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SUMMARY:Are adaptive simulations more accurate than uniform simulations? -
  Mller\, A (Naval Postgraduate School)
DTSTART:20120823T123000Z
DTEND:20120823T130000Z
UID:TALK39368@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Adaptive mesh refinement generally serves to increase computat
 ional efficiency without compromising the accuracy of the numerical soluti
 on significantly. However it is an open question in which regions the spat
 ial resolution can actually be coarsened without affecting the accuracy of
  the result significantly. Another open question is the following: does an
  adaptive computation simulate large scale features of the flow more accur
 ately than a uniform simulation when both use the same CPU time? These que
 stions are investigated in the case of a 2D dry warm air bubble with the h
 elp of a recently developed adaptive discontinuous Galerkin model.\n\nA me
 thod is introduced which allows one to compare the accuracy between differ
 ent choices of refinement regions even in a case when the exact solution i
 s not known. Essentially this is done by comparing features of the solutio
 n that are strongly sensitive to spatial resolution. The additional error 
 by using adaptivity is smaller than 1% of the total numerical error if the
  average number of elements used for the adaptive simulation is about 50% 
 smaller than the number used for the simulation with the uniform fine-reso
 lution grid. Correspondingly the adaptive simulation is almost two times f
 aster than the uniform simulation. Furthermore the adaptive simulation is 
 more accurate than a uniform simulation when both use the same CPU time.\n
LOCATION:Seminar Room 1\, Newton Institute
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