A variational approach to high-order r-adaptation

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Title: A variational approach to high-order r-adaptation
Authors: Marcon, J
Turner, M
Moxey, D
Sherwin, SJ
Peiro, J
Item Type: Conference Paper
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.
Date of Acceptance: 16-Aug-2017
URI: http://hdl.handle.net/10044/1/65958
Copyright Statement: © 2017 The Author(s)
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 675585
Conference Name: 26th International Meshing Roundtable
Keywords: high-order meshing
r-adaptation
variational formulation
Start Date: 2017-09-18
Finish Date: 2017-09-21
Conference Place: Barcelona, Spain
Open Access location: https://imr.sandia.gov/papers/imr26/2015_imr26RN_Marcon.pdf
Appears in Collections:Faculty of Engineering
Aeronautics



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