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SUMMARY:A Semi-Lagrangian Discontinuous Galerkin (SLDG) Conservative Trans
 port Scheme on the Cubed-Sphere - Ramachandran Nair\,   (National Center f
 or Atmospheric Research)
DTSTART:20120924T135000Z
DTEND:20120924T141500Z
UID:TALK40016@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The discontinuous Galerkin (DG) method combines fine features 
 of high-order accurate finite-element and finite-volume methods. Because o
 f its geometric flexibility and high parallel efficiency\, DG method is be
 coming increasingly popular in atmospheric and ocean modeling. However\, a
  major drawback of DG method is its stringent CFL stability restriction as
 sociated with explicit time-stepping. A way to get around this issue is to
  combine DG method with a Lagrangian approach based on the characteristic 
 Lagrange-Galerkin philosophy. Unfortunately\, a fully 2D approach combinin
 g DG and Lagrangian methods is algorithmically complex and computationally
  expensive for practical application\, particularly for non-orthogonal cur
 vilinear geometry such as the cubed-sphere grid system. We adopt a dimensi
 on-splitting approach where a regular semi-Lagrangian (SL) scheme is combi
 ned with the DG method. The resulting SLDG scheme employs a sequence of 1D
  operations for solving transport equation on the cubed-sphere. The SLDG s
 cheme is inherently conservative and has the option to incorporate a local
  positivity-preserving filter for tracers. A novel feature of the SLDG alg
 orithm is that it can be used for multi-tracer transport for global models
  employing spectral-element (structured or unstructured) grids. The SLDG s
 cheme is tested for various benchmark advection test-suites on the sphere 
 and results will be presented in the seminar.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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