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@comment{{This file has been generated by bib2bib 1.95}}
@comment{{Command line: /usr/bin/bib2bib --quiet -c 'not journal:"Discussions"' -c 'not journal:"Polymer Science"' -c year=1975 -c $type="ARTICLE" -oc lmd_LEGACY1975.txt -ob lmd_LEGACY1975.bib /home/WWW/LMD/public/}}
  author = {{Sadourny}, R.},
  title = {{Compressible Model Flows on the Sphere.}},
  journal = {Journal of Atmospheric Sciences},
  year = 1975,
  month = nov,
  volume = 32,
  pages = {2103-2110},
  abstract = {{The effect of potential enstrophy conservation in finite-difference
model flows on the stability of large- scale Rossby waves is
investigated. It is also shown that cylindrical coordinates can be used
successfully in global numerical experiments. Coherent boundary
conditions at the poles are derived and tested on Rossby waves allowing
cross-polar flow.
  doi = {10.1175/1520-0469(1975)032<2103:CMFOTS>2.0.CO;2},
  adsurl = {},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
  author = {{Basdevant}, C. and {Sadourny}, R.},
  title = {{Ergodic properties of inviscid truncated models of two-dimensional incompressible flows}},
  journal = {Journal of Fluid Mechanics},
  keywords = {Ergodic Process, Incompressible Flow, Inviscid Flow, Mathematical Models, Two Dimensional Flow, Canonical Forms, Digital Simulation, Energy Spectra, Multiphase Flow, Numerical Integration, Statistical Mechanics, Two Dimensional Models},
  year = 1975,
  month = jun,
  volume = 69,
  pages = {673-688},
  abstract = {{The equilibrium spectra of two-dimensional numerical model flows are
studied from the viewpoint of microcanonical ensemble averages. The
method leads to accurate numerical verification of the ergodic, or
mixing, hypothesis in the case of systems constrained to a finite number
of degrees of freedom.
  doi = {10.1017/S0022112075001620},
  adsurl = {},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
  author = {{Sadourny}, R.},
  title = {{The Dynamics of Finite-Difference Models of the Shallow-Water Equations.}},
  journal = {Journal of Atmospheric Sciences},
  year = 1975,
  month = apr,
  volume = 32,
  pages = {680-689},
  abstract = {{Two simple numerical models of the shallow-water equations identical in
all respects but for their con-servation properties have been tested
regarding their internal mixing processes. The experiments show that
violation of enstrophy conservation results in a spurious accumulation
of rotational energy in the smaller scales, reflected by an unrealistic
increase of enstrophy, which ultimately produces a finite rate of energy
dissipation in the zero viscosity limit, thus violating the well-known
dynamics of two-dimensional flow. Further, the experiments show a
tendency to equipartition of the kinetic energy of the divergent part of
the flow in the inviscid limit, suggesting the possibility of a
divergent energy cascade in the physical system, as well as a possible
influence of the energy mixing on the process of adjustment toward
balanced flow.
  doi = {10.1175/1520-0469(1975)032<0680:TDOFDM>2.0.CO;2},
  adsurl = {},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
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