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DTSTAMP:20171030T081236Z
DTSTART;TZID=America/Los_Angeles:20171213T160000
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TRANSP:OPAQUE
SUMMARY:Applied Math Seminar: Theory and Applications of Unstructured h-p Mesh Optimization for Computational Fluid Dynamics
UID:113015-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:891 Evans Hall
DESCRIPTION:Krzysztof Fidkowski\, University of Michigan\n\nThis presentation first reviews existing methods for adapting and optimizing computational meshes in an output-based setting. The target discretization is the high-order discontinuous Galerkin finite element method\, on unstructured meshes with variable-order elements. While high-order discretizations have the potential for high accuracy\, they may not show a clear benefit in efficiency over low-order methods when applied to problems with discon inuities in the solution or derivatives. In such cases\, the performance of high-order methods can be improved through adaptive mesh optimization. We focus on adaptive methods in which the mesh size and order distribution are modified in an a posteriori manner based on the solution. To drive the optimization\, we use an output-based technique that requires the solution of an adjoint problem for a chosen output and calculations of residuals on finer approximation spaces. The mesh size is encoded in a node-based metric\, and the approximation order\, when adapted\, is stored as a scalar field. An optimal distribution of both quantities is found by deriving cost and error models for h and p refinement\, and by iteratively equidistributing the marginal error to cost ratios of refinement. The result is an optimal anisotropic mesh and order field for a particular flow problem. We demonstrate this h-p optimization technique for several representative flow problems in aerospace engineering\, and we compare the results to other refinement techniques\, including h-only and p-only refinement.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=113015&view=preview
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