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SUMMARY:Linear advection characteristics of a variable resolution global s
 pectral method on the sphere - Janakiraman Subburathnam\,   (Centre for De
 velopment of Advanced Computing\, (C-DAC))
DTSTART:20120925T085000Z
DTEND:20120925T091500Z
UID:TALK40090@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Advection experiments are conducted with a variable resolution
  global spectral method on the sphere. The variable resolution grid has fi
 ner resolution over the tropics and the resolution decreases smoothly as w
 e move towards the poles [Janakiraman et al (2012) ]. An Eulerian formulat
 ion of the linear advection is used to for the spectral discretization. Ne
 ar dispersion-free advection is achieved on the high resolution tropical b
 elt. The transport across homogeneous resolution regions produce very less
  dispersion errors. Transport over the poles result in severe grid represe
 ntation errors. It is shown that increasing the resolution over the reatly
  reduces this error. Transport of a feature from apoint close to poles but
  not over it does not produce such representation errors. A comparison of 
 time-schemes such as 4-th order Runge-Kutta method\, Magazenkov scheme and
  Leap-frog scheme for the advection experiment is also presented. \n\nRefe
 rence(s) : S. Janakiraman\, Ravi S Nanjundiah and A.S. Vasudeva Murthy\, A
  novel variable resolution global spectral method on the sphere\, Vol. 231
 \, No. 7\, pp 2794--2810\, 2012.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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