Evaluation of multiresolution mesh adaptation criteria in the AMROC framework
Evaluation of multiresolution mesh adaptation criteria in the AMROC framework
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 cell-averaged 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.
block-structured parallel adaptive mesh refinement, adaptation criteria, multiresolution analysis, wavelets, Euler equations, AMROC
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Domingues, M. O.
e5a87d6b-dab2-4e59-829c-c53298d3b00e
9 June 2017
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Domingues, M. O.
e5a87d6b-dab2-4e59-829c-c53298d3b00e
Deiterding, Ralf and Domingues, M. O.
(2017)
Evaluation of multiresolution mesh adaptation criteria in the AMROC framework.
Ivanyi, P., Topping, B. H. V. and Varady, G.
(eds.)
In Proceedings of the Fifth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering.
Civil-Comp Press.
17 pp
.
(doi:10.4203/ccp.111.45).
Record type:
Conference or Workshop Item
(Paper)
Abstract
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 cell-averaged 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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Accepted/In Press date: 21 March 2017
Published date: 9 June 2017
Keywords:
block-structured parallel adaptive mesh refinement, adaptation criteria, multiresolution analysis, wavelets, Euler equations, AMROC
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 407844
URI: http://eprints.soton.ac.uk/id/eprint/407844
ISSN: 1759-3433
PURE UUID: dfc5b005-4b08-41e5-aa30-3ed0353f3056
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Date deposited: 27 Apr 2017 01:04
Last modified: 16 Mar 2024 04:22
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Contributors
Author:
M. O. Domingues
Editor:
P. Ivanyi
Editor:
B. H. V. Topping
Editor:
G. Varady
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