@Article{DeiterdingDomi:2017:EvMuMe,
author = "Deiterding, R. and Domingues, Margarete Oliveira",
affiliation = "{University of Southampton} and {Instituto Nacional de Pesquisas
Espaciais (INPE)}",
title = "Evaluation of multiresolution mesh adaptation criteria in the
AMROC framework",
journal = "Civil-Comp Proceedings",
year = "2017",
volume = "111",
keywords = "Adaptation criteria, AMROC, Block-structured parallel adaptive
mesh refinement, Euler equations, Multiresolution analysis,
Wavelets.",
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 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.",
issn = "1759-3433",
language = "en",
targetfile = "deiterding_evaluation.pdf",
urlaccessdate = "23 abr. 2024"
}