry justification of Lorenz' maximum simplification

2008-05-27

arxiv.org/abs/0805.4061v3

Nonlinear Dynam. 61 (2010), 101-107

Physics

Fluid Dynamics

8 pages, minor corrections

Scientific paper

10.1007/s11071-009-9634-5

In 1960 Edward Lorenz (1917-2008) published a pioneering work on the `maximum simplification' of the barotropic vorticity equation. He derived a coupled three-mode system and interpreted it as the minimum core of large-scale fluid mechanics on a `finite but unbounded' domain. The model was obtained in a heuristic way, without giving a rigorous justification for the chosen selection of modes. In this paper, it is shown that one can legitimate Lorenz' choice by using symmetry transformations of the spectral form of the vorticity equation. The Lorenz three-mode model arises as the final step in a hierarchy of models constructed via the component reduction by means of symmetries. In this sense, the Lorenz model is indeed the `maximum simplification' of the vorticity equation.

Affiliated with

Also associated with

No associations

Rating

Symmetry justification of Lorenz' maximum simplification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry justification of Lorenz' maximum simplification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry justification of Lorenz' maximum simplification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273213