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PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Edited by: P. Iványi, B.H.V. Topping and G. Várady
Evaluation of Multiresolution Mesh Adaptation Criteria in the AMROC Framework
R. Deiterding1 and M.O. Domingues2
1Aerodynamics and Flight Mechanics Research Group, University of Southampton,
Southampton, United Kingdom
R. Deiterding, M.O. Domingues, "Evaluation of Multiresolution Mesh Adaptation Criteria in the AMROC Framework", in P. Iványi, B.H.V. Topping, G. Várady, (Editors), "Proceedings of the Fifth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 45, 2017. doi:10.4203/ccp.111.45
Keywords: block-structured parallel adaptive mesh refinement, adaptation criteria, multiresolution analysis, wavelets, Euler equations, AMROC.
In this paper we present recent results on the use of wavelet-based mesh adaptation criteria. The technique has been incorporated into the structured adaptive mesh refinement (SAMR) algorithms implemented in the AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework. With this tool we can compute locally the wavelet coefficients by means of a two-level wavelet transform. The amplitude of these coefficients can be related to the local regularity of the solution, and consequently they can be used as a powerful local refinement indicator. Here, we verify that the cellaveraged multiresolution method, that is a mathematically more rigorous approach than the popular scaled gradient or the heuristic error estimation by Richardson extrapolation, generally leads to sparser mesh adaptation for commensurate or even smaller numerical errors than the criteria traditionally used in SAMR. Numerical experiments of classical advection and Riemann problems for inviscid gas dynamics are employed to highlight the abilities and features of the new approach.
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