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SUMMARY:Development of high-order adaptive global models by multi-moment (
 constrained) finite volume method - Chen\, C (Jiaotong University)
DTSTART:20121119T100000Z
DTEND:20121119T110000Z
UID:TALK41552@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The numerical schemes using multi-moment concepts were develop
 ed recently. More than one kinds of moments\, which denote the discrete qu
 antities of the physical fields from different aspects\, such as point val
 ue (PV)\, volume-integrated average (VIA)\, derivative values (DVs) of dif
 ferent orders and so on\, are adopted as model variables or constraints to
  build high-order schemes with local (usually single-cell based) reconstru
 ctions. The concise formulations are derived to update different moments. 
 The numerical conservation is always preserved through updating VIA by flu
 x-form formulation. Compared to other advanced methods with local reconstr
 uction\, the multi-moment schemes often allow the larger CFL numbers and a
 re more flexible for different applications\, and thus are very suited for
  developing global models for atmospheric and oceanic dynamics. This talk 
 will mainly report the following progress we have recently made to develop
  global models using multi-moment method. 1) A global SWE model up to fift
 h-order accuracy has been developed on cubed sphere. Compact reconstructio
 n stencil is beneficial to reducing the excessive errors due to the discon
 tinuous coordinates on adjacent patches. Furthermore\, the AMR technique h
 as be extended to spherical geometry on cubed sphere using a multi-moment 
 finite volume formulation. 2) Multi-moment schemes have been used to const
 ruct high-order numerical models on icosahedral grid\, which is a kind of 
 unstructured grid in nature. By defining 7 and 10 DOFs within each element
 \, the third- and fourth-order global SWE models have been developed on tr
 iangular- and hexagonal-type tessellations. 3) Two-dimensional non-hydrost
 atic model has been developed using the third- and fourth-order multi-mome
 nt constrained schemes. Proposed models have been checked by benchmark tes
 ts and the results are competitive to most existing models. The multi-mome
 nt framework is very promising for developing the high-performance dynamic
  core for GCMs.\n
LOCATION:Seminar Room 1\, Newton Institute
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