🚀 go-pugleaf

In article <1992Nov12.201358.3135@alchemy.chem.utoronto.ca>,
mroussel@alchemy.chem.utoronto.ca (Marc Roussel) says:
>
>     These are indeed the Lorenz equations (as they are now known) but
>these aren't the original weather simulation equations where Lorenz
>noticed sensitive dependence on initial conditions.  Lorenz actually
>started out with some specialized version of the Navier-Stokes equation
>(a PDE) and noticed sensitive dependence in these equations under the         s
>condition
>of his weather simulation.  The Lorenz ODEs shown above are a truncation
>of the Navier-Stokes equation for the special case of (I think)
>Rayleigh-Benard convection under certain fairly restrictive conditions.
>Lorenz cooked up these equations as a simple example of what he was
>seeing in his more sophisticated weather models.
>
Barry Saltzman (a Lorenz grad student I believe) ran the experiment which is
discussed in his paper 1962 J. Atmos. Sci vol 19. Lorenz saw that there
were primarily only three active modes for R-B convection and thus started
to help generate this great field.
--
  =======================================================================
        Mark J. Laufersweiler      |  I consider the day to be a TOTAL
        l89@psuvm.psu.edu          |     loss unless I receive HELL
        laufers@psumeteo.psu.edu   |            from someone!
                                   |