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, 
             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 
                 issn = "1759-3433",
             language = "en",
           targetfile = "deiterding_evaluation.pdf",
        urlaccessdate = "19 abr. 2021"