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Avariational approach to high-order r-adaptation

Marcon, Julian, Michael Turner, David Moxey, Spencer J. Sherwin, Joaquim Peiro

Research Notes, 26th International Meshing Roundtable, Sandia National Laboratories, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Julian Marcon, Imperial College London, GB, julian.marcon14@imperial.ac.uk
Michael Turner, Imperial College London, GB, m.turner14@imperial.ac.uk
David Moxey, University of Exeter, GB, d.moxey@exeter.ac.uk
Spencer J. Sherwin, Imperial College London, GB, s.sherwin@imperial.ac.uk
Joaquim Peiro, Imperial College London, GB, j.peiro@imperial.ac.uk

Research Note Abstract
A variational framework, initially developed for high-order mesh optimisation, is being extended for r-adaptation. The method is based on the minimisation of a functional of the mesh deformation. To achieve adaptation, elements of the initial mesh are manipulated using metric tensors to obtain target elements. The nonlinear optimisation in turns adapts the final high-order mesh to best fit the description of the target elements by minimising the element distortion. Encouraging preliminary results prove that the method behaves well and can be used in the future for more extensive work which shall include the use of error indicators from CFD simulations.

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