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SUMMARY:Optimization-based Conservative Transport on the Sphere - Kara Pet
 erson\,   (Sandia National Laboratories)
DTSTART:20120925T091500Z
DTEND:20120925T094000Z
UID:TALK40095@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We present a new optimization-based conservative transport alg
 orithm for scalar quantities (i.e. mass) that preserves monotonicity witho
 ut the use of flux limiters. The method is formulated as a singly linearly
  constrained quadratic program with simple bounds where the net mass updat
 es to the cell are the optimization variables. The objective is to minimiz
 e the discrepancy between a target or high-order mass update and a mass up
 date that satisfies physical bounds. In this way\, we separate accuracy co
 nsiderations\, handled by the objective functional from the enforcement of
  physical bounds\, handled by the contraints. With this structure mass con
 servation is incorporated as a constraint and a simple\, efficient\, and e
 asily parallelizable optimization algorithm is obtained. This algorithm ha
 s been extended to a latitude-longitude grid for two-dimensional remapping
  and transport on the sphere. Results for several standard test problems o
 n the sphere will be shown to illustrate the accuracy and robustness of th
 e method.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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