@Article{DeiterdingDomiGomeSchn:2016:CoAdMu,
author = "Deiterding, Ralf and Domingues, Margarete Oliveira and Gomes,
S{\^o}nia M. and Schneider, Kai",
affiliation = "{University of Southampton} and {Instituto Nacional de Pesquisas
Espaciais (INPE)} and {Universidade Estadual de Campinas
(UNICAMP)} and {Universit{\'e} d'Aix-Marseille}",
title = "Comparison of adaptive multiresolution and adaptive mesh
refinement applied to simulations of the compressible Euler
equation",
journal = "SIAM Journal on Scientific Computing",
year = "2016",
volume = "38",
number = "5",
pages = "S173--S193",
keywords = "Adaptive numerical methods, Conservation laws, Euler equations,
Local time stepping, Mesh refinement, Multiresolution.",
abstract = "We present a detailed comparison between two adaptive numerical
approaches to solve partial differential equations, adaptive
multiresolution (MR) and adaptive mesh refinement (AMR). Both
discretizations are based on finite volumes in space with second
order shock-capturing and explicit time integration either with or
without local time stepping. The two methods are benchmarked for
the compressible Euler equations in Cartesian geometry. As test
cases a two-dimensional Riemann problem, Lax-Liu #6, and a
three-dimensional ellipsoidally expanding shock wave have been
chosen. We compare and assess their computational efficiency in
terms of CPU time and memory requirements. We evaluate the
accuracy by comparing the results of the adaptive computations
with those obtained with the corresponding FV scheme using a
regular fine mesh. We find that both approaches yield similar
trends for CPU time compression for increasing number of
refinement levels. MR exhibits more efficient memory compression
than AMR and shows slightly enhanced convergence; however, a
larger absolute overhead is measured for the tested codes.",
doi = "10.1137/15M1026043",
url = "http://dx.doi.org/10.1137/15M1026043",
issn = "1064-8275",
language = "en",
targetfile = "ddgs_sisc2016final.pdf",
urlaccessdate = "27 abr. 2024"
}