@Article{OkamotoDomiYoshSchn:2016:AdWaSi,
author = "Okamoto, Naoya and Domingues, Margarete Oliveira and Yoshimatsu,
Katsurnori and Schneider, Kai",
affiliation = "{Nagoya University} and {Instituto Nacional de Pesquisas Espaciais
(INPE)} and {Nagoya University} and {Aix-Marseille
Universit{\'e}}",
title = "Adaptive wavelet simulation of weakly compressible flow in a
channel with a suddenly expanded section",
journal = "ESAIM: Proceedings and Surveys",
year = "2016",
volume = "53",
pages = "34--48",
month = "Mar.",
abstract = "We present an adaptive multiresolution simulation method for
computing weakly compressible flow bounded by solid walls of
arbitrary shape, using a finite volume (FV) approach coupled with
wavelets for grid adaptation. A volume penalization method is
employed to compute the flow in the Cartesian geometry and to
impose the boundary conditions. A dynamical adaption strategy to
advance both the locally refined grid and the flow in time uses
biorthogonal wavelet transforms at each time step. We assess the
quality and efficiency of the method for a two-dimensional flow in
a periodic channel with a suddenly expanded section. The results
are compared with a reference flow obtained by a non-adaptive FV
simulation on a uniform grid. It is shown that the adaptive method
allows for substantial reduction of CPU time and memory, while
preserving the time evolution of the velocity field obtained with
the non-adaptive simulation.",
doi = "10.1051/proc/201653003",
url = "http://dx.doi.org/10.1051/proc/201653003",
issn = "1270-900X",
language = "en",
targetfile = "okamoto_adaptive.pdf",
urlaccessdate = "28 abr. 2024"
}