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SUMMARY:Slice models - Holm\, D (Imperial College London)
DTSTART:20131204T091500Z
DTEND:20131204T101500Z
UID:TALK49173@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Colin Cotter (Imperial College) \n\nA variational f
 ramework is defined for vertical slice models with three dimensional veloc
 ity depending only on horizontal $x$ and vertical $z$. The models that res
 ult from this framework are Hamiltonian\, and have a Kelvin-Noether circul
 ation theorem that results in a conserved potential vorticity in the slice
  geometry. These results are demonstrated for the incompressible Euler--Bo
 ussinesq equations with a constant temperature gradient in the $y$-directi
 on (the Eady--Boussinesq model)\, which is an idealised problem used to st
 udy the formation and subsequent evolution of weather fronts. We then intr
 oduce a new compressible extension of this model for testing compressible 
 weather models running in a vertical slice configuration. (Joint work with
  CJ Cotter\, Imperial College).\n
LOCATION:Seminar Room 1\, Newton Institute
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