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SUMMARY:A multi-moment constrained finite volume model for non-hydrostatic
  atmospheric dynamics - Xingliang Li\,   (China Meteorological Administrat
 ion)
DTSTART:20120927T110000Z
DTEND:20120927T112500Z
UID:TALK40217@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Two dimensional non‐hydrostatic compressible dynamic cores f
 or atmosphere are developed by using a new nodal type high order conservat
 ive method\, so called multi‐moment constrained finite volume (MCV) meth
 od. Different from conventional finite volume method\, the predicted varia
 bles (unknowns) in an MCV scheme are the values at the solution points dis
 tributed within each mesh cell. The time evolution equations to update the
  unknown point values are derived from a set of constraint conditions base
 d on multi‐moment concept\, where the constraint on the volume integrate
 d average (VIA) for each mesh cell is cast into a flux form and thus guara
 ntees rigorously the numerical conservation. Two important features makes 
 MCV method particularly attractive as an accurate and practical numerical 
 framework for atmospheric and oceanic modelling. 1) Using nodal values at 
 uniformly located solution points as the predicted variables provides grea
 t convenience in de aling with complex geometry and source terms\, and 2) 
 High order schemes can be built by using constraints in terms of different
  moments\, which makes the numerical schemes more flexible and efficient. 
 We present in this paper the dynamic cores that use the third and the four
 th order MCV schemes. We have verified the numerical outputs of both schem
 es by widely used standard benchmark tests and obtained competitive result
 s. The present numerical cores provide a promising and practical framework
  for further development of non‐hydrostatic compressible atmospheric mod
 els.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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